In prediction with one predictor variable, the optimal number to use for beta (the standardized regression coefficient)is the:
A)proportionate reduction in error
B)correlation coefficient
C)sum of squared roots
D)regression constant

Question

Quizplus · Accepted Answer

The correlation coefficient (r) represents the strength and direction of the linear relationship between the predictor and the outcome variable. Beta (β) is the standardized regression coefficient and it shows the change in the outcome variable (in standard deviation units) for every one standard deviation increase in the predictor variable. Beta can be calculated by dividing the covariance between the predictor and outcome variables by the variance of the predictor variable. In simple linear regression with one predictor variable, the optimal value for beta is equal to the correlation coefficient between the predictor and outcome variables. Therefore, the best choice is B, the correlation coefficient.

In Prediction with One Predictor Variable, the Optimal Number to Use