Which of the following is (are) possible?
A) two correlations of .30 and .70 that have the same b
B) two correlations of .30 and .70 that have the same a
C) both descriptive alternatives are possible
D) neither of the descriptive alternatives is possible.

Question

Quizplus · Accepted Answer

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables, while "a" and "b" refer to the intercept and slope, respectively, in a linear regression equation (y = a + bx). It's possible for two datasets to have different correlation coefficients but the same slope (b) if they share a similar rate of change between the variables, or the same intercept (a) if they start from the same baseline value but differ in their rates of change or variability. Thus, both descriptive alternatives are possible.

Which of the Following Is (Are) Possible