In: Statistics and Probability
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?
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