Suppose the Pearson correlation coefficient (r) is .30 and the significance level is .06 for the relationship between political trust and age. Which of the following is a correct interpretation?
A. There is no relationship between political trust and age.
B. The independent variable age explains 30 of the variation in the dependent variable political trust.
C. By knowing the independent variable age, we can reduce the number of errors in predicting the dependent variable political trust by 30.
D. The independent variable age explains 9 of the variation in the dependent variable political trust.
Question 2
Suppose the Pearson correlation coefficient (r) for the relationship between political tolerance and education were .40 and the significance level is .007. Which of the statements below is the correct interpretation of the degree of relationship here?
A. By knowing the independent variable education, we can reduce the number of errors in predicting the dependent variable political tolerance by .7.
B. By knowing the independent variable education, we can reduce the number of errors in predicting the dependent variable political tolerance by 40.
C. The independent variable education explains 16 of the variation in the dependent variable political tolerance.
D. The independent variable education explains 40 of the variation in the dependent variable political tolerance.
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Correlation Coefficient, r (Chart)