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Use the Stat_Grades data set to determine the relationships between a student'sshort-form IQ score,previous GPA, and the student'sFinal Examination points. a. What are the correlations for each pair of variables? You may use a correlation matrix to show this if you like. b. What would be the predictedFinal Examination points for a student who has anIQ score of 120 and had a 3.35 GPA using multiple regression?
Descriptive Statistics
Short Form IQ Test Score
115.34
9.967
105
Previous GPA
2.7789
.76380
Correlations
Pearson Correlation
1
.570**
Sig. (2-tailed)
.000
N
**. Correlation is significant at the 0.01 level (2-tailed).
Mean
Std. Deviation
Final Exam Points
61.48
7.943
.363**
.498**
Variables Entered/Removeda
Model
Variables Entered
Variables Removed
Method
Previous GPA, Short Form IQ Test Scoreb
.
Enter
a. Dependent Variable: Final Exam Points
b. All requested variables entered.
Model Summary
R
R Square
Adjusted R Square
Std. Error of the Estimate
.507a
.257
.243
6.912
a. Predictors: (Constant), Previous GPA, Short Form IQ Test Score
ANOVAa
Sum of Squares
df
Mean Square
F
Sig.
Regression
1688.794
2
844.397
17.673
.000b
Residual
4873.396
102
47.778
Total
6562.190
104
b. Predictors: (Constant), Previous GPA, Short Form IQ Test Score
Coefficientsa
Unstand
ardized Coefficients
Standardized Coefficients
t
95.0% Confidence Interval for B
B
Std. Error
Beta
Lower Bound
Upper Bound
(Constant)
38.231
8.241
4.639
21.884
54.578
.093
.083
.117
1.130
.261
-.071
.258
4.485
1.080
.431
4.153
2.343
6.626
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