Question

What is the coefficient of determination for two variables that have perfect positive linear correlation or perfect negative linear​ correlation? Interpret your answer.

Answer 1

Answer:

r^2 = 1

Step-by-step explanation:

The computation of the  coefficient of determination for the two variables is shown below:

here the perfect positive linear correlation is r = 1

And, the negative linear correlation is r = -1

Based on this, the coefficient of determination is equivalent to the linear correlation coefficient square

$r^2 = (\pm)^2 \\\\ = 1$

This above describes that variation that lies between the variables as explained by the linear regression line