A research team sought to estimate the model EU') = 130 + 31x + 32w. The variable Ywas 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 '71 = 657 participants. They found that the standard deviation of Y, where the variance estimator used division by n 1, was 32.4; the standard deviation of x was 13.2; and the standard deviation of w was 19.2. The correlation between 1' and to was 0.68; the correlation between 1' and x was 49.29; and the correlation between 3: and to was 43.42. 6. Is a mediation model or an explanation model a better explanation of the observed results? This question is worth 30 points. 7. Compute the analysis of variance table for the multiple regression analysis of Y. Include the sum of squares due to the regression on w and the sum of squares due to the regression on x after including w. Test the null hypothesis that , = 0 against the alternative , # 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