Question

What is the significance of a correlation coefficient of
−0. 97?
a. The points all lie very close to the line of fit, and the
line is decreasing.
b. The points all lie very close to the line of fit, and the
line is increasing.
c. The points do not follow the line of fit and, the line is
decreasing.
d. The points do not follow the line of fit, and the line is
increasing

Answer 1

is it a or c

Answer 2

d. The points do not follow the line of fit, and the line is increasing

Answer 3

Apologies for the confusion. The correct answer is:

a. The points all lie very close to the line of fit, and the line is decreasing.

A correlation coefficient of -0.97 indicates a strong negative linear relationship between the variables. The points in the scatterplot closely follow the line of fit, indicating that the relationship is highly consistent. Additionally, the negative sign indicates that as one variable increases, the other variable tends to decrease. The line of fit is decreasing, indicating the direction of the relationship. So, option a is the correct answer.