Model Step 2 - Model Card

Published

March 5, 2025

Background

A model card provides brief, transparent, responsible reporting for a trained machine learning model. Expand the code chunk below to inspect the code that loads the model, training data, and evaluation data.

Code
library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.1.4     ✔ readr     2.1.5
## ✔ forcats   1.0.0     ✔ stringr   1.5.1
## ✔ ggplot2   3.5.1     ✔ tibble    3.2.1
## ✔ lubridate 1.9.3     ✔ tidyr     1.3.1
## ✔ purrr     1.0.2     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(vetiver)
library(pins)
library(yardstick)
## 
## Attaching package: 'yardstick'
## 
## The following object is masked from 'package:readr':
## 
##     spec
library(glue)
library(kableExtra)
## 
## Attaching package: 'kableExtra'
## 
## The following object is masked from 'package:dplyr':
## 
##     group_rows


board <- pins::board_connect()
## Connecting to Posit Connect 2024.12.0 at <https://pub.current.posit.team>
v <- vetiver_pin_read(board, params$name, version = params$version)
v_meta <- pin_meta(board, params$name)

con <- DBI::dbConnect(
  odbc::odbc(),
  Driver      = "postgresql",
  Server      = Sys.getenv("DB_SERVER"),
  Port        = "5432",
  Database    = "soleng",
  UID         = Sys.getenv("DB_USER"),
  PWD         = Sys.getenv("DB_PASSWORD"),
  BoolsAsChar = "",
  timeout     = 10
)
bike_model_data <- tbl(con, DBI::Id(schema="content", name="bike_model_data"))


train_start_date <- lubridate::as_date(v$metadata$user$train_dates[1])
train_end_date <- lubridate::as_date(v$metadata$user$train_dates[2])
test_start_date <- lubridate::as_date(v$metadata$user$test_dates[1])
test_end_date <- lubridate::as_date(v$metadata$user$test_dates[2])

data <- bike_model_data %>%
  filter(date >= train_start_date) %>%
  collect() %>%
  mutate(
    data_type = case_when(
      date <= train_end_date ~ "train",
      date <= test_end_date ~ "test",
      TRUE ~ "latest"
    )
  )

train_data <- data %>%
  filter(data_type == "train")

test_data <- data %>%
  filter(data_type == "test")

Model details

  • Developed by Sam Edwardes (Posit - Solutions Engineer)
  • A ranger regression modeling workflow using features
  • This model was developed to predict how many capital bikeshare bikes will be available for a given station based on the time of day, and day of the week.
  • The data used to train the model was obtained from the capital bikeshare API.
  • Version 2736 of this model was published at 2025-03-05 16:57:49
  • If you have questions about this model, please create an issue on our GitHub repo: https://github.com/sol-eng/bike_predict/issues.

Intended use

  • The primary intended use of this model is to demonstrate an end-to-end data science workflow using Posit Connect.

Metrics

  • The metrics used to evaluate this model are:
    • Root Mean Squared Error (RMSE),
    • R Squared (RSQ), and
    • Mean Absolute Error (MAE).
  • We chose these metrics because because they are the most common metrics for assessing the performance of regression models, and that they are well understood by the data science community.

Training data & evaluation data

The training data set for this model was was obtained from the capital bikeshare API. The Model is retrained on a daily basis using refreshed data.

  • Training date range: 2023-12-10 to 2024-01-05.
  • Evaluation date range: 2024-01-06 to 2025-03-04.

The data set for this model has the “prototype” or signature:

Code
glimpse(v$prototype)
Rows: 1
Columns: 7
$ id    <chr> "0099b016-32c9-4536-ac4c-dcc1a117bd95"
$ hour  <dbl> 0
$ date  <date> 2023-12-10
$ month <dbl> 12
$ dow   <chr> "Sunday"
$ lat   <dbl> 38.87035
$ lon   <dbl> -76.94528

Below is a summary of the training data:

Code
train_data %>%
  select(-n_bikes) %>%
  skimr::skim()
Data summary
Name Piped data
Number of rows 190826
Number of columns 8
_______________________
Column type frequency:
character 3
Date 1
numeric 4
________________________
Group variables None

Variable type: character

skim_variable n_missing complete_rate min max empty n_unique whitespace
id 0 1 19 36 0 745 0
dow 0 1 6 9 0 7 0
data_type 0 1 5 5 0 1 0

Variable type: Date

skim_variable n_missing complete_rate min max median n_unique
date 0 1 2023-12-10 2024-01-05 2023-12-21 27

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
hour 0 1 11.13 6.68 0.00 6.00 10.00 16.00 22.00 ▇▅▇▆▇
month 0 1 11.40 2.50 1.00 12.00 12.00 12.00 12.00 ▁▁▁▁▇
lat 0 1 38.91 0.06 38.78 38.88 38.90 38.93 39.13 ▂▇▃▁▁
lon 0 1 -77.07 0.09 -77.37 -77.09 -77.04 -77.01 -76.83 ▁▁▆▇▁

Below is a summary of the evaluation data:

Code
test_data %>%
  select(-n_bikes) %>%
  skimr::skim()
Data summary
Name Piped data
Number of rows 2063024
Number of columns 8
_______________________
Column type frequency:
character 3
Date 1
numeric 4
________________________
Group variables None

Variable type: character

skim_variable n_missing complete_rate min max empty n_unique whitespace
id 0 1 19 36 0 786 0
dow 0 1 6 9 0 7 0
data_type 0 1 4 4 0 1 0

Variable type: Date

skim_variable n_missing complete_rate min max median n_unique
date 0 1 2024-01-06 2025-03-04 2024-05-17 358

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
hour 0 1 10.55 7.05 0.00 4.00 10.00 16.00 22.00 ▇▅▅▅▇
month 0 1 4.89 2.75 1.00 2.00 5.00 7.00 12.00 ▇▅▅▃▁
lat 0 1 38.91 0.06 38.77 38.88 38.90 38.93 39.13 ▂▇▅▁▁
lon 0 1 -77.07 0.10 -77.37 -77.09 -77.04 -77.01 -76.83 ▁▁▆▇▁

Quantitative analyses

Overall model performance against the model evaluation data.

Code
# Explicitly define packages used for model metrics by vetiver so that Connect 
# is able to redeploy.
library(slider)

