Choose all values of the correlation coefficient, r, that indicate a strong, but not perfect, linear association between two variables.
A r=-0.85
B. r=-0.10
C. r= 0.15
D. r=0.90
E r= 1.00

Choose all values of the correlation coefficient r that indicate a strong but not perfect linear association between two variables A r085 B r010 C r 015 D r090 class=

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Answer:

D. r = 90

A. r = -0.85

Explaination:

• r = 1 is perfect and strong.

• So r = 90 is strong but not perfect.

• Same with -0.85, but as negative.

-0.85, and 0.90 indicate a strong relationship between the two variables but not a perfect linear association between the two variables option (A) and (D) are correct.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have a value of correlation coefficients.

We know when the correlation coefficient r is 1 then we can say the relation between two variables is perfect and strong.

When the value of correlation coefficients lies between 0.8 to 1 the relation between two variables is said to be strong.

Similarly when the value of correlation coefficients lies between -0.8 to -1 the relation between two variables is said to be strong.

For the r = -0.85, this indicates a strong relationship but is not perfect.

For the r = -0.10 this indicates a weak relationship but is not perfect.

For the r = 0.15 this indicates a weak relationship but is not perfect.

For the r = 0.90 this indicates a strong relationship but is not perfect.

For the r = 1 this indicates a strong relationship and perfect.

Thus, -0.85, and 0.90 indicate a strong relationship between the two variables but not a perfect linear association between the two variables option (A) and (D) are correct.

Learn more about the correlation here:

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