Common Information for Questions 4, 5, and 6 A research team sought to estimate the model E(Y) = Bo + Bx + Bw. The variable Y was the measure of the participant's depression at age 25. The variable w was the participant's depression at age 15. The variable x was the measure of the participant's socialization at age 20. They observed values of y, x, w on n = 619 participants. They found that the standard deviation of Y, where the variance estimator used division by n - 1, was 25.7; the standard deviation of x was 14.2; and the standard deviation of w was 26.7. The correlation between Y and w was 0.71; the correlation between Y and X was -0.35; and the correlation between x and w was -0.48. 4 5 Compute the partial correlation coefficients ry.w and rywex. This is worth 20 points. Is a mediation model or an explanation model a better explanation of the observed results? This question is worth 30 points. * 6 Compute the analysis of variance table for the multiple regression analysis of Y. Include the sum of squares due to the regression on x and the sum of squares due to the regression on w after including x. Test the null hypothesis that 2 = 0 against the alternative B2 0. Report whether the test is significant at the 0.10, 0.05, and 0.01 levels of significance. This question is worth 50 points. End of application of common information