latest_metrics %>%
  kable() %>%
  kable_material()
.index .n .metric .estimator .estimate
2024-01-06 3725 rmse standard 4.0421293
2024-01-06 3725 rsq standard 0.4444817
2024-01-06 3725 mae standard 3.1719924
2024-01-07 4470 rmse standard 4.3571616
2024-01-07 4470 rsq standard 0.2898621
2024-01-07 4470 mae standard 3.3660068
2024-01-08 5960 rmse standard 4.2283060
2024-01-08 5960 rsq standard 0.3858487
2024-01-08 5960 mae standard 3.2795781
2024-01-09 9687 rmse standard 3.9992114
2024-01-09 9687 rsq standard 0.3984574
2024-01-09 9687 mae standard 3.0902359
2024-01-10 8954 rmse standard 4.1843352
2024-01-10 8954 rsq standard 0.4220338
2024-01-10 8954 mae standard 3.2478769
2024-01-11 8967 rmse standard 4.1850288
2024-01-11 8967 rsq standard 0.4410598
2024-01-11 8967 mae standard 3.3092423
2024-01-12 8976 rmse standard 4.1469750
2024-01-12 8976 rsq standard 0.4281198
2024-01-12 8976 mae standard 3.2293077
2024-01-13 9724 rmse standard 4.2993782
2024-01-13 9724 rsq standard 0.4481910
2024-01-13 9724 mae standard 3.3678404
2024-01-14 9724 rmse standard 4.3190561
2024-01-14 9724 rsq standard 0.4497879
2024-01-14 9724 mae standard 3.3953927
2024-01-15 9724 rmse standard 4.4221972
2024-01-15 9724 rsq standard 0.4029738
2024-01-15 9724 mae standard 3.4603261
2024-01-16 9724 rmse standard 4.3737718
2024-01-16 9724 rsq standard 0.3920245
2024-01-16 9724 mae standard 3.3889351
2024-01-17 8976 rmse standard 4.4062223
2024-01-17 8976 rsq standard 0.4210841
2024-01-17 8976 mae standard 3.4043910
2024-01-18 8976 rmse standard 4.3530257
2024-01-18 8976 rsq standard 0.4159171
2024-01-18 8976 mae standard 3.4030876
2024-01-19 9724 rmse standard 4.3386496
2024-01-19 9724 rsq standard 0.3541648
2024-01-19 9724 mae standard 3.3692964
2024-01-20 9724 rmse standard 4.3047934
2024-01-20 9724 rsq standard 0.3457832
2024-01-20 9724 mae standard 3.3597680
2024-01-21 8976 rmse standard 4.3920782
2024-01-21 8976 rsq standard 0.2622177
2024-01-21 8976 mae standard 3.4534649
2024-01-22 9724 rmse standard 4.2699045
2024-01-22 9724 rsq standard 0.2919331
2024-01-22 9724 mae standard 3.3875238
2024-01-23 9724 rmse standard 4.2963210
2024-01-23 9724 rsq standard 0.3378376
2024-01-23 9724 mae standard 3.3715541
2024-01-24 8976 rmse standard 4.3308087
2024-01-24 8976 rsq standard 0.3822023
2024-01-24 8976 mae standard 3.4286773
2024-01-25 9724 rmse standard 4.2887160
2024-01-25 9724 rsq standard 0.3615013
2024-01-25 9724 mae standard 3.4138245
2024-01-26 8976 rmse standard 4.2560201
2024-01-26 8976 rsq standard 0.3598437
2024-01-26 8976 mae standard 3.3424930
2024-01-27 8976 rmse standard 4.4412822
2024-01-27 8976 rsq standard 0.3663505
2024-01-27 8976 mae standard 3.4575697
2024-01-28 9724 rmse standard 4.4124079
2024-01-28 9724 rsq standard 0.4245207
2024-01-28 9724 mae standard 3.4877764
2024-01-29 8228 rmse standard 4.5709576
2024-01-29 8228 rsq standard 0.4648845
2024-01-29 8228 mae standard 3.6468314
2024-01-30 8976 rmse standard 4.4498875
2024-01-30 8976 rsq standard 0.5124150
2024-01-30 8976 mae standard 3.5194255
2024-01-31 8976 rmse standard 4.4877249
2024-01-31 8976 rsq standard 0.5175683
2024-01-31 8976 mae standard 3.5284063
2024-02-01 9723 rmse standard 4.4975832
2024-02-01 9723 rsq standard 0.5241371
2024-02-01 9723 mae standard 3.5326811
2024-02-02 8964 rmse standard 4.3016078
2024-02-02 8964 rsq standard 0.4940546
2024-02-02 8964 mae standard 3.4096831
2024-02-03 8964 rmse standard 4.5740142
2024-02-03 8964 rsq standard 0.5145012
2024-02-03 8964 mae standard 3.5882555
2024-02-04 9711 rmse standard 4.5697801
2024-02-04 9711 rsq standard 0.5310186
2024-02-04 9711 mae standard 3.5869322
2024-02-05 1494 rmse standard 4.6317281
2024-02-05 1494 rsq standard 0.4469185
2024-02-05 1494 mae standard 3.6192569
2024-02-06 2988 rmse standard 4.3982141
2024-02-06 2988 rsq standard 0.5772403
2024-02-06 2988 mae standard 3.5171569
2024-02-07 8964 rmse standard 4.4242968
2024-02-07 8964 rsq standard 0.4968981
2024-02-07 8964 mae standard 3.5082095
2024-02-08 9711 rmse standard 4.5715030
2024-02-08 9711 rsq standard 0.4411362
2024-02-08 9711 mae standard 3.6058934
2024-02-09 8964 rmse standard 4.1501271
2024-02-09 8964 rsq standard 0.4615428
2024-02-09 8964 mae standard 3.2911407
2024-02-10 9711 rmse standard 4.3606514
2024-02-10 9711 rsq standard 0.4334961
2024-02-10 9711 mae standard 3.4630638
2024-02-11 8217 rmse standard 4.3769478
2024-02-11 8217 rsq standard 0.4408272
2024-02-11 8217 mae standard 3.5570306
2024-02-12 9711 rmse standard 4.5181727
2024-02-12 9711 rsq standard 0.4502179
2024-02-12 9711 mae standard 3.6486960
2024-02-13 8964 rmse standard 4.4813019
2024-02-13 8964 rsq standard 0.4183308
2024-02-13 8964 mae standard 3.4977309
2024-02-14 9711 rmse standard 4.5986661
2024-02-14 9711 rsq standard 0.3695611
2024-02-14 9711 mae standard 3.6521761
2024-02-15 9711 rmse standard 4.6066236
2024-02-15 9711 rsq standard 0.3446568
2024-02-15 9711 mae standard 3.6331665
2024-02-16 9715 rmse standard 4.5413131
2024-02-16 9715 rsq standard 0.3296208
2024-02-16 9715 mae standard 3.5607838
2024-02-17 9724 rmse standard 4.6532993
2024-02-17 9724 rsq standard 0.3265388
2024-02-17 9724 mae standard 3.7106110
2024-02-18 8976 rmse standard 4.5493234
2024-02-18 8976 rsq standard 0.3433697
2024-02-18 8976 mae standard 3.6402819
2024-02-19 9724 rmse standard 4.4911794
2024-02-19 9724 rsq standard 0.3498822
2024-02-19 9724 mae standard 3.5422804
2024-02-20 9724 rmse standard 4.5351846
2024-02-20 9724 rsq standard 0.3781449
2024-02-20 9724 mae standard 3.5812737
2024-02-21 9724 rmse standard 4.5148460
2024-02-21 9724 rsq standard 0.3814875
2024-02-21 9724 mae standard 3.5975361
2024-02-22 8228 rmse standard 4.6472113
2024-02-22 8228 rsq standard 0.3734078
2024-02-22 8228 mae standard 3.6884405
2024-02-23 8240 rmse standard 4.6270016
2024-02-23 8240 rsq standard 0.3293195
2024-02-23 8240 mae standard 3.6475592
2024-02-24 9763 rmse standard 4.6839632
2024-02-24 9763 rsq standard 0.2864134
2024-02-24 9763 mae standard 3.7336084
2024-02-25 9763 rmse standard 4.5146483
2024-02-25 9763 rsq standard 0.3294178
2024-02-25 9763 mae standard 3.6034680
2024-02-26 9012 rmse standard 4.6520436
2024-02-26 9012 rsq standard 0.3691238
