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Question 2 Data contains the number of monthly transit rides on a transportation system from June 2013 up until May 2017. Our goal is to

Question 2

Data contains the number of monthly transit rides on a transportation system from June 2013 up until May 2017. Our goal is to predict the ride volume for the following 12 months.

Keep the last 12 months as a holdout (validation) data set, and the remaining data as a training set.

Set the number of forecasts to 12.

  1. Create and attach the time series plot of the number of monthly transit rides. Does this time series exhibit trend and/or seasonality? Explain your answer.
  2. Based on your answer in part a, identify the best exponential smoothing model with appropriate smoothing constant.
    1. Attach the StatTools report. Also, include a plot of the predicted volume and actual over time.
    2. What are the RMSE and MAPE of the model based on the holdout data?
    3. What are the predicted ride volumes for June 2017-May 2018? Fill in the table with your predictions for the following 12 months.

Month/Year Transit Volume
Jun-2017
Jul-2017
Aug-2017
Sep-2017
Oct-2017
Nov-2017
Dec-2017
Jan-2018
Feb-2018
Mar-2018
Apr-2018
May-2018
  1. Based on your answer in part a, identify the best moving average model with appropriate span.
    1. Attach the StatTools report. Also, include a plot of the predicted volume and actual over time.
    2. What are the RMSE and MAPE of the model based on the holdout data?
    3. What are the predicted ride volumes for June 2017-May 2018?

Fill in the table with your predictions for the following 12 months

Month/Year Transit Volume
Jun-2017
Jul-2017
Aug-2017
Sep-2017
Oct-2017
Nov-2017
Dec-2017
Jan-2018
Feb-2018
Mar-2018
Apr-2018
May-2018

Data

Month Trips/month
Jun-13 21213
Jul-13 31565
Aug-13 37009
Sep-13 38731
Oct-13 36639
Nov-13 24390
Dec-13 15499
Jan-14 10556
Feb-14 8834
Mar-14 15420
Apr-14 24336
May-14 30806
Jun-14 34523
Jul-14 34245
Aug-14 34713
Sep-14 34440
Oct-14 29811
Nov-14 19455
Dec-14 14111
Jan-15 10129
Feb-15 7769
Mar-15 12057
Apr-15 23829
May-15 33642
Jun-15 33047
Jul-15 35960
Aug-15 38410
Sep-15 42742
Oct-15 39106
Nov-15 32909
Dec-15 25939
Jan-16 17306
Feb-16 19329
Mar-16 29641
Apr-16 33769
May-16 39108
Jun-16 48664
Jul-16 44512
Aug-16 50231
Sep-16 54925
Oct-16 50751
Nov-16 39890
Dec-16 26194
Jan-17 33225
Feb-17 28344
Mar-17 24712
Apr-17 43846
May-17 48900

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