The sample correlation coefficients for Y and X_1, Y and X_2, and X_1 and X_2 ar
ID: 3380536 • Letter: T
Question
The sample correlation coefficients for Y and X_1, Y and X_2, and X_1 and X_2 are r_yx1 = 0.7558, r_yx2 = -0.0548, and r_x1x2 = 0.1354, respectively. And the regression equation for predicting Y given X_1 and X_2 is Y^1 = 3.60X_1 + -0.10X_2 + 2908.31. What proportion of the variability in babies' birth weights is explained by the multiple regression equation? Suppose that instead you compute a regression equation to predict the baby's birth weight that uses only mother's age (X_1). The difference in the proportion of the variance in babies' birth weights explained by the multiple regression equation and that explained by a regression equation using only X_1 is 0.44.Explanation / Answer
Proportion of variablity in babies weight is explaned by multiple regression is 0.60.
proportion of variablity of the babies birth weight explained by the multiple regression equation is 0.571