Question

Which of the statement about the correlation coefficient is true?

A) when r = 1, there is a chase and effect relationship between the variables
B) when r = 0, there is no relationship between the variables
C) when r = .2, there is likely a non- linear relationship for the variables
D) when r = .3, there is a weak linear relationship between relationship between the variables

Answer 1

The correct statement is (B).

Explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.

Positive correlation is an association amid two variables in which both variables change in the same direction.

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

A correlation coefficient of 0 implies that there is no relationship between the two variables.

Thus, the correct statement is (B).