Use the table and the given regression equation to answer parts (a)-(e). 3 2 y=4-4x -8 X y 1 O No OYes 0 -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? c. Determine the value of r2, the coefficient of determination. 2 (Round to four decimal places as needed.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
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Use the table and the given regression equation to answer parts (a)-(e).
3
y=4-4x
-8
X
y
SSE=
No
Yes
1
0
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.)
(Type an integer or a decimal.)
b. Verify the regression identity, SST = SSR + SSE. Is this statement correct?
20
O A. Not useful
-4
c. Determine the value of r2², 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.
Transcribed Image Text:Use the table and the given regression equation to answer parts (a)-(e). 3 y=4-4x -8 X y SSE= No Yes 1 0 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.) (Type an integer or a decimal.) b. Verify the regression identity, SST = SSR + SSE. Is this statement correct? 20 O A. Not useful -4 c. Determine the value of r2², 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.
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