Kizspy | Question: 91
(Choose 1 answer)
(See picture)
A. 57.74% of the total variation of ACT scores can be explained by GPA.
B. ACT scores account for 57.74% of the total fluctuation in GPA.
C. GPA accounts for 57.74% of the variability of ACT scores.
D. None of the other choices is correct
FUOVERFL
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
Regression Statistics
Multiple R
R Square Adjusted R
Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
0.7598
0.5774
0.5069
0.2691
8
Significance
F
af
SS
MS
F
0.5940 0.5940 8.1986 0.0286
0.4347 0.0724
1.0287
Standard
Coefficients Error t Stat P-value Lower 95% Upper 95%0.5681
0.9284 0.6119 0.5630 -1.7036
0.0356 2.8633 0.0286
0.0148
2.8398
0.1895
0.1021
The interpretation of the coefficient of determination in this regression is
1
6
7
Intercept
ACT
