Complete the following worksheet and then use it to calculate the coefficient of determination. ii xixi yiyi yˆy^ (yˆi−y¯)2y^i−y¯2 (yi−y¯)2yi−y¯2 1 15 160 177.649 2.719 256.000 2 13.5 220 202.382 696.010 1,936.000 3 16.5 140 152.915 532.917 1,296.000 4 14.5 190 185.893 97.871 196.000 5 17 120 144.671 981.506 3,136.000 6 16 160 161.160 220.226 256.000 7 13 210 210.627 1,199.029 1,156.000 8 18 150 128.182 2,286.561 676.000 9 12 220 227.116 2,612.845 1,936.000 10 15.5 190 169.404 43.507 196.000       Total     ?     ?   The coefficient of determination (r2r2) is:    ?   According to the regression model, which of the following is the best estimate together with the 95 percent prediction interval of paint sales (in thousands of gallons) in a sales region where the selling price is $12.50? 437.605 ± 2(17.200)   218.855 ± 2(17.200)   437.605 ± 2(3.045)   218.855 ± 2(3.045)     What is the price elasticity of demand at a selling price of $12.50? -0.58   -0.07   -0.94   -0.06

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Complete the following worksheet and then use it to calculate the coefficient of determination.
ii
xixi
yiyi
yˆy^
(yˆi−y¯)2y^i−y¯2
(yi−y¯)2yi−y¯2
1 15 160 177.649 2.719 256.000
2 13.5 220 202.382 696.010 1,936.000
3 16.5 140 152.915 532.917 1,296.000
4 14.5 190 185.893 97.871 196.000
5 17 120 144.671 981.506 3,136.000
6 16 160 161.160 220.226 256.000
7 13 210 210.627 1,199.029 1,156.000
8 18 150 128.182 2,286.561 676.000
9 12 220 227.116 2,612.845 1,936.000
10 15.5 190 169.404 43.507 196.000
      Total     ?     ?
 
The coefficient of determination (r2r2) is:    ?
 
According to the regression model, which of the following is the best estimate together with the 95 percent prediction interval of paint sales (in thousands of gallons) in a sales region where the selling price is $12.50?
437.605 ± 2(17.200)
 
218.855 ± 2(17.200)
 
437.605 ± 2(3.045)
 
218.855 ± 2(3.045)
 
 
What is the price elasticity of demand at a selling price of $12.50?
-0.58
 
-0.07
 
-0.94
 
-0.06
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