Question

Average Daily TV Viewing Time Per U.S. Household Year Hours Min Total Min 1950 4 20...

Average Daily TV Viewing Time Per U.S. Household Year Hours Min Total Min 1950 4 20 260 1955 4 50 290 1960 5 8 308 1965 5 23 323 1970 5 33 333 1975 5 47 347 1980 6 13 373 1985 6 24 384 1990 6 14 374 1995 6 43 403 2000 7 2 422 2005 7 25 445 2010 7 55 475

Fit a linear trend to the Total Min data. yˆ = t +

Math   Statistics-And-Probability   
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Answer #1

From the given data, the following Table iscalculated:

t Y tY t2
1950 260 507000 3802500
1955 290 566950 3822025
1960 308 603680 3841600
1965 323 634695 3861225
1970 333 656010 3880900
1975 347 685325 3900625
1980 373 738540 3920400
1985 384 762240 3940225
1990 374 744260 3960100
1995 403 803985 3980025
2000 422 844000 4000000
2005 445 892225 4020025
2010 475 954750 4040100
Total = 25740 4737 9393660 50969750

So,

Linear Trend is given by:

= 3.165 t - 5901.989

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