QUESTION
Please answer the following questions based on the SPSS analyses provided.
1. A correlation analysis was conducted with 10 survey questions from the Schwarzenegger survey (q1 through q10), producing the following results:
Descriptive Statistics

Mean 
Std. Deviation 
N 
q1 
2.66 
1.529 
496 
q30 
1.44 
1.034 
473 
q32 
1.95 
1.372 
470 
q47 
1.38 
4.754 
462 
q52 
4.04 
.932 
464 
q53 
2.06 
.785 
461 
Correlations


q1 
q30 
q32 
q47 
q52 
q53 

q1 
Pearson Correlation 
1 
.492(**) 
.354(**) 
.127(**) 
.067 
.531(**) 


Sig. (2tailed) 

.000 
.000 
.006 
.153 
.000 


N 
496 
471 
468 
461 
462 
459 

q30 
Pearson Correlation 
.492(**) 
1 
.530(**) 
.281(**) 
.176(**) 
.217(**) 


Sig. (2tailed) 
.000 

.000 
.000 
.000 
.000 


N 
471 
473 
463 
450 
453 
449 

q32 
Pearson Correlation 
.354(**) 
.530(**) 
1 
.186(**) 
.126(**) 
.112(*) 


Sig. (2tailed) 
.000 
.000 

.000 
.007 
.017 


N 
468 
463 
470 
450 
454 
450 

q47 
Pearson Correlation 
.127(**) 
.281(**) 
.186(**) 
1 
.111(*) 
.061 


Sig. (2tailed) 
.006 
.000 
.000 

.019 
.196 


N 
461 
450 
450 
462 
447 
445 

q52 
Pearson Correlation 
.067 
.176(**) 
.126(**) 
.111(*) 
1 
.036 


Sig. (2tailed) 
.153 
.000 
.007 
.019 

.447 


N 
462 
453 
454 
447 
464 
457 

q53 
Pearson Correlation 
.531(**) 
.217(**) 
.112(*) 
.061 
.036 
1 


Sig. (2tailed) 
.000 
.000 
.017 
.196 
.447 



N 
459 
449 
450 
445 
457 
461 
** Correlation is significant at the 0.01 level (2tailed).
* Correlation is significant at the 0.05 level (2tailed).
1. Questions to answer (5 pts)

What two variables have the smallest linear association?

What is the relationship between q47 and q52?

Is the correlation between q1 and q52 significant?

What is the strongest association?

Is the sample size adequate to test hypotheses with these survey items?
2. A simple regression analysis produced the following results:
Descriptive Statistics

Mean 
Std. Deviation 
N 
q16 
2.27 
1.420 
479 
q3 
1.92 
1.270 
479 
Correlations


q16 
q3 

Pearson Correlation 
q16 
1.000 
.720 


q3 
.720 
1.000 

Sig. (1tailed) 
q16 
. 
.000 


q3 
.000 
. 

N 
q16 
479 
479 


q3 
479 
479 

Questions to answer (5 pts)

Is this regression model significant? Which statistic indicates this?

Is the amount of variance explained by this regression model larger or smaller than the unexplained variance? How do you know?

Does this result support the following hypothesis? How do you know?
H1: Modeling the behavior of Schwarzenegger (q3) will be positively associated with
increasing personal fitness habits (q16).

Is q3 a significant predictor of q16? How do you know?

Please write the unstandardized regression equation for this analysis below
ANSWER
Please answer the following questions based on the SPSS analyses provided.
1. A correlation analysis was conducted with 10 survey questions from the Schwarzenegger survey (q1 through q10), producing the following results:
Descriptive Statistics

Mean 
Std. Deviation 
N 
q1 
2.66 
1.529 
496 
q30 
1.44 
1.034 
473 
q32 
1.95 
1.372 
470 
q47 
1.38 
4.754 
462 
q52 
4.04 
.932 
464 
q53 
2.06 
.785 
461 
Correlations


q1 
q30 
q32 
q47 
q52 
q53 

q1 
Pearson Correlation 
1 
.492(**) 
.354(**) 
.127(**) 
.067 
.531(**) 


Sig. (2tailed) 

.000 
.000 
.006 
.153 
.000 


N 
496 
471 
468 
461 
462 
459 

q30 
Pearson Correlation 
.492(**) 
1 
.530(**) 
.281(**) 
.176(**) 
.217(**) 


Sig. (2tailed) 
.000 

.000 
.000 
.000 
.000 


N 
471 
473 
463 
450 
453 
449 

q32 
Pearson Correlation 
.354(**) 
.530(**) 
1 
.186(**) 
.126(**) 
.112(*) 


Sig. (2tailed) 
.000 
.000 

.000 
.007 
.017 


N 
468 
463 
470 
450 
454 
450 

q47 
Pearson Correlation 
.127(**) 
.281(**) 
.186(**) 
1 
.111(*) 
.061 


Sig. (2tailed) 
.006 
.000 
.000 

.019 
.196 


N 
461 
450 
450 
462 
447 
445 

q52 
Pearson Correlation 
.067 
.176(**) 
.126(**) 
.111(*) 
1 
.036 


Sig. (2tailed) 
.153 
.000 
.007 
.019 

.447 


N 
462 
453 
454 
447 
464 
457 

q53 
Pearson Correlation 
.531(**) 
.217(**) 
.112(*) 
.061 
.036 
1 


Sig. (2tailed) 
.000 
.000 
.017 
.196 
.447 



N 
459 
449 
450 
445 
457 
461 
** Correlation is significant at the 0.01 level (2tailed).
* Correlation is significant at the 0.05 level (2tailed).
1. Questions to answer

What two variables have the smallest linear association?
Ans. Q53 and q52 – Correlation value is .036

What is the relationship between q47 and q52?
Ans. Correlation value is 0.111 which is significant at 5%. It means that they have weak negative linear correlation.

Is the correlation between q1 and q52 significant?
Ans. No, since the sig. value is very high.

What is the strongest association?
Ans. Strongest correlation is between q1 and q53, also it is highly significant.

Is the sample size adequate to test hypotheses with these survey items?
Ans. Yes, any number greater than 30 is adequate.
2. A simple regression analysis produced the following results:
Descriptive Statistics

Mean 
Std. Deviation 
N 
q16 
2.27 
1.420 
479 
q3 
1.92 
1.270 
479 
Correlations


q16 
q3 

Pearson Correlation 
q16 
1.000 
.720 


q3 
.720 
1.000 

Sig. (1tailed) 
q16 
. 
.000 


q3 
.000 
. 

N 
q16 
479 
479 


q3 
479 
479 

Questions to answer (5 pts)

Is this regression model significant? Which statistic indicates this?
Ans. Yes, this model is significant. Sig. value in Anova table tells this.

Is the amount of variance explained by this regression model larger or smaller than the unexplained variance? How do you know?
Ans. Amount of variance explained is given by adjusted R square, which is just above 50%. Amount of variance explained is larger than unexplained.

Does this result support the following hypothesis? How do you know?
H1: Modeling the behavior of Schwarzenegger (q3) will be positively associated with
increasing personal fitness habits (q16).
Ans. Yes, because the coefficient of q3 is positive.

Is q3 a significant predictor of q16? How do you know?
Ans. Yes, as shown by the Sig. value in Coefficients table

Please write the unstandardized regression equation for this analysis below:
Q16 = 0.732 + 0.804*(q3)
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