Question

In: Statistics and Probability

(SPSS outputs such as tables and graphs must be copied and pasted to your document). Part...

(SPSS outputs such as tables and graphs must be copied and pasted to your document).

Part 1

Please open “LIFE” data. The data is related to results of a survey that asks people to grade themselves in terms of Conscientiousness and Life satisfaction. Conscientiousness grading scale is from 1 to 10 whereas Life satisfaction criteria was graded from 1 to 80. And each person, surveyed grade himself by own for both criteria. Gender information is included in data as well. The objective of survey is whether life satisfaction can be explained with conscientiousness and gender. So, the dependent variable is defined as life satisfaction and the independent variables are gender and conscientiousness. Please do the following steps:

1) Run a linear regression in SPSS the dependent variable is life satisfaction and the independent variables are gender and cons. Copy and paste the SPSS output to your document.

2) Write down the regression equation.

3) Test if gender has no significant effect on life satisfaction at alpha=0.05 significance level.

4) Give a complete interpretation of the slope coefficient of gender

   LIFE DATA:

Conscientiousness

Life Satisfaction

Gender(1 Female, 0 Male)

6

45

0

5

30

1

2

38

1

1

50

0

2

30

1

5

34

1

2

40

0

7

57

0

2

35

0

7

51

0

5

30

0

6

39

1

2

40

1

5

30

0

3

10

0

2

40

1

1

45

0

3

14

0

7

54

1

1

50

1

5

31

0

6

43

1

5

27

1

7

51

0

7

50

1

7

51

0

4

10

0

5

34

0

5

28

1

2

35

0

Solutions

Expert Solution

I have answered the question below

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Answer:

1)

2)

3)

he p-value for the significance test of slope corresponding for the independent variable gender is 0.616. This p-value is greater than the alpha=0.05 significance level. Hence, we can conclude that gender has no significant effect on life satisfaction at the alpha=0.05 significance level.

4)

The estimated slope for the variable conscientiousness is 2.288. Hence, when a unit increase for the variable gender , it increases the mean of life satisfaction by 2.288.


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