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