X y ble and the given regression equation to ansv parts (a)-(e). 3 y=5-5x O No Yes - 10 1 0 20 -5 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.) . Verify the regression identity, SST = SSR + SSE. Is this statement correct? . Determine the value of r², 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.) . State how useful the regression equation appears to be for making predictions.

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Use the table and the given regression equation to answer parts (a)-(e).
y=5-5x
+
X
y
SSR=
SSE=
3
- 10
No
Yes
1
a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas.
SST =
(Type an integer or a decimal.)
(Type an integer or a decimal.)
0
20
(Type an integer or a decimal.)
b. Verify the regression identity, SST = SSR + SSE. Is this statement correct?
A. Moderately useful
-5
c. Determine the value of r², 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.
Transcribed Image Text:Use the table and the given regression equation to answer parts (a)-(e). y=5-5x + X y SSR= SSE= 3 - 10 No Yes 1 a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas. SST = (Type an integer or a decimal.) (Type an integer or a decimal.) 0 20 (Type an integer or a decimal.) b. Verify the regression identity, SST = SSR + SSE. Is this statement correct? A. Moderately useful -5 c. Determine the value of r², 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.
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