Question

In: Statistics and Probability

Since its inception in 1967, the Super Bowl has been one of the most watched events...

Since its inception in 1967, the Super Bowl has been one of the most watched events on u.S. television every year. The number of u.S. households that tuned in for each Super Bowl, reported by nielsen.com, is provided in the data set SuperBowlratings.

a. Construct a time series plot for the data. What type of pattern exists in the data? discuss some of the patterns that may have resulted in the pattern exhibited in the time series plot of the data.

b. given the pattern of the time series plot developed in part (a), do you think the forecasting methods discussed in this chapter are appropriate to develop forecasts for this time series? explain.

c. use simple linear regression analysis to find the parameters for the line that minimizes mSe for this time series
Super Bowl U.S. Viewership Nielsen Rating Avg # of Homes
I 51,180,000 41.1 51,180
II 39,120,000 36.8 20,610
III 41,660,000 36 20,520
IV 44,300,000 39.4 23,050
IX 56,000,000 42.4 29,040
V 46,000,000 39.9 23,980
VI 56,640,000 44.2 27,450
VII 53,320,000 42.7 27,670
VIII 51,700,000 41.6 27,540
X 57,700,000 42.3 29,440
XI 62,000,000 44.4 31,610
XII 78,940,000 47.2 34,410
XIII 74,740,000 47.1 35,090
XIV 76,200,000 46.3 35,330
XIX 85,520,000 46.4 39,390
XL 90,700,000 41.6 45,867
XLI 93,200,000 42.6 47,505
XLII 97,500,000 43.1 48,665
XLIII 98,700,000 42 48,139
XLIV 106,500,000 45 51,728
XLV 111,000,000 46 53,282
XLVI 111,300,000 47.1 53,910
XLVII 108,690,000 46.4 52,998
XLVIII 111,500,000 46.4 0
XV 68,290,000 44.4 34,540
XVI 85,240,000 49.1 40,020
XVII 81,770,000 48.6 40,480
XVIII 77,620,000 46.4 38,880
XX 92,570,000 48.3 41,490
XXI 87,200,000 45.8 40,030
XXII 80,140,000 41.9 37,120
XXIII 81,600,000 43.5 39,320
XXIV 73,850,000 39 35,920
XXIX 83,400,000 41.3 39,400
XXV 79,510,000 41.9 39,010
XXVI 79,600,000 40.3 37,120
XXVII 90,990,000 45.1 41,990
XXVIII 90,000,000 45.5 42,860
XXX 94,080,000 46 44,145
XXXI 87,870,000 43.3 42,000
XXXII 90,000,000 44.5 43,630
XXXIII 83,700,000 40.2 39,992
XXXIV 88,500,000 43.3 43,618
XXXIX 86,000,000 41.1 45,081
XXXV 84,300,000 40.4 41,270
XXXVI 86,800,000 40.4 42,664
XXXVII 88,600,000 40.7 43,433
XXXVIII 89,800,000 41.4 44,908

Solutions

Expert Solution

From the graphs shown with forecast, three months moving average shows a lesser mse.


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