Descriptive Statistics
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 | 105 |
Correlations | |||
Short Form IQ Test Score | Previous GPA | ||
Short Form IQ Test Score | Pearson Correlation | 1 | .570** |
Sig. (2-tailed) | .000 | ||
N | 105 | 105 | |
Previous GPA | Pearson Correlation | .570** | 1 |
Sig. (2-tailed) | .000 | ||
N | 105 | 105 | |
**. Correlation is significant at the 0.01 level (2-tailed). | |||
Descriptive Statistics | |||
Mean | Std. Deviation | N | |
Short Form IQ Test Score | 115.34 | 9.967 | 105 |
Final Exam Points | 61.48 | 7.943 | 105 |
Correlations | |||
Short Form IQ Test Score | Final Exam Points | ||
Short Form IQ Test Score | Pearson Correlation | 1 | .363** |
Sig. (2-tailed) | .000 | ||
N | 105 | 105 | |
Final Exam Points | Pearson Correlation | .363** | 1 |
Sig. (2-tailed) | .000 | ||
N | 105 | 105 | |
**. Correlation is significant at the 0.01 level (2-tailed). | |||
Descriptive Statistics | |||
Mean | Std. Deviation | N | |
Final Exam Points | 61.48 | 7.943 | 105 |
Previous GPA | 2.7789 | .76380 | 105 |
Correlations | |||
Final Exam Points | Previous GPA | ||
Final Exam Points | Pearson Correlation | 1 | .498** |
Sig. (2-tailed) | .000 | ||
N | 105 | 105 | |
Previous GPA | Pearson Correlation | .498** | 1 |
Sig. (2-tailed) | .000 | ||
N | 105 | 105 | |
**. Correlation is significant at the 0.01 level (2-tailed). | |||
Variables Entered/Removeda | |||
Model | Variables Entered | Variables Removed | Method |
1 | Previous GPA, Short Form IQ Test Scoreb | . | Enter |
a. Dependent Variable: Final Exam Points | |||
b. All requested variables entered. | |||
Model Summary | ||||
Model | R | R Square | Adjusted R Square | Std. Error of the Estimate |
1 | .507a | .257 | .243 | 6.912 |
a. Predictors: (Constant), Previous GPA, Short Form IQ Test Score | ||||
ANOVAa | ||||||
Model | Sum of Squares | df | Mean Square | F | Sig. | |
1 | Regression | 1688.794 | 2 | 844.397 | 17.673 | .000b |
Residual | 4873.396 | 102 | 47.778 | |||
Total | 6562.190 | 104 | ||||
a. Dependent Variable: Final Exam Points | ||||||
b. Predictors: (Constant), Previous GPA, Short Form IQ Test Score | ||||||
Coefficientsa | ||||||||
Model | Unstandardized Coefficients | Standardized Coefficients | t | Sig. | 95.0% Confidence Interval for B | |||
B | Std. Error | Beta | Lower Bound | Upper Bound | ||||
1 | (Constant) | 38.231 | 8.241 | 4.639 | .000 | 21.884 | 54.578 | |
Short Form IQ Test Score | .093 | .083 | .117 | 1.130 | .261 | -.071 | .258 | |
Previous GPA | 4.485 | 1.080 | .431 | 4.153 | .000 | 2.343 | 6.626 | |
a. Dependent Variable: Final Exam Points | ||||||||
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