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The coefficient of determination in a simple linear regression model is 64%. What is the correlation level between the dependent and independent variables, assuming a negative relationship between them

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Answer: -0.64

Explanation:

We know that the coefficient of determination in a simple linear regression model is denoted by
r^2, which gives the proportion of the variance in the dependent variable that is predictable from the independent variable.

Given, the coefficient of determination in a simple linear regression model is 64%.

i.e.


r^2= 0.64\\\\\Rightarrow\ r=√(0.64)=\pm 0.64

As there is negative relation between the dependent and independent variables.

Then, the correlation coefficient = -0.64

User Brook Jordan
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