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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 Latim ete th

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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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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