2024-02-26 9012 mae standard 3.6807800
2024-02-27 8261 rmse standard 4.7194513
2024-02-27 8261 rsq standard 0.4021648
2024-02-27 8261 mae standard 3.7707877
2024-02-28 9763 rmse standard 4.4331303
2024-02-28 9763 rsq standard 0.4275197
2024-02-28 9763 mae standard 3.5378432
2024-02-29 7510 rmse standard 4.7633941
2024-02-29 7510 rsq standard 0.3554041
2024-02-29 7510 mae standard 3.7451217
2024-03-01 751 rmse standard 4.4992986
2024-03-01 751 rsq standard 0.4428972
2024-03-01 751 mae standard 3.6165624
2024-03-02 2253 rmse standard 4.5209014
2024-03-02 2253 rsq standard 0.3640450
2024-03-02 2253 mae standard 3.6042287
2024-03-04 751 rmse standard 4.6685151
2024-03-04 751 rsq standard 0.3787096
2024-03-04 751 mae standard 3.7865290
2024-03-05 8261 rmse standard 4.7084606
2024-03-05 8261 rsq standard 0.3297265
2024-03-05 8261 mae standard 3.7222578
2024-03-06 9763 rmse standard 4.9142390
2024-03-06 9763 rsq standard 0.3128537
2024-03-06 9763 mae standard 3.9411301
2024-03-07 9763 rmse standard 4.7774633
2024-03-07 9763 rsq standard 0.3297319
2024-03-07 9763 mae standard 3.8264730
2024-03-08 9763 rmse standard 4.6899439
2024-03-08 9763 rsq standard 0.2955983
2024-03-08 9763 mae standard 3.7421536
2024-03-09 9763 rmse standard 4.8320713
2024-03-09 9763 rsq standard 0.2896331
2024-03-09 9763 mae standard 3.9042930
2024-03-10 9763 rmse standard 4.8211015
2024-03-10 9763 rsq standard 0.2910406
2024-03-10 9763 mae standard 3.8868571
2024-03-11 9012 rmse standard 4.6822082
2024-03-11 9012 rsq standard 0.2970014
2024-03-11 9012 mae standard 3.7541919
2024-03-12 9015 rmse standard 4.8584145
2024-03-12 9015 rsq standard 0.2455109
2024-03-12 9015 mae standard 3.9109100
2024-03-13 8272 rmse standard 4.8187904
2024-03-13 8272 rsq standard 0.2655637
2024-03-13 8272 mae standard 3.8490805
2024-03-14 9024 rmse standard 4.9238623
2024-03-14 9024 rsq standard 0.2665749
2024-03-14 9024 mae standard 3.9121432
2024-03-15 9776 rmse standard 4.9889788
2024-03-15 9776 rsq standard 0.2545324
2024-03-15 9776 mae standard 3.9691404
2024-03-16 9024 rmse standard 4.8377661
2024-03-16 9024 rsq standard 0.3052015
2024-03-16 9024 mae standard 3.9162096
2024-03-17 9024 rmse standard 4.8037054
2024-03-17 9024 rsq standard 0.3231268
2024-03-17 9024 mae standard 3.8664612
2024-03-18 9024 rmse standard 4.8400816
2024-03-18 9024 rsq standard 0.3548785
2024-03-18 9024 mae standard 3.8596421
2024-03-19 9024 rmse standard 4.7833483
2024-03-19 9024 rsq standard 0.4133704
2024-03-19 9024 mae standard 3.8451342
2024-03-20 9028 rmse standard 4.7765472
2024-03-20 9028 rsq standard 0.3724457
2024-03-20 9028 mae standard 3.8462956
2024-03-21 9040 rmse standard 4.7257227
2024-03-21 9040 rsq standard 0.3564592
2024-03-21 9040 mae standard 3.7589739
2024-03-22 9048 rmse standard 4.7902066
2024-03-22 9048 rsq standard 0.3401743
2024-03-22 9048 mae standard 3.8045579
2024-03-23 9048 rmse standard 4.6771620
2024-03-23 9048 rsq standard 0.3071441
2024-03-23 9048 mae standard 3.7060619
2024-03-24 9048 rmse standard 4.7940184
2024-03-24 9048 rsq standard 0.2148214
2024-03-24 9048 mae standard 3.8451883
2024-03-25 9048 rmse standard 4.7714106
2024-03-25 9048 rsq standard 0.2144998
2024-03-25 9048 mae standard 3.8196160
2024-03-26 8297 rmse standard 4.8503497
2024-03-26 8297 rsq standard 0.2418300
2024-03-26 8297 mae standard 3.8670007
2024-03-27 9066 rmse standard 4.7860769
2024-03-27 9066 rsq standard 0.2401550
2024-03-27 9066 mae standard 3.7972052
2024-03-28 9087 rmse standard 4.8285370
2024-03-28 9087 rsq standard 0.1880788
2024-03-28 9087 mae standard 3.7898586
2024-03-29 9096 rmse standard 5.2353559
2024-03-29 9096 rsq standard 0.1046063
2024-03-29 9096 mae standard 4.0794758
2024-03-30 9096 rmse standard 4.9062228
2024-03-30 9096 rsq standard 0.1429158
2024-03-30 9096 mae standard 3.8611357
2024-03-31 9096 rmse standard 4.9091159
2024-03-31 9096 rsq standard 0.1374886
2024-03-31 9096 mae standard 3.8441802
2024-04-01 9854 rmse standard 4.7412223
2024-04-01 9854 rsq standard 0.1427793
2024-04-01 9854 mae standard 3.7510995
2024-04-02 9094 rmse standard 5.0973642
2024-04-02 9094 rsq standard 0.0980604
2024-04-02 9094 mae standard 4.0362080
2024-04-03 9101 rmse standard 5.4190411
2024-04-03 9101 rsq standard 0.0343530
2024-04-03 9101 mae standard 4.2753663
2024-04-04 9111 rmse standard 5.3882745
2024-04-04 9111 rsq standard 0.0354310
2024-04-04 9111 mae standard 4.1879386
2024-04-05 9120 rmse standard 5.3576648
2024-04-05 9120 rsq standard 0.0595075
2024-04-05 9120 mae standard 4.1405784
2024-04-06 9880 rmse standard 5.0673595
2024-04-06 9880 rsq standard 0.0725119
2024-04-06 9880 mae standard 3.9489888
2024-04-07 9880 rmse standard 4.8337453
2024-04-07 9880 rsq standard 0.1258335
2024-04-07 9880 mae standard 3.8375592
2024-04-08 9120 rmse standard 4.6111751
2024-04-08 9120 rsq standard 0.2147859
2024-04-08 9120 mae standard 3.6636098
2024-04-09 9125 rmse standard 4.6250291
2024-04-09 9125 rsq standard 0.2280992
2024-04-09 9125 mae standard 3.6614181
2024-04-10 9136 rmse standard 4.8712070
2024-04-10 9136 rsq standard 0.1849169
2024-04-10 9136 mae standard 3.8350195
2024-04-15 763 rmse standard 4.9967863
2024-04-15 763 rsq standard 0.0551144
2024-04-15 763 mae standard 3.8167701
2024-04-16 764 rmse standard 4.5199068
2024-04-16 764 rsq standard 0.2736316
2024-04-16 764 mae standard 3.5768953
2024-04-17 1530 rmse standard 4.6234175
2024-04-17 1530 rsq standard 0.3828359
2024-04-17 1530 mae standard 3.7120119
2024-04-24 1534 rmse standard 4.7835559
2024-04-24 1534 rsq standard 0.3283040
2024-04-24 1534 mae standard 3.7817073
2024-04-25 3068 rmse standard 4.5063066
2024-04-25 3068 rsq standard 0.3468062
2024-04-25 3068 mae standard 3.5784069
2024-04-26 9204 rmse standard 4.7927018
2024-04-26 9204 rsq standard 0.2021466
2024-04-26 9204 mae standard 3.7404011
2024-04-27 9971 rmse standard 4.6898943
2024-04-27 9971 rsq standard 0.1837418
2024-04-27 9971 mae standard 3.7159247
2024-04-28 9204 rmse standard 4.8103896
2024-04-28 9204 rsq standard 0.1198914
2024-04-28 9204 mae standard 3.7899543
2024-04-29 9204 rmse standard 4.6568062
2024-04-29 9204 rsq standard 0.1935218
2024-04-29 9204 mae standard 3.7130393
