Use the table and the given regression equation to answer parts (a)-(e). 3 1 20 y=-1-x -2 0 x y a. Compute the three sums of squares, SST, SSR, and SSE, using the defining formulas. SST = -7 (Type an integer or a decimal.) (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? SSR= No Yes c. Determine the value of r², the coefficient of determination. 2=(Round to four decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
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Use the table and the given regression equation to answer parts (a)-(e).
3
1
2
y=-1-x
- 2
0
-7
X
y
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.)
(Type an integer or a decimal.)
b. Verify the regression identity, SST = SSR + SSE. Is this statement correct?
SSR=
SSE=
No
Yes
c. Determine the value of r2, the coefficient of determination.
2= (Round to four decimal places as needed.)
Transcribed Image Text:Use the table and the given regression equation to answer parts (a)-(e). 3 1 2 y=-1-x - 2 0 -7 X y 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.) (Type an integer or a decimal.) b. Verify the regression identity, SST = SSR + SSE. Is this statement correct? SSR= SSE= 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. Very useful
B. Moderately useful
C. Not useful
Transcribed Image Text: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. Very useful B. Moderately useful C. Not useful
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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. Very useful
B. Moderately useful
C. Not useful
Transcribed Image Text: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. Very useful B. Moderately useful C. Not useful
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