Question

Correlation coefficient: If the correlation coefficient for a given scatterplot is r = -0.81, which of the following must be true about the relationship between the explanatory and response variable?

A) The association has a linear form.
B) The association must be positive.
C) The slope must be negative.
D) The association is weakened by outliers.

Answer 1

C. The slope must be negative.

Explanation:

The association has to be negative because if the scattetplot. is 0.81 then the relationship between the exploratory and response variable.

Answer 2

C) The slope must be negative.

Explanation:

Correlation coefficient between the explanatory variable x and the response variable y shows whether increases in x will result in an increase or decrease in y

Here correlation coefficient is r = -0.81

Since it is negative, that means the slope of least-squares regression line will be negative