A simple linear regression was conducted. Based on the SPSS outputS below, answe

Question

A simple linear regression was conducted. Based on the SPSS outputS below, answer the following questions:
1)   What is the value of the intercept of this regression equation?
2)   What is the value of the slope of this regression equation and what is its interpretation within the context of this problem?
3)   Write the equation for this logistic regression model
4)   Use the regression equation to predict the average SAT Math score for a state with 25 percent of the students taking the SAT.
5)   R2 = .700 What does this number mean?
6)   F = 25.700 Explain how F (F ratio) is calculated and what it means.
7)   Write the results in APA style.

Output provided below from SPSS.

Descriptive Statistics

Mean

Std. Deviation

N

Percentage Taking SAT

30.69

16.815

13

Mean_Math_SAT

531.15

17.799

13

Correlations

Percentage Taking SAT

Mean_Math_SAT

Pearson Correlation

Percentage Taking SAT

1.000

-.837

Mean_Math_SAT

-.837

1.000

Sig. (1-tailed)

Percentage Taking SAT

.

.000

Mean_Math_SAT

.000

.

N

Percentage Taking SAT

13

13

Mean_Math_SAT

13

13

Variables Entered/Removeda

Model

Variables Entered

Variables Removed

Method

1

Mean_Math_SATb

.

Enter

a. Dependent Variable: Percentage Taking SAT

b. All requested variables entered.

Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.837a

.700

.673

9.615

a. Predictors: (Constant), Mean_Math_SAT

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

2375.873

1

2375.873

25.700

.000b

Residual

1016.897

11

92.445

Total

3392.769

12

a. Dependent Variable: Percentage Taking SAT

b. Predictors: (Constant), Mean_Math_SAT

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

95.0% Confidence Interval for B

Correlations

B

Std. Error

Beta

Lower Bound

Upper Bound

Zero-order

Partial

Part

1

(Constant)

450.590

82.870

5.437

.000

268.194

632.986

Mean_Math_SAT

-.791

.156

-.837

-5.070

.000

-1.134

-.447

-.837

-.837

-.837

a. Dependent Variable: Percentage Taking SAT

Descriptive Statistics

Mean

Std. Deviation

N

Percentage Taking SAT

30.69

16.815

13

Mean_Math_SAT

531.15

17.799

13

Explanation / Answer

1)   What is the value of the intercept of this regression equation?

Answer: 450.590
2)   What is the value of the slope of this regression equation and what is its interpretation within the context of this problem?

Answer:-.791

5)   R2 = .700 What does this number mean?

Answer: There is positive correlation between two variables.
6)   F = 25.700 Explain how F (F ratio) is calculated and what it means.

Fvalue = mean square of regression/ mean square of residual =2375.873/92.445

Hope this will be helpful. Thanks :)

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