Q:

4.What is the significance of a correlation coefficient of 0.3?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.

Accepted Solution

A:
Answer:D. The points do not follow the line of fit, and the line is increasing.Step-by-step explanation:Given that correlation coefficient between two variables x and y is 0.30This implies that there is a positive relationship in other words, when x increases y increases.Since r is close to 0 than to 1, there is a weak correlation only.So all points will not lie very close to the line.There will be positive slope and hence line would be increasing.Out of the four options correct option would be that which says all points do not follow line of fit and line increasesSo option d is rightD. The points do not follow the line of fit, and the line is increasing.