Use the table and the given regression equation to answer parts (a)-(e). 3 1 2 9 y = 2-2.5x y - 5 -4 a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas. SST = (Type an integer or a decimal.) SSR= |(Type an integer or a decimal.) SSE = (Type an integer or a decimal.) b. Verify the regression identity, SST = SSR + SSE. Is this statement correct? O No O Yes c. Determine the value of 2, the coefficient of determination. ? = (Round to four decimal places as needed.) d. Determine the percentage of variation in the observed values of the response variable that is explained by the regression. % (Round to two decimal places as needed.) e. State how useful the regression equation appears to be for making predictions. O A. Moderately useful B. Very useful

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Use the table and the given regression equation to answer parts (a)-(e).
ý = 2-2.5x
3
1
y
- 5
- 4
.....
a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas.
SST =
(Type an integer or a decimal.)
SSR =
(Type an integer or a decimal.)
SSE =
(Type an integer or a decimal.)
b. Verify the regression identity, SST = SSR + SSE. Is this statement correct?
No
Yes
c. Determine the value of r², the coefficient of determination.
2 = |(Round to four decimal places as needed.)
d. Determine the percentage of variation in the observed values of the response variable that is explained by the regression.
% (Round to two decimal places as needed.)
e. State how useful the regression equation appears to be for making predictions.
O A. Moderately useful
B. Very useful
O C. Not useful
Transcribed Image Text:Use the table and the given regression equation to answer parts (a)-(e). ý = 2-2.5x 3 1 y - 5 - 4 ..... a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas. SST = (Type an integer or a decimal.) SSR = (Type an integer or a decimal.) SSE = (Type an integer or a decimal.) b. Verify the regression identity, SST = SSR + SSE. Is this statement correct? No Yes c. Determine the value of r², the coefficient of determination. 2 = |(Round to four decimal places as needed.) d. Determine the percentage of variation in the observed values of the response variable that is explained by the regression. % (Round to two decimal places as needed.) e. State how useful the regression equation appears to be for making predictions. O A. Moderately useful B. Very useful O C. Not useful
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