Interpret the results and explain your interpretation (9 pts total)Hypothesis 1

Question

Interpret the results and explain your interpretation (9 pts total)Hypothesis 1 (3 pts)

Is the overall regression significant? What can you conclude?

How much of the variance is explained by the regression model?

H1: There is a significant and positive relationship between “benefits reasonable” and loyalty.

Regression

Variables Entered/Removeda

Model

Variables Entered

Variables Removed

Method

1

X12 -- Benefits Reasonableb

.

Enter

a. Dependent Variable: X13 -- Loyalty

b. All requested variables entered.

Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.278a

.077

.062

.937

a. Predictors: (Constant), X12 -- Benefits Reasonable

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

4.484

1

4.484

5.112

.027b

Residual

53.516

61

.877

Total

58.000

62

a. Dependent Variable: X13 -- Loyalty

b. Predictors: (Constant), X12 -- Benefits Reasonable

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

4.250

.638

6.665

.000

X12 -- Benefits Reasonable

.328

.145

.278

2.261

.027

a. Dependent Variable: X13 -- Loyalty

Variables Entered/Removeda

Model

Variables Entered

Variables Removed

Method

1

X12 -- Benefits Reasonableb

.

Enter

a. Dependent Variable: X13 -- Loyalty

b. All requested variables entered.

Explanation / Answer

Is the overall regression significant? What can you conclude?
significance F = 0.027 < 0.05
hence the model is significant at 5% level of significance

How much of the variance is explained by the regression model?
R^2 = 0.077
hence
7.7 %

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