An R-square of 0.052 means that:

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Does Job stress influence overall life satisfaction?

A sample of 7,814 people were surveyed, and this is the result of the regression analysis:

 

Descriptive Statistics

 

Mean

Std. Deviation

N

Life satisfaction

7.97

1.194

7817

Job stress

3.16

1.667

7817

 

 

Model Summaryb

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics

R Square Change

F Change

df1

df2

Sig. F Change

1

.228a

.052

.052

1.162

.052

427.062

1

7815

.000

a. Predictors: (Constant), Job stress

b. Dependent Variable: Life satisfaction

  

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

577.130

1

577.130

427.062

.000b

Residual

10561.161

7815

1.351

 

 

Total

11138.291

7816

 

 

 

a. Dependent Variable: Life satisfaction

b. Predictors: (Constant), Job stress

  

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

95.0% Confidence Interval for B

B

Std. Error

Beta

Lower Bound

Upper Bound

1

(Constant)

8.485

.028

 

301.319

.000

8.430

8.541

Job stress

-.163

.008

-.228

-20.665

.000

-.178

-.148

a. Dependent Variable: Life satisfaction

 

Question: An R-square of 0.052 means that:

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