A protessor obtains SAT scores and freshman grade point averages (GPAS) for a group of n = 15 college students. The SAT scores have a mean of M = 580 with SS = 22,400, and the GPAS have a mean of 3.10 with SS = 1.26, and %3D SP = 84. Find the regression equation for predicting GPA from SAT scores. (Use five decimal places for the slope.) What percentage of the variance in GPAS is accounted for by the regression equation? (Compute the correlation, r, then find r2.) Percentage predicted = Percentage not predicted Does the regression equation account for a significant portion of the variance in GPA? Use a = .05 to evaluate the F-ratio. Source SS df MS Regression Residual Total Critical value for the F-ratio = (Use three decimal places.) F Distribution Numerator Degrees of Freedom 6 Denominator Degrees of Freedom = 16 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 Conclusion: The regression significant. is is not %3D

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A protessor obtains SAT scores and freshman grade point averages (GPAS) for a group of n = 15 college students.
The SAT scores have a mean of M = 580 with SS = 22,400, and the GPAS have a mean of 3.10 with SS = 1.26, and
%3D
SP = 84.
Find the regression equation for predicting GPA from SAT scores. (Use five decimal places for the slope.)
What percentage of the variance in GPAS is accounted for by the regression equation? (Compute the correlation, r,
then find r2.)
Percentage predicted =
Percentage not predicted
Does the regression equation account for a significant portion of the variance in GPA? Use a = .05 to evaluate the
F-ratio.
Source
SS
df
MS
Regression
Residual
Total
Critical value for the F-ratio =
(Use three decimal places.)
F Distribution
Numerator Degrees of Freedom 6
Denominator Degrees of Freedom = 16
0.0
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
11.0
12.0
Conclusion: The regression
significant.
is
is not
%3D
Transcribed Image Text:A protessor obtains SAT scores and freshman grade point averages (GPAS) for a group of n = 15 college students. The SAT scores have a mean of M = 580 with SS = 22,400, and the GPAS have a mean of 3.10 with SS = 1.26, and %3D SP = 84. Find the regression equation for predicting GPA from SAT scores. (Use five decimal places for the slope.) What percentage of the variance in GPAS is accounted for by the regression equation? (Compute the correlation, r, then find r2.) Percentage predicted = Percentage not predicted Does the regression equation account for a significant portion of the variance in GPA? Use a = .05 to evaluate the F-ratio. Source SS df MS Regression Residual Total Critical value for the F-ratio = (Use three decimal places.) F Distribution Numerator Degrees of Freedom 6 Denominator Degrees of Freedom = 16 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 Conclusion: The regression significant. is is not %3D
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