Which of the following statements is true with respect to a simple linear regression model?
A) The regression slope coefficient is the square of the correlation coefficient.
B) The percentage of variation in the dependent variable that is explained by the independent variable can be determined by squaring the correlation coefficient.
C) It is possible that the correlation between a y and x variable might be statistically significant, but the regression slope coefficient could be determined to be zero since they measure different things.
D) The standard error of the estimate is equal to the standard error of the slope.

Question

Quizplus · Accepted Answer

B) The percentage of variation in the dependent variable that is explained by the independent variable can be determined by squaring the correlation coefficient. This is known as the coefficient of determination (R^2), which quantifies the proportion of the variance in the dependent variable that is predictable from the independent variable in a linear regression.

Which of the Following Statements Is True with Respect to a Simple