Question

From a regression equation r² = 0.47 and the slope = 3.6. What is the linear correlation coefficient r?

Answer 1

The linear correlation coefficient, r, can be calculated using the formula: r = √(r²). Given that the coefficient of determination, r², is 0.47, the linear correlation coefficient, r, is approximately 0.6853.

Step-by-step explanation:

The linear correlation coefficient, r, can be calculated using the formula:

r = √(r²)

Given that the coefficient of determination, r², is 0.47, we can substitute this value into the formula to find the value of r:

r = √(0.47) = 0.6853

Therefore, the linear correlation coefficient, r, is approximately 0.6853.