2024-04-30 9974 rmse standard 4.9053868
2024-04-30 9974 rsq standard 0.1828967
2024-04-30 9974 mae standard 3.8689280
2024-05-01 9216 rmse standard 4.9047427
2024-05-01 9216 rsq standard 0.1969899
2024-05-01 9216 mae standard 3.8496203
2024-05-02 9216 rmse standard 4.8470658
2024-05-02 9216 rsq standard 0.1964286
2024-05-02 9216 mae standard 3.8623398
2024-05-03 9216 rmse standard 4.8311458
2024-05-03 9216 rsq standard 0.2209315
2024-05-03 9216 mae standard 3.8117055
2024-05-04 9216 rmse standard 4.7232882
2024-05-04 9216 rsq standard 0.1613825
2024-05-04 9216 mae standard 3.7472723
2024-05-05 9216 rmse standard 5.0486873
2024-05-05 9216 rsq standard 0.0700503
2024-05-05 9216 mae standard 3.9368045
2024-05-06 9216 rmse standard 4.9797710
2024-05-06 9216 rsq standard 0.0638098
2024-05-06 9216 mae standard 3.8377333
2024-05-07 9216 rmse standard 5.0297229
2024-05-07 9216 rsq standard 0.1066803
2024-05-07 9216 mae standard 3.8666133
2024-05-08 9984 rmse standard 5.0012546
2024-05-08 9984 rsq standard 0.1543429
2024-05-08 9984 mae standard 3.8934617
2024-05-09 9216 rmse standard 4.9845471
2024-05-09 9216 rsq standard 0.1492419
2024-05-09 9216 mae standard 3.9215794
2024-05-10 9216 rmse standard 5.0538943
2024-05-10 9216 rsq standard 0.1458032
2024-05-10 9216 mae standard 3.9279011
2024-05-11 8448 rmse standard 4.8989113
2024-05-11 8448 rsq standard 0.1521195
2024-05-11 8448 mae standard 3.8742808
2024-05-12 8448 rmse standard 4.8358417
2024-05-12 8448 rsq standard 0.1484869
2024-05-12 8448 mae standard 3.8506623
2024-05-13 9216 rmse standard 4.7537864
2024-05-13 9216 rsq standard 0.1970559
2024-05-13 9216 mae standard 3.8308682
2024-05-14 9216 rmse standard 4.8117336
2024-05-14 9216 rsq standard 0.2154739
2024-05-14 9216 mae standard 3.8561100
2024-05-15 9216 rmse standard 4.5661442
2024-05-15 9216 rsq standard 0.2450474
2024-05-15 9216 mae standard 3.6105384
2024-05-16 9216 rmse standard 4.8920661
2024-05-16 9216 rsq standard 0.1801786
2024-05-16 9216 mae standard 3.8844938
2024-05-17 9216 rmse standard 4.8998146
2024-05-17 9216 rsq standard 0.1916698
2024-05-17 9216 mae standard 3.8772430
2024-05-18 8448 rmse standard 4.8031471
2024-05-18 8448 rsq standard 0.1458914
2024-05-18 8448 mae standard 3.8115555
2024-05-19 9216 rmse standard 4.9144850
2024-05-19 9216 rsq standard 0.1028984
2024-05-19 9216 mae standard 3.9211572
2024-05-20 9216 rmse standard 4.7923904
2024-05-20 9216 rsq standard 0.1733079
2024-05-20 9216 mae standard 3.7703846
2024-05-21 9216 rmse standard 4.8790131
2024-05-21 9216 rsq standard 0.2289137
2024-05-21 9216 mae standard 3.8518664
2024-05-22 9216 rmse standard 4.8440713
2024-05-22 9216 rsq standard 0.2574001
2024-05-22 9216 mae standard 3.8713829
2024-05-23 9216 rmse standard 4.7567299
2024-05-23 9216 rsq standard 0.2692629
2024-05-23 9216 mae standard 3.8000919
2024-05-24 9216 rmse standard 4.7621830
2024-05-24 9216 rsq standard 0.2746646
2024-05-24 9216 mae standard 3.8184384
2024-05-25 9984 rmse standard 4.7957069
2024-05-25 9984 rsq standard 0.2654809
2024-05-25 9984 mae standard 3.8299068
2024-05-26 9216 rmse standard 4.7574474
2024-05-26 9216 rsq standard 0.2683795
2024-05-26 9216 mae standard 3.8550388
2024-05-27 9216 rmse standard 4.7906103
2024-05-27 9216 rsq standard 0.2181841
2024-05-27 9216 mae standard 3.8194310
2024-05-28 9216 rmse standard 4.7130236
2024-05-28 9216 rsq standard 0.2971990
2024-05-28 9216 mae standard 3.7275779
2024-05-29 9220 rmse standard 4.7932406
2024-05-29 9220 rsq standard 0.3295670
2024-05-29 9220 mae standard 3.8331819
2024-05-30 9228 rmse standard 4.8371015
2024-05-30 9228 rsq standard 0.2963546
2024-05-30 9228 mae standard 3.8613804
2024-05-31 9228 rmse standard 4.8236242
2024-05-31 9228 rsq standard 0.2613960
2024-05-31 9228 mae standard 3.7977677
2024-06-01 7690 rmse standard 4.6470007
2024-06-01 7690 rsq standard 0.2542758
2024-06-01 7690 mae standard 3.7433277
2024-06-02 769 rmse standard 4.7383226
2024-06-02 769 rsq standard 0.2113499
2024-06-02 769 mae standard 3.7468755
2024-06-03 3845 rmse standard 4.8465815
2024-06-03 3845 rsq standard 0.3156008
2024-06-03 3845 mae standard 3.8593969
2024-06-04 9228 rmse standard 4.8927794
2024-06-04 9228 rsq standard 0.2515520
2024-06-04 9228 mae standard 3.8592970
2024-06-05 9228 rmse standard 4.8851870
2024-06-05 9228 rsq standard 0.2910047
2024-06-05 9228 mae standard 3.8726697
2024-06-06 9228 rmse standard 4.7914669
2024-06-06 9228 rsq standard 0.3058327
2024-06-06 9228 mae standard 3.8221478
2024-06-07 9228 rmse standard 4.7482374
2024-06-07 9228 rsq standard 0.2744978
2024-06-07 9228 mae standard 3.7313208
2024-06-08 9228 rmse standard 4.9803514
2024-06-08 9228 rsq standard 0.2685971
2024-06-08 9228 mae standard 3.9676418
2024-06-09 9228 rmse standard 5.0549712
2024-06-09 9228 rsq standard 0.1858218
2024-06-09 9228 mae standard 4.0086678
2024-06-10 9228 rmse standard 4.9748035
2024-06-10 9228 rsq standard 0.2651072
2024-06-10 9228 mae standard 3.9015257
2024-06-11 3077 rmse standard 4.7612923
2024-06-11 3077 rsq standard 0.2550584
2024-06-11 3077 mae standard 3.7714806
2024-06-12 9244 rmse standard 4.8553750
2024-06-12 9244 rsq standard 0.3181513
2024-06-12 9244 mae standard 3.9034264
2024-06-13 7713 rmse standard 4.8847874
2024-06-13 7713 rsq standard 0.2693874
2024-06-13 7713 mae standard 3.9347026
2024-06-14 9264 rmse standard 4.7702532
2024-06-14 9264 rsq standard 0.2787990
2024-06-14 9264 mae standard 3.8528869
2024-06-15 8492 rmse standard 4.7718267
2024-06-15 8492 rsq standard 0.2587349
2024-06-15 8492 mae standard 3.9141121
2024-06-16 9264 rmse standard 4.6956272
2024-06-16 9264 rsq standard 0.2903639
2024-06-16 9264 mae standard 3.8851030
2024-06-17 10036 rmse standard 4.8987781
2024-06-17 10036 rsq standard 0.2793440
2024-06-17 10036 mae standard 3.9966774
2024-06-18 9268 rmse standard 4.7634296
2024-06-18 9268 rsq standard 0.3245978
2024-06-18 9268 mae standard 3.8744684
2024-06-19 8503 rmse standard 4.9421642
2024-06-19 8503 rsq standard 0.2265328
2024-06-19 8503 mae standard 3.9695327
2024-06-20 9276 rmse standard 4.6561102
2024-06-20 9276 rsq standard 0.3395387
2024-06-20 9276 mae standard 3.7919493
2024-06-21 9276 rmse standard 4.7616184
