Which of the following measures that part of the total variance of Y that we can account for by knowing the value of X?
A)product-moment correlation
B)correlation coefficient
C)F-test
D)coefficient of determination

Question

Quizplus · Accepted Answer

The coefficient of determination, also known as R-squared, measures the proportion of the variance in Y that is explained by the variance in X. It ranges between 0 and 1, with higher values indicating a stronger relationship between X and Y. This measure is more comprehensive than the product-moment correlation and correlation coefficient, which only indicate the strength and direction of the linear relationship between X and Y. The F-test is used to determine whether there is a significant difference between the variance in Y explained by the model and the variance not explained by the model, but it does not specifically measure the proportion of explained variance.

Which of the Following Measures That Part of the Total