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We want to determine whether hours spent revising, anxiety scores, and A-level entry points have effect on exam scores for participants. Dependent variable: exam score

We want to determine whether hours spent revising, anxiety scores, and A-level entry points have effect on exam scores for participants.

Dependent variable: exam score

Predictors: hours spent revising, anxiety scores, and A-level entry points.

The result of the analysis, COMPUTER output, is provided below.

Answer the following:

  1. Determine the best fitted regression model.
  2. Write the equation of the regression model (best -fit model) and interpret all the Beta coefficients.
  3. Interpret the ANOVA for regression fit.
  4. Determine and interpret the coefficient of determination r2.
  5. What can we conclude about the relationship of the dependent and predictor variables?

Regression

Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.872a

.760

.746

5.52134

2

.912b

.832

.812

4.75122

a. Predictors: (Constant), A-level entry points

b. Predictors: (Constant), A-level entry points, hours spent revising

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

1735.266

1

1735.266

56.922

.000b

Residual

548.734

18

30.485

Total

2284.000

19

2

Regression

1900.241

2

950.121

42.089

.000c

Residual

383.759

17

22.574

Total

2284.000

19

a. Dependent Variable: exam score

b. Predictors: (Constant), A-level entry points

c. Predictors: (Constant), A-level entry points, hours spent revising

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

-8.172

9.251

-.883

.389

A-level entry points

2.982

.395

.872

7.545

.000

2

(Constant)

-3.925

8.114

-.484

.635

A-level entry points

1.994

.499

.583

3.997

.001

hours spent revising

.476

.176

.394

2.703

.015

a. Dependent Variable: exam score

Excluded Variablesa

Model

Beta In

t

Sig.

Partial Correlation

Collinearity Statistics

Tolerance

1

hours spent revising

.394b

2.703

.015

.548

.465

anxiety

.101b

.837

.414

.199

.940

2

anxiety

.179c

1.796

.091

.410

.885

a. Dependent Variable: exam score

b. Predictors in the Model: (Constant), A-level entry points

c. Predictors in the Model: (Constant), A-level entry points, hours spent revising

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