2024-06-21 9276 rsq standard 0.2919348
2024-06-21 9276 mae standard 3.8427703
2024-06-22 9276 rmse standard 4.6715146
2024-06-22 9276 rsq standard 0.2721047
2024-06-22 9276 mae standard 3.8026540
2024-06-23 9276 rmse standard 4.7846328
2024-06-23 9276 rsq standard 0.2874683
2024-06-23 9276 mae standard 3.8583601
2024-06-24 9276 rmse standard 4.8864196
2024-06-24 9276 rsq standard 0.2678878
2024-06-24 9276 mae standard 3.8906533
2024-06-25 9272 rmse standard 5.0357581
2024-06-25 9272 rsq standard 0.2469833
2024-06-25 9272 mae standard 4.0231591
2024-06-26 9265 rmse standard 4.8430469
2024-06-26 9265 rsq standard 0.2882538
2024-06-26 9265 mae standard 3.8809314
2024-06-27 9276 rmse standard 4.8294356
2024-06-27 9276 rsq standard 0.3015008
2024-06-27 9276 mae standard 3.8837663
2024-06-28 9276 rmse standard 4.7947235
2024-06-28 9276 rsq standard 0.2992571
2024-06-28 9276 mae standard 3.8153333
2024-06-29 9276 rmse standard 4.6600900
2024-06-29 9276 rsq standard 0.2536057
2024-06-29 9276 mae standard 3.7287164
2024-06-30 9276 rmse standard 4.6796133
2024-06-30 9276 rsq standard 0.2404286
2024-06-30 9276 mae standard 3.7480253
2024-07-01 9276 rmse standard 4.7173401
2024-07-01 9276 rsq standard 0.2567201
2024-07-01 9276 mae standard 3.7451808
2024-07-02 9276 rmse standard 4.8966894
2024-07-02 9276 rsq standard 0.2512690
2024-07-02 9276 mae standard 3.8379716
2024-07-03 8503 rmse standard 4.7528816
2024-07-03 8503 rsq standard 0.2675521
2024-07-03 8503 mae standard 3.7490452
2024-07-04 9276 rmse standard 5.0039280
2024-07-04 9276 rsq standard 0.2063884
2024-07-04 9276 mae standard 3.9230380
2024-07-05 9276 rmse standard 5.2318385
2024-07-05 9276 rsq standard 0.1704455
2024-07-05 9276 mae standard 4.0485179
2024-07-06 9276 rmse standard 4.8006781
2024-07-06 9276 rsq standard 0.2123792
2024-07-06 9276 mae standard 3.8276655
2024-07-07 9276 rmse standard 4.8111769
2024-07-07 9276 rsq standard 0.2359834
2024-07-07 9276 mae standard 3.8385176
2024-07-08 8478 rmse standard 4.8514986
2024-07-08 8478 rsq standard 0.2282431
2024-07-08 8478 mae standard 3.8369466
2024-07-09 9216 rmse standard 4.8585086
2024-07-09 9216 rsq standard 0.2464908
2024-07-09 9216 mae standard 3.8464511
2024-07-10 8448 rmse standard 4.7950103
2024-07-10 8448 rsq standard 0.2733790
2024-07-10 8448 mae standard 3.8442158
2024-07-11 9216 rmse standard 4.8958666
2024-07-11 9216 rsq standard 0.2671452
2024-07-11 9216 mae standard 3.9493963
2024-07-12 9216 rmse standard 4.8155030
2024-07-12 9216 rsq standard 0.2545007
2024-07-12 9216 mae standard 3.8319105
2024-07-13 5376 rmse standard 4.8195931
2024-07-13 5376 rsq standard 0.2022440
2024-07-13 5376 mae standard 3.8398139
2024-07-16 1546 rmse standard 4.9205248
2024-07-16 1546 rsq standard 0.2384161
2024-07-16 1546 mae standard 3.9057943
2024-07-17 6957 rmse standard 5.1315777
2024-07-17 6957 rsq standard 0.1980215
2024-07-17 6957 mae standard 4.1067083
2024-07-18 2319 rmse standard 4.9120752
2024-07-18 2319 rsq standard 0.2476359
2024-07-18 2319 mae standard 3.9317520
2024-07-19 1546 rmse standard 5.2924568
2024-07-19 1546 rsq standard 0.1630035
2024-07-19 1546 mae standard 4.1554231
2024-07-20 3088 rmse standard 4.8789735
2024-07-20 3088 rsq standard 0.1991629
2024-07-20 3088 mae standard 3.8951145
2024-07-21 1544 rmse standard 4.9027520
2024-07-21 1544 rsq standard 0.1952760
2024-07-21 1544 mae standard 3.9495757
2024-07-22 1544 rmse standard 4.9049055
2024-07-22 1544 rsq standard 0.2578291
2024-07-22 1544 mae standard 3.9624001
2024-07-24 3090 rmse standard 5.0262089
2024-07-24 3090 rsq standard 0.2929113
2024-07-24 3090 mae standard 4.0103987
2024-07-25 1546 rmse standard 5.2471985
2024-07-25 1546 rsq standard 0.1108434
2024-07-25 1546 mae standard 4.1781975
2024-07-26 3865 rmse standard 4.9854112
2024-07-26 3865 rsq standard 0.1686694
2024-07-26 3865 mae standard 3.9127673
2024-07-28 3092 rmse standard 4.6574116
2024-07-28 3092 rsq standard 0.2579903
2024-07-28 3092 mae standard 3.7389463
2024-07-29 1546 rmse standard 4.8763688
2024-07-29 1546 rsq standard 0.1988621
2024-07-29 1546 mae standard 3.8222480
2024-07-30 3865 rmse standard 4.6602373
2024-07-30 3865 rsq standard 0.3717318
2024-07-30 3865 mae standard 3.6902902
2024-07-31 9276 rmse standard 4.7076891
2024-07-31 9276 rsq standard 0.3109689
2024-07-31 9276 mae standard 3.7116055
2024-08-01 9276 rmse standard 4.7070696
2024-08-01 9276 rsq standard 0.3066887
2024-08-01 9276 mae standard 3.7527496
2024-08-02 9276 rmse standard 4.7151101
2024-08-02 9276 rsq standard 0.2907811
2024-08-02 9276 mae standard 3.6878464
2024-08-03 9276 rmse standard 4.6322583
2024-08-03 9276 rsq standard 0.2475036
2024-08-03 9276 mae standard 3.7074902
2024-08-04 9276 rmse standard 4.6424845
2024-08-04 9276 rsq standard 0.2298711
2024-08-04 9276 mae standard 3.6736022
2024-08-05 9276 rmse standard 4.5909700
2024-08-05 9276 rsq standard 0.3078716
2024-08-05 9276 mae standard 3.6355597
2024-08-06 9276 rmse standard 4.7250298
2024-08-06 9276 rsq standard 0.3111540
2024-08-06 9276 mae standard 3.7873959
2024-08-07 9276 rmse standard 4.9186018
2024-08-07 9276 rsq standard 0.2737442
2024-08-07 9276 mae standard 3.9186881
2024-08-08 6184 rmse standard 4.9593237
2024-08-08 6184 rsq standard 0.1848389
2024-08-08 6184 mae standard 3.9291739
2024-08-13 1546 rmse standard 5.0574306
2024-08-13 1546 rsq standard 0.1308912
2024-08-13 1546 mae standard 3.9227675
2024-08-16 3088 rmse standard 4.7678981
2024-08-16 3088 rsq standard 0.2713385
2024-08-16 3088 mae standard 3.7559012
2024-08-17 8492 rmse standard 4.7662027
2024-08-17 8492 rsq standard 0.2283718
2024-08-17 8492 mae standard 3.8120116
2024-08-20 2316 rmse standard 4.7682124
2024-08-20 2316 rsq standard 0.3067829
2024-08-20 2316 mae standard 3.7275453
2024-08-21 9264 rmse standard 4.8164486
2024-08-21 9264 rsq standard 0.2377280
2024-08-21 9264 mae standard 3.8075871
2024-08-22 8492 rmse standard 4.8606330
2024-08-22 8492 rsq standard 0.2102057
2024-08-22 8492 mae standard 3.8351438
2024-08-23 9264 rmse standard 4.8452543
2024-08-23 9264 rsq standard 0.2148126
2024-08-23 9264 mae standard 3.7863131
2024-08-24 9264 rmse standard 4.7133170
2024-08-24 9264 rsq standard 0.2008240
2024-08-24 9264 mae standard 3.7045593
2024-08-25 9264 rmse standard 4.8642998
2024-08-25 9264 rsq standard 0.1809754
2024-08-25 9264 mae standard 3.8254126
2024-08-26 8492 rmse standard 4.9092328
2024-08-26 8492 rsq standard 0.1858903
2024-08-26 8492 mae standard 3.8133631
2024-08-27 9264 rmse standard 5.0843131
2024-08-27 9264 rsq standard 0.1878609
2024-08-27 9264 mae standard 3.9380545
2024-08-28 9264 rmse standard 5.0266330
2024-08-28 9264 rsq standard 0.2013519
2024-08-28 9264 mae standard 3.9655553
2024-08-29 9264 rmse standard 4.9872764
2024-08-29 9264 rsq standard 0.2077801
2024-08-29 9264 mae standard 3.9049518
2024-08-30 9264 rmse standard 4.7505836
2024-08-30 9264 rsq standard 0.2290174
2024-08-30 9264 mae standard 3.7133063
2024-08-31 9264 rmse standard 4.9392789
2024-08-31 9264 rsq standard 0.1438278
2024-08-31 9264 mae standard 3.8958510
2024-09-01 9264 rmse standard 4.9139405
2024-09-01 9264 rsq standard 0.1494670
2024-09-01 9264 mae standard 3.8980588
2024-09-02 9264 rmse standard 4.9823015
2024-09-02 9264 rsq standard 0.1337806
2024-09-02 9264 mae standard 3.9277127
2024-09-03 9264 rmse standard 4.9130475
2024-09-03 9264 rsq standard 0.2144988
2024-09-03 9264 mae standard 3.8338309
2024-09-04 9264 rmse standard 5.0620638
2024-09-04 9264 rsq standard 0.2221777
2024-09-04 9264 mae standard 3.9986131
2024-09-05 9264 rmse standard 5.0342444
2024-09-05 9264 rsq standard 0.2168859
2024-09-05 9264 mae standard 4.0021388
2024-09-06 9264 rmse standard 5.0415012
2024-09-06 9264 rsq standard 0.1886846
2024-09-06 9264 mae standard 3.9361027
2024-09-07 9264 rmse standard 4.7942574
2024-09-07 9264 rsq standard 0.1894184
2024-09-07 9264 mae standard 3.8230755
2024-09-08 5404 rmse standard 4.9353478
2024-09-08 5404 rsq standard 0.1795805
2024-09-08 5404 mae standard 3.8371574
2024-09-09 772 rmse standard 5.2093391
2024-09-09 772 rsq standard 0.3279886
2024-09-09 772 mae standard 4.1368759
2024-09-10 772 rmse standard 4.7366752
2024-09-10 772 rsq standard 0.4564895
2024-09-10 772 mae standard 3.7510952
2024-09-11 3088 rmse standard 5.0676175
2024-09-11 3088 rsq standard 0.3281328
2024-09-11 3088 mae standard 3.9679241
2024-09-12 8481 rmse standard 5.0818959
2024-09-12 8481 rsq standard 0.2272590
2024-09-12 8481 mae standard 4.0443657
2024-09-13 9228 rmse standard 5.0137961
2024-09-13 9228 rsq standard 0.2292848
2024-09-13 9228 mae standard 3.9933411
2024-09-14 8459 rmse standard 4.8453560
2024-09-14 8459 rsq standard 0.2431995
2024-09-14 8459 mae standard 3.8702641
2024-09-15 9228 rmse standard 4.7699091
2024-09-15 9228 rsq standard 0.2973011
2024-09-15 9228 mae standard 3.7592791
2024-09-16 9228 rmse standard 4.9145978
2024-09-16 9228 rsq standard 0.2885515
2024-09-16 9228 mae standard 3.8970324
2024-09-17 9225 rmse standard 4.8946737
2024-09-17 9225 rsq standard 0.3773493
2024-09-17 9225 mae standard 3.8846121
2024-09-18 8451 rmse standard 4.7788602
2024-09-18 8451 rsq standard 0.3310572
2024-09-18 8451 mae standard 3.7702962
2024-09-19 9228 rmse standard 5.1340689
2024-09-19 9228 rsq standard 0.2155015
2024-09-19 9228 mae standard 4.0296108
2024-09-20 9228 rmse standard 5.0228196
2024-09-20 9228 rsq standard 0.2216857
2024-09-20 9228 mae standard 3.9010713
2024-09-21 9228 rmse standard 4.8873952
2024-09-21 9228 rsq standard 0.2081522
2024-09-21 9228 mae standard 3.8724369
2024-09-24 1541 rmse standard 4.9315224
2024-09-24 1541 rsq standard 0.3014956
2024-09-24 1541 mae standard 3.9205092
2024-09-26 771 rmse standard 5.4604063
2024-09-26 771 rsq standard 0.0776400
2024-09-26 771 mae standard 4.3040929
2024-09-27 2316 rmse standard 5.7820606
2024-09-27 2316 rsq standard 0.0523196
2024-09-27 2316 mae standard 4.5010932
2024-09-28 773 rmse standard 5.5147060
2024-09-28 773 rsq standard 0.0407945
2024-09-28 773 mae standard 4.3513611
2024-09-29 773 rmse standard 4.8651238
2024-09-29 773 rsq standard 0.1357495
2024-09-29 773 mae standard 3.8434633
2024-09-30 1546 rmse standard 5.3119521
2024-09-30 1546 rsq standard 0.0713405
2024-09-30 1546 mae standard 4.0351252
2024-10-01 6184 rmse standard 5.2070689
2024-10-01 6184 rsq standard 0.1010460
2024-10-01 6184 mae standard 4.0257765
2024-10-03 775 rmse standard 4.5919349
2024-10-03 775 rsq standard 0.2715485
2024-10-03 775 mae standard 3.5736724
2024-10-04 1550 rmse standard 4.7946242
2024-10-04 1550 rsq standard 0.2548153
2024-10-04 1550 mae standard 3.6544792
2024-10-05 8525 rmse standard 4.9089705
2024-10-05 8525 rsq standard 0.2054044
2024-10-05 8525 mae standard 3.7985757
2024-10-06 9300 rmse standard 4.7329678
2024-10-06 9300 rsq standard 0.2363011
2024-10-06 9300 mae standard 3.6666722
2024-10-07 9300 rmse standard 4.5953105
2024-10-07 9300 rsq standard 0.3552064
2024-10-07 9300 mae standard 3.5731300
2024-10-08 3100 rmse standard 4.8762207
2024-10-08 3100 rsq standard 0.4317238
2024-10-08 3100 mae standard 3.8333812
2024-10-10 1551 rmse standard 4.6446628
2024-10-10 1551 rsq standard 0.5151028
2024-10-10 1551 mae standard 3.6309834
2024-10-22 778 rmse standard 4.7025775
2024-10-22 778 rsq standard 0.5318980
2024-10-22 778 mae standard 3.8326372
2024-11-19 780 rmse standard 4.7937081
2024-11-19 780 rsq standard 0.4563593
2024-11-19 780 mae standard 3.7598887
2024-11-20 780 rmse standard 4.9308089
2024-11-20 780 rsq standard 0.1968089
2024-11-20 780 mae standard 3.9074658
2024-11-21 781 rmse standard 4.8417357
2024-11-21 781 rsq standard 0.2329805
2024-11-21 781 mae standard 3.8321146
2024-11-22 781 rmse standard 4.7639611
2024-11-22 781 rsq standard 0.2872334
2024-11-22 781 mae standard 3.7809822
2024-11-23 781 rmse standard 4.6920524
2024-11-23 781 rsq standard 0.2687640
2024-11-23 781 mae standard 3.6993484
2024-11-24 781 rmse standard 4.8337974
2024-11-24 781 rsq standard 0.2643007
2024-11-24 781 mae standard 3.8606793
2024-11-25 1562 rmse standard 4.7208787
2024-11-25 1562 rsq standard 0.2133895
2024-11-25 1562 mae standard 3.6832195
2024-11-26 781 rmse standard 4.6880578
2024-11-26 781 rsq standard 0.1641552
2024-11-26 781 mae standard 3.7070172
2024-11-27 781 rmse standard 4.9287512
2024-11-27 781 rsq standard 0.1239400
2024-11-27 781 mae standard 3.8713657
2024-11-28 781 rmse standard 4.5955825
2024-11-28 781 rsq standard 0.1491834
2024-11-28 781 mae standard 3.5936319
2024-11-29 781 rmse standard 5.1472168
2024-11-29 781 rsq standard 0.0706452
2024-11-29 781 mae standard 4.0291083
2024-11-30 781 rmse standard 4.9474327
2024-11-30 781 rsq standard 0.0559879
2024-11-30 781 mae standard 3.8402660
2024-12-01 781 rmse standard 5.1260436
2024-12-01 781 rsq standard 0.0396318
2024-12-01 781 mae standard 3.9998859
2024-12-02 781 rmse standard 5.0135440
2024-12-02 781 rsq standard 0.0420050
2024-12-02 781 mae standard 3.7890140
2024-12-03 781 rmse standard 4.9037976
2024-12-03 781 rsq standard 0.0829618
2024-12-03 781 mae standard 3.7861966
2024-12-04 781 rmse standard 4.8302540
2024-12-04 781 rsq standard 0.1239254
2024-12-04 781 mae standard 3.7505837
2024-12-05 781 rmse standard 4.4880895
2024-12-05 781 rsq standard 0.1567728
2024-12-05 781 mae standard 3.5482652
2024-12-06 782 rmse standard 4.5531256
2024-12-06 782 rsq standard 0.1982633
2024-12-06 782 mae standard 3.5499070
2024-12-07 782 rmse standard 4.4264476
2024-12-07 782 rsq standard 0.2370171
2024-12-07 782 mae standard 3.5144835
2024-12-08 782 rmse standard 4.5860405
2024-12-08 782 rsq standard 0.2436790
2024-12-08 782 mae standard 3.6438069
2024-12-09 782 rmse standard 4.6108462
2024-12-09 782 rsq standard 0.2096485
2024-12-09 782 mae standard 3.6360296
2024-12-10 782 rmse standard 4.7655379
2024-12-10 782 rsq standard 0.1431847
2024-12-10 782 mae standard 3.7420572
2024-12-11 782 rmse standard 4.6664512
2024-12-11 782 rsq standard 0.1901896
2024-12-11 782 mae standard 3.6410044
2024-12-12 782 rmse standard 4.7894301
2024-12-12 782 rsq standard 0.1391137
2024-12-12 782 mae standard 3.7039633
2024-12-13 783 rmse standard 4.8452903
2024-12-13 783 rsq standard 0.2185502
2024-12-13 783 mae standard 3.8018498
2024-12-14 783 rmse standard 4.6167020
2024-12-14 783 rsq standard 0.2523922
2024-12-14 783 mae standard 3.6778768
2024-12-15 783 rmse standard 4.7834063
2024-12-15 783 rsq standard 0.2903159
2024-12-15 783 mae standard 3.7671235
2024-12-16 783 rmse standard 4.6035125
2024-12-16 783 rsq standard 0.2462056
2024-12-16 783 mae standard 3.6783096
2024-12-17 783 rmse standard 4.6177046
2024-12-17 783 rsq standard 0.2218044
2024-12-17 783 mae standard 3.6822793
2024-12-18 784 rmse standard 4.5960696
2024-12-18 784 rsq standard 0.2384581
2024-12-18 784 mae standard 3.6470870
2024-12-19 784 rmse standard 4.5481640
2024-12-19 784 rsq standard 0.1804109
2024-12-19 784 mae standard 3.5400207
2024-12-20 784 rmse standard 4.5276785
2024-12-20 784 rsq standard 0.2861361
2024-12-20 784 mae standard 3.6026408
2024-12-21 784 rmse standard 4.7198707
2024-12-21 784 rsq standard 0.2319147
2024-12-21 784 mae standard 3.7473039
2024-12-22 784 rmse standard 4.8160714
2024-12-22 784 rsq standard 0.1770884
2024-12-22 784 mae standard 3.8267354
2024-12-23 784 rmse standard 4.6936769
2024-12-23 784 rsq standard 0.1707137
2024-12-23 784 mae standard 3.7867935
2024-12-24 784 rmse standard 4.7471552
2024-12-24 784 rsq standard 0.1705939
2024-12-24 784 mae standard 3.6501756
2024-12-25 784 rmse standard 4.7673549
2024-12-25 784 rsq standard 0.0952202
2024-12-25 784 mae standard 3.7063625
2024-12-26 784 rmse standard 4.6059037
2024-12-26 784 rsq standard 0.0979361
2024-12-26 784 mae standard 3.6539751
2024-12-27 784 rmse standard 4.8263203
2024-12-27 784 rsq standard 0.1068158
2024-12-27 784 mae standard 3.8160577
2024-12-28 784 rmse standard 4.5154085
2024-12-28 784 rsq standard 0.1344118
2024-12-28 784 mae standard 3.5413826
2024-12-29 784 rmse standard 4.8972951
2024-12-29 784 rsq standard 0.0534318
2024-12-29 784 mae standard 3.7567959
2024-12-30 784 rmse standard 4.9299755
2024-12-30 784 rsq standard 0.0667243
2024-12-30 784 mae standard 3.8054953
2024-12-31 784 rmse standard 4.7757014
2024-12-31 784 rsq standard 0.0937458
2024-12-31 784 mae standard 3.7497474
2025-01-01 784 rmse standard 4.6138326
2025-01-01 784 rsq standard 0.1242969
2025-01-01 784 mae standard 3.6677395
2025-01-02 784 rmse standard 4.5637793
2025-01-02 784 rsq standard 0.1722824
2025-01-02 784 mae standard 3.6648241
2025-01-03 784 rmse standard 4.7643191
2025-01-03 784 rsq standard 0.1785018
2025-01-03 784 mae standard 3.7690687
2025-01-04 784 rmse standard 4.5166194
2025-01-04 784 rsq standard 0.1623742
2025-01-04 784 mae standard 3.6325820
2025-01-05 784 rmse standard 4.4553699
2025-01-05 784 rsq standard 0.1460248
2025-01-05 784 mae standard 3.5220880
2025-01-06 784 rmse standard 4.5681382
2025-01-06 784 rsq standard 0.1345437
2025-01-06 784 mae standard 3.5907166
2025-01-07 783 rmse standard 4.6584178
2025-01-07 783 rsq standard 0.1198181
2025-01-07 783 mae standard 3.6483203
2025-01-08 783 rmse standard 4.5182214
2025-01-08 783 rsq standard 0.1452398
2025-01-08 783 mae standard 3.6187097
2025-01-09 783 rmse standard 4.6166265
2025-01-09 783 rsq standard 0.1349523
2025-01-09 783 mae standard 3.7176862
2025-01-10 783 rmse standard 4.8698850
2025-01-10 783 rsq standard 0.1116254
2025-01-10 783 mae standard 3.8672166
2025-01-11 784 rmse standard 4.8034104
2025-01-11 784 rsq standard 0.1225027
2025-01-11 784 mae standard 3.7984786
2025-01-12 784 rmse standard 4.8737869
2025-01-12 784 rsq standard 0.0667483
2025-01-12 784 mae standard 3.7867780
2025-01-13 784 rmse standard 4.5088675
2025-01-13 784 rsq standard 0.0863091
2025-01-13 784 mae standard 3.6140078
2025-01-14 783 rmse standard 4.7323516
2025-01-14 783 rsq standard 0.0697711
2025-01-14 783 mae standard 3.6624522
2025-01-15 783 rmse standard 4.8131573
2025-01-15 783 rsq standard 0.0884503
2025-01-15 783 mae standard 3.8108127
2025-01-16 782 rmse standard 5.2407891
2025-01-16 782 rsq standard 0.0746327
2025-01-16 782 mae standard 4.0573948
2025-01-17 766 rmse standard 5.1175461
2025-01-17 766 rsq standard 0.1294259
2025-01-17 766 mae standard 3.9590869
2025-01-18 766 rmse standard 4.7091456
2025-01-18 766 rsq standard 0.1596836
2025-01-18 766 mae standard 3.7740745
2025-01-19 762 rmse standard 4.9305939
2025-01-19 762 rsq standard 0.1442938
2025-01-19 762 mae standard 3.8053704
2025-01-20 759 rmse standard 4.7471820
2025-01-20 759 rsq standard 0.0906713
2025-01-20 759 mae standard 3.7652779
