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date sales 2000Q1 6307 2000Q2 6053 2000Q3 6118 2000Q4 7433 2001Q1 5993 2001Q2 5960 2001Q3 5786 2001Q4 7016 2002Q1 5856 2002Q2 5795 2002Q3 6662 2002Q4

date sales
2000Q1 6307
2000Q2 6053
2000Q3 6118
2000Q4 7433
2001Q1 5993
2001Q2 5960
2001Q3 5786
2001Q4 7016
2002Q1 5856
2002Q2 5795
2002Q3 6662
2002Q4 7170
2003Q1 6500
2003Q2 6377
2003Q3 7014
2003Q4 8549
2004Q1 7189
2004Q2 7471
2004Q3 7543
2004Q4 8666
2005Q1 7829
2005Q2 7715
2005Q3 7734
2005Q4 8854
2006Q1 7767
2006Q2 8474
2006Q3 8652
2006Q4 9581
2007Q1 7954
2007Q2 9045
2007Q3 8930
2007Q4 10452
2008Q1 8710
2008Q2 9236
2008Q3 9445
2008Q4 9599
2009Q1 8087
2009Q2 8596
2009Q3 9867
2009Q4 9739
2010Q1 8580
2010Q2 10002
2010Q3 9742
2010Q4 10716
2011Q1 9077
2011Q2 10675
2011Q3 10425
2011Q4 10779
2012Q1 9629
2012Q2 11088
2012Q3 10782
2012Q4 11341
2013Q1 10554
2013Q2 11578
2013Q3 11568
2013Q4 12309
2014Q1 11649
2014Q2 12466
2014Q3 12389
2014Q4 13391
2015Q1 12461
2015Q2 13101
2015Q3 13512
2015Q4 15244
2016Q1 12969
2016Q2 14277
2016Q3 13142
2016Q4 14784
2017Q1 13336
2017Q2 14238
2017Q3 12779
2017Q4 15351
2018Q1 14548
2018Q2 15228
2018Q3 14307
2018Q4 15303
2019Q1 14924
2019Q2 20262
2019Q3 19100
2019Q4 20858
2020Q1 18044
2020Q2 11779

Please answer and justify, showing all steps and results using RStudio.

1. Use 2000:1 to 2013:4 for training and 2014:1 to 2020:2 for testing. The random walk with drift MASE from the test data is:

A) 1.35

B) 2.57

C) 1.43

D) 4.52

2. The revenue forecast for 2021 Q1 from the random walk with drift model is:

A) 11982

B) 9301

C) 13600

D) 12111

3. Plot the ACF for revenue, using RStudio. The ACF shows:

A) seasonal

B) cycle

C) trend

D) noise

4. Perform time series cross-validation on the data for the same set of quarterly sales. Use a random walk with drift for the forecast function. Find the MAD at step 6.

A) 945

B) 808

C) 1045

D) 1151

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