Showing posts with label Given. Show all posts
Showing posts with label Given. Show all posts

Given the following data:




Average Daily TV Viewing Time Per U.S. Household



Average Daily TV Viewing Time Per U.S. Household





Year Code (t) Total Minutes



Year Code (t) Total Minutes





1950 1 275



1950 1 275





1955 2 291



1955 2 291





1960 3 306



1960 3 306





1965 4 329



1965 4 329





1970 5 356



1970 5 356





1975 6 367



1975 6 367





1980 7 396



1980 7 396





1985 8 430



1985 8 430





1990 9 413



1990 9 413





1995 10 437



1995 10 437





2000 11 455





2005 12 ?



2005 12 ?





(a) Plot the total minutes of TV viewing time per household.



(a) Plot the total minutes of TV viewing time per household.



(b) Describe the trend (if any) and discuss possible causes.



(b) Describe the trend (if any) and discuss possible causes.



(c) Fit a linear trend to the data.



(c) Fit a linear trend to the data.



(d) Would this model give reasonable forecasts? Would another trend model be better? Explain. (e) Make a forecast for 2005. Note: Time is in 5-year increments, so use t = 12 for the 2005 forecast.



(d) Would this model give reasonable forecasts? Would another trend model be better? Explain. (e) Make a forecast for 2005. Note: Time is in 5-year increments, so use t = 12 for the 2005 forecast.











Part 2. Given the following data:





Asian and European share of U.S light truck sales. 1990-2003



Year Percent Year Percent



1990 16.4 1997 15.4



1991 17.1 1998 16.2



1992 14.3 1999 18.4



1993 13.7 2000 21.2



1994 14.2 2001 23.1



1995 13.6 2002 23.9



1996 13.6 2003 25.6





(a) Plot the market-share data. (b) Describe the trend (if any) and discuss possible causes. (c) Fit three trends (linear, exponential, quadratic). (d) Which trend model is best, and why? If none is satisfactory, explain. (e) Make a forecast for 2004 by using a trend model of your choice or a judgment forecast.