Which of the following are measures of the linear relationship between two variables?
A)The covariance
B)The coefficient of correlation
C)The variance
D)Both a and b

Question

Quizplus · Accepted Answer

The covariance (option A) is a measure of the joint variability of two random variables. While it tells us whether the variables increase or decrease together (positive covariance) or move in opposite directions (negative covariance), it does not provide a measure of the strength of the relationship between them.

The coefficient of correlation (option B) is a standardized measure of the linear relationship between two variables. It quantifies the degree to which the two variables are related, with values ranging from -1 (perfect negative correlation) to 1 (perfect positive correlation).

The variance (option C) is a measure of how spread out a distribution of values is, calculated as the average of the squared differences from the mean. It is not specifically related to the linear relationship between two variables.

Therefore, the best choices are options A and B, as they both provide information about the linear relationship between two variables.

Which of the Following Are Measures of the Linear Relationship