Question

Fully describe the association that would exist between variables with the given correlation coefficient.
r = 0.6578



r = 0.1648



r=-0.9875

Answer 1

Using it's concept, it is found that:

• For a correlation coefficient of r = 0.6578, a strong proportional relationship would exist between the variables.

• For a correlation coefficient of r = 0.1648, a weak proportional relationship would exist between the variables.

• For a correlation coefficient of r = -0.9875, a weak inverse proportional relationship would exist between the variables.

What is a correlation coefficient?

• It is an index that measures correlation between two variables, assuming values between -1 and 1.

• If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.

• If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.

Hence, considering the bullet-points above, the descriptions are as follows:

• For a correlation coefficient of r = 0.6578, a strong proportional relationship would exist between the variables.

• For a correlation coefficient of r = 0.1648, a weak proportional relationship would exist between the variables.

• For a correlation coefficient of r = -0.9875, a weak inverse proportional relationship would exist between the variables.

More can be learned about correlation coefficients at https://brainly.com/question/25815006