Consider the SPSS regression output below. The dependent variable (Y) is the level of happiness felt by individuals.  The dependent variable was measured in the following manner: 1= very unhappy, 2= somewhat unhappy, 3=neither unhappy nor happy, 4= somewhat happy, 5= very happy. The following four factors are the independent variables: highest year of school completed, respondent’s age, number of children of the respondent, and total family income. The researcher acquired data from 1,457 randomly selected Americans and ran a multiple regression. The regression results are presented below:

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Consider the SPSS regression output below. The dependent variable (Y) is the level of happiness felt by individuals.  The dependent variable was measured in the following manner: 1= very unhappy, 2= somewhat unhappy, 3=neither unhappy nor happy, 4= somewhat happy, 5= very happy. The following four factors are the independent variables: highest year of school completed, respondent’s age, number of children of the respondent, and total family income. The researcher acquired data from 1,457 randomly selected Americans and ran a multiple regression. The regression results are presented below:

 

 

 

Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.215a

.046

.043

.72476

a. Predictors: (Constant), TOTAL FAMILY INCOME, AGE OF RESPONDENT, NUMBER OF CHILDREN, SUBJECTIVE CLASS IDENTIFICATION, HIGHEST YEAR OF SCHOOL COMPLETED

 

 

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

 

B

Std. Error

Beta

 

1

(Constant)

1.731

.120

 

14.414

.000

 

HIGHEST YEAR OF SCHOOL COMPLETED

-.002

.008

-.008

-.243

.808

 

AGE OF RESPONDENT

-.002

.001

-.059

-1.982

.048

 

NUMBER OF CHILDREN

.028

.014

.061

2.032

.042

 

TOTAL FAMILY INCOME

.016

.004

.125

3.934

.000

 

a. Dependent Variable: the level of happiness

 

 

 

  1. Explain in plain English what an R2 value of 0.046 means.

 

  1. At 0.05 significance level, which variables are significant. For each significant variable, write a one-sentence interpretation that details the relationship and direction between the variables. Please order your list/sentences. The first variable you interpret should be the one with greatest strength. The second variable you list should be the one with the second-greatest strength, etc. You can identify non-significant variables by writing NOT SIG. in the interpretation space.

 

  • Variable Name [____________________]. Interpretation:
  • Variable Name [____________________]. Interpretation:
  • Variable Name [____________________]. Interpretation:
  • Variable Name [____________________]. Interpretation:
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