probability

QUESTION AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA A. A research team sought to estimate the model E(Y) = Bo + Box + Bzw. The variable Y was a scale measuring anti-social behavior at age 22 (with a higher number indicating greater anti- social behavior). The variable x was a measure of the participant's depression at age 18 (higher values meant greater depression); and the variable w was a measure of the participant's rebelliousness at age 15 (higher values meant greater rebelliousness). They observed values of y, x, and won n = 534 subjects. The mean and variance of Y(using n-1 as divisor) were 18.4 and 35.8 respectively. The mean and variance of x were 21.1 and 12.6 respectively. The mean and variance of w were 41.8 and 64.9 respectively. The correlation between Y and w was 0.58, the correlation between Y and x was 0.23; and the correlation between x and w was 0.39. 1. Compute the partial correlation coefficients ry, and mor. This is worth 20 points. 2. Is a mediation model or an explanation model a better explanation of the observed results? You must support your choice with results from your analyses to receive credit for this question. This question is worth 30 points. 3. 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 B2 = 0 against the alternative B2 70. 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 . QUESTION AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA A. A research team sought to estimate the model E(Y) = Bo + Box + Bzw. The variable Y was a scale measuring anti-social behavior at age 22 (with a higher number indicating greater anti- social behavior). The variable x