Consider the sample regression equation 100 + 10x,with an R² value of 0.81.Which of the following is the value of the sample correlation between y and ? A) −0.90 B) −0.81 C) 0.81 D) 0.90

Question

Quizplus · Accepted Answer

The sample correlation (r) is the square root of the R² value, which is 0.81. Therefore, r = sqrt(0.81) = 0.9, which means there is a strong positive correlation between y and x. The negative signs in choices A and B are incorrect because the regression equation has a positive slope. In choice C, the R² value is given, not the sample correlation.

Consider the Sample Regression Equation 100 + 10x,with an R2

Consider the Sample Regression Equation 100 + 10x,with an R²