A linear regression model is developed that has a slope of -2.5 and an intercept of 10. The sample coefficient of determination is 0.50. Which of the following statements is TRUE?
A. The sample correlation coefficient must be 0.250.
B. The sample correlation coefficient must be -0.707.
C. The sample correlation coefficient must be -0.250.
D. The sample correlation coefficient must be 1.00.
Answer:B
A linear regression model is developed that has a slope of -2.5 and an intercept of 10. The sample coefficient of determination is 0.50. Which of the following statements is TRUE?
A. The sample correlation coefficient must be 0.250. B. The sample correlation coefficient must be -0.707. C. The sample correlation coefficient must be -0.250. D. The sample correlation coefficient must be 1.00.