Question

In: Statistics and Probability

Examine the Correlation Matrix for the variables in the model presented in the table below. Correlations...

Examine the Correlation Matrix for the variables in the model presented in the table below.

Correlations

Life Purpose and Satisfaction

gender

subject's age

depressed state of mind

exercise

Pearson Correlation

Life Purpose and Satisfaction

1.000

.149

.051

-.661

.307

gender

.149

1.000

-.020

-.074

.033

subject's age

.051

-.020

1.000

.016

-.097

depressed state of mind

-.661

-.074

.016

1.000

-.211

exercise

.307

.033

-.097

-.211

1.000

Sig. (1-tailed)

Life Purpose and Satisfaction

.

.001

.147

.000

.000

gender

.001

.

.339

.065

.248

subject's age

.147

.339

.

.373

.024

depressed state of mind

.000

.065

.373

.

.000

exercise

.000

.248

.024

.000

.

  • Which predictor variable has a significant negative correlation with Life Purpose and Satisfaction?

  • Which predictor variables have a significant positive correlation with Life Purpose and Satisfaction?

  • What does the value of “1.000” represent in the correlation table?

Solutions

Expert Solution

Solution:

Which predictor variable has a significant negative correlation with Life Purpose and Satisfaction?

Answer: The predictor variable "depressed state of mind" has a significant negative correlation with Life Purpose and Satisfaction. The value of the correlation between "depressed state of mind" and "Life Purpose and Satisfaction" is -0.661 and this correlation is statistically significant because the p-value is less than the significance level.

Which predictor variables have a significant positive correlation with Life Purpose and Satisfaction?

Answer: The predictor variable "exercise" has a significant positive correlation with Life Purpose and Satisfaction. The value of the correlation between "exercise" and "Life Purpose and Satisfaction" is 0.307 and this correlation is statistically significant because the p-value is less than the significance level.

What does the value of “1.000” represent in the correlation table?

Answer: The value of 1.000 represents the correlation of the variable with itself. For example for the "Life Purpose and Satisfaction", the correlation of "Life Purpose and Satisfaction" with itself is 1  


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