Multiple choices 36/50
(Choose 1 answer)
(See picture)
A. ACT scores account for 57.74% of the total fluctuation in GPA.
B. 57.74% of the total variation of ACT scores can be explained by GPA.
C. GPA accounts for 57.74% of the variability of ACT scores.
It is believed that GPA (grade point average, based on a four point scale) should have a positive linear relationship with ACT scores.Given below is the Excel output for predicting GPA using ACT scores based a data set of 8 randomly chosen students from a Big-Ten university.
Regressing GPA on ACT
D. None of the above.
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Regression Statistics
Multiple R
0.7598
R Square
0.5774
Adjusted R
Square
0.5069
Standard Error
0.2691
Observations
8
ANOVA
af
MS
Regression
Residual
Total
1
6
Significance
SS
F
0.5940 0.5940 8.1986 0.0286
0.4347 0.0724
F
1.0287
Standard
Intercept
ACT
Coefficients Error t Stat P-value Lower 95% Upper 95%
0.5681
0.1021
0.9284 0.6119 0.5630 -1.7036
0.0356 2.8633 0.0286
0.0148
2.8398
0.1895
The interpretation of the coefficient of determination in this regression is
