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

Answer 2

The coefficient of determination for two variables that have perfect positive linear correlation or perfect negative linear correlation is denoted by; r² = (±1)² = 1

The mathematical computation of the coefficient of determination for two variables that have perfect positive linear correlation can be in two forms and is as follows;

• The perfect positive linear correlation is denoted, r = 1

• The negative linear correlation is denoted, r = -1

In lieu of this, the coefficient of determination is equivalent to the square of linear correlation coefficient.

• r² = (±1)²

• r² = 1

The computation above describes that variation that lies between the variables as explained by the linear regression line.

Read more:

https://brainly.com/question/20038665