We have data from the National Confectioners Association on 6-years worth of candy sales where our response is the amount of candy sold (in millions of dollars) and the predictor is the year of sale. Amount of Candy Sold 1.993 2.041 2.088 2.146 2.202 2.209 Year 2003 2004 2005 2006 2007 2008 Latim ete th

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We have data from the National Confectioners Association on 6-years worth of candy sales where
our response is the amount of candy sold (in millions of dollars) and the predictor is the year of
sale.
Amount of Candy Sold 1.993 2.041 2.088
2.146 2.202 2.209
Year
2003
2004
2005
2006
2007
2008
(a)
Estimate the fitted regression line using the above dataset.
(b)
Build a 95% confidence interval for the mean response when the predictor increases
by one unit.
(c)
based for a hypothesis test based on this table be supported by the confidence interval in (b).
Justify briefly.
Build the Analysis of Variance table for this linear model. Would a conclusion
(d)
for a hypothesis test on the slope of the regression line.
Show that, in general, the F statistic is equivalent to the square of the T statistic
(e)
using the test statistic
Show that, in general, it is equivalent to test whether the population slope is 0
r/n – 2
T =
'п -
V1- r2
where r is the sample correlation between X and Y.
Transcribed Image Text:We have data from the National Confectioners Association on 6-years worth of candy sales where our response is the amount of candy sold (in millions of dollars) and the predictor is the year of sale. Amount of Candy Sold 1.993 2.041 2.088 2.146 2.202 2.209 Year 2003 2004 2005 2006 2007 2008 (a) Estimate the fitted regression line using the above dataset. (b) Build a 95% confidence interval for the mean response when the predictor increases by one unit. (c) based for a hypothesis test based on this table be supported by the confidence interval in (b). Justify briefly. Build the Analysis of Variance table for this linear model. Would a conclusion (d) for a hypothesis test on the slope of the regression line. Show that, in general, the F statistic is equivalent to the square of the T statistic (e) using the test statistic Show that, in general, it is equivalent to test whether the population slope is 0 r/n – 2 T = 'п - V1- r2 where r is the sample correlation between X and Y.
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