Kizspy Question: 55
(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
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
0.7598
R Square
0.5774
Adjusted R
Square
0.5069
Standard Error
0.2691
Observations
ANOVA
df
SS
Regression
Residual
Total
1
MS
0.5940 0.5940 8.1986
0.4347 0.0724
F
Significance
F
0.0286
7
1.0287
Standard
Coefficients Error
Intercept
ACT
0.5681
0.1021
t Stat P-value Lower 95% Upper 95%
0.9284 0.6119 0.5630 -1.7036 2.8398
0.0356 2.8633 0.0286 0.0148 0.1895
The interpretation of the coefficient of determination in this
regression is