2025-01-21 758 rmse standard 4.6230460
2025-01-21 758 rsq standard 0.0812090
2025-01-21 758 mae standard 3.6926911
2025-01-22 757 rmse standard 4.7632815
2025-01-22 757 rsq standard 0.0961713
2025-01-22 757 mae standard 3.7832708
2025-01-23 782 rmse standard 4.9783127
2025-01-23 782 rsq standard 0.0430273
2025-01-23 782 mae standard 3.8802450
2025-01-24 782 rmse standard 4.9974920
2025-01-24 782 rsq standard 0.0668013
2025-01-24 782 mae standard 3.8693409
2025-01-25 782 rmse standard 4.5783897
2025-01-25 782 rsq standard 0.1035906
2025-01-25 782 mae standard 3.6197528
2025-01-26 783 rmse standard 4.9226716
2025-01-26 783 rsq standard 0.0717329
2025-01-26 783 mae standard 3.8768255
2025-01-27 783 rmse standard 4.7478193
2025-01-27 783 rsq standard 0.0893290
2025-01-27 783 mae standard 3.6571915
2025-01-28 783 rmse standard 4.9128877
2025-01-28 783 rsq standard 0.0780825
2025-01-28 783 mae standard 3.8301818
2025-01-29 783 rmse standard 4.8897141
2025-01-29 783 rsq standard 0.0990594
2025-01-29 783 mae standard 3.8106136
2025-01-30 783 rmse standard 4.7896695
2025-01-30 783 rsq standard 0.1532833
2025-01-30 783 mae standard 3.7572221
2025-01-31 785 rmse standard 4.8415575
2025-01-31 785 rsq standard 0.2110249
2025-01-31 785 mae standard 3.8460405
2025-02-01 785 rmse standard 4.7402030
2025-02-01 785 rsq standard 0.2167353
2025-02-01 785 mae standard 3.7194846
2025-02-02 785 rmse standard 4.5744757
2025-02-02 785 rsq standard 0.2438750
2025-02-02 785 mae standard 3.6424871
2025-02-03 785 rmse standard 4.7495392
2025-02-03 785 rsq standard 0.1959063
2025-02-03 785 mae standard 3.8115425
2025-02-04 785 rmse standard 4.5788313
2025-02-04 785 rsq standard 0.2030492
2025-02-04 785 mae standard 3.6202658
2025-02-05 785 rmse standard 4.7541295
2025-02-05 785 rsq standard 0.2594866
2025-02-05 785 mae standard 3.7527536
2025-02-06 784 rmse standard 4.6106805
2025-02-06 784 rsq standard 0.2964126
2025-02-06 784 mae standard 3.7205083
2025-02-07 784 rmse standard 4.9206989
2025-02-07 784 rsq standard 0.1963631
2025-02-07 784 mae standard 3.8755501
2025-02-08 784 rmse standard 4.8766055
2025-02-08 784 rsq standard 0.2682823
2025-02-08 784 mae standard 3.8983214
2025-02-09 784 rmse standard 4.6277134
2025-02-09 784 rsq standard 0.2730617
2025-02-09 784 mae standard 3.7482730
2025-02-10 784 rmse standard 4.7361082
2025-02-10 784 rsq standard 0.1508989
2025-02-10 784 mae standard 3.7352269
2025-02-11 784 rmse standard 4.7133847
2025-02-11 784 rsq standard 0.1790653
2025-02-11 784 mae standard 3.7485830
2025-02-12 784 rmse standard 4.4453459
2025-02-12 784 rsq standard 0.1811563
2025-02-12 784 mae standard 3.5722150
2025-02-13 784 rmse standard 4.5247320
2025-02-13 784 rsq standard 0.1422146
2025-02-13 784 mae standard 3.6946066
2025-02-14 784 rmse standard 4.9444849
2025-02-14 784 rsq standard 0.1259185
2025-02-14 784 mae standard 3.9641992
2025-02-15 785 rmse standard 4.6832114
2025-02-15 785 rsq standard 0.1636090
2025-02-15 785 mae standard 3.6992967
2025-02-16 785 rmse standard 4.5921826
2025-02-16 785 rsq standard 0.1643464
2025-02-16 785 mae standard 3.6428441
2025-02-17 785 rmse standard 4.6161365
2025-02-17 785 rsq standard 0.1483069
2025-02-17 785 mae standard 3.6328144
2025-02-18 785 rmse standard 4.6071702
2025-02-18 785 rsq standard 0.1501472
2025-02-18 785 mae standard 3.6366793
2025-02-19 785 rmse standard 4.6916377
2025-02-19 785 rsq standard 0.1662287
2025-02-19 785 mae standard 3.7634859
2025-02-20 785 rmse standard 4.7276494
2025-02-20 785 rsq standard 0.1772747
2025-02-20 785 mae standard 3.7124803
2025-02-21 785 rmse standard 4.9811871
2025-02-21 785 rsq standard 0.1478609
2025-02-21 785 mae standard 3.8782308
2025-02-22 785 rmse standard 4.6213110
2025-02-22 785 rsq standard 0.1847133
2025-02-22 785 mae standard 3.6147659
2025-02-23 785 rmse standard 4.5520431
2025-02-23 785 rsq standard 0.2416291
2025-02-23 785 mae standard 3.6103164
2025-02-24 785 rmse standard 4.4826638
2025-02-24 785 rsq standard 0.2032854
2025-02-24 785 mae standard 3.5836868
2025-02-25 785 rmse standard 4.7985814
2025-02-25 785 rsq standard 0.1643075
2025-02-25 785 mae standard 3.7986729
2025-02-26 785 rmse standard 4.9220547
2025-02-26 785 rsq standard 0.1533554
2025-02-26 785 mae standard 3.9122780
2025-02-27 785 rmse standard 4.8621982
2025-02-27 785 rsq standard 0.1365695
2025-02-27 785 mae standard 3.7389118
2025-02-28 786 rmse standard 4.9159294
2025-02-28 786 rsq standard 0.1870130
2025-02-28 786 mae standard 3.8713926
2025-03-01 786 rmse standard 4.8544653
2025-03-01 786 rsq standard 0.2043225
2025-03-01 786 mae standard 3.8802501
2025-03-02 786 rmse standard 4.6113313
2025-03-02 786 rsq standard 0.2943855
2025-03-02 786 mae standard 3.6973127
2025-03-03 1572 rmse standard 4.8180782
2025-03-03 1572 rsq standard 0.3090423
2025-03-03 1572 mae standard 3.8606979
2025-03-04 786 rmse standard 4.6049878
2025-03-04 786 rsq standard 0.2366604
2025-03-04 786 mae standard 3.6455206

A comparison of the model prediction vs. the ground truth for the model evaluation data.

Code
preds %>%
  ggplot(aes(n_bikes, .pred)) +
  geom_abline(slope = 1, lty = 2, color = "gray60", size = 1.2) +
  geom_jitter(alpha = 0.5, width = 0.4) +
  labs(
    title = "Model Performance by Prediction",
    subtitle = glue("Using the evaluation data from {test_start_date} to {test_end_date}"),
    x = "Acutal Number of Bikes",
    y = "Predicted Number of Bikes"
  )
Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
ℹ Please use `linewidth` instead.

A visual assessment of model performance by location.

Code
preds %>%
  mutate(.resid = n_bikes - .pred) %>%
  ggplot(aes(lon, lat, color = .resid)) +
  geom_point(alpha = 0.8) +
  scale_color_gradient2() +
  coord_fixed() + 
  labs(
    title = "Model Performance by Location",
    subtitle = glue("Using the evaluation data from {test_start_date} to {test_end_date}"),
    x = "Longitude",
    y = "Latitude",
    color = "Residual"
  )

Ethical considerations

  • We considered the ethical impact the use of the model may have. We assessed that the overall risk due to an incorrect model prediction is relatively low.

Caveats & recommendations