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.

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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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