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

Question

Mathematics

Beckham Mccann

20 April, 09:24

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

+5

Answers (1)

Know the Answer?

Shania Cortez · Answer 1

The correct statement is (B).

Step-by-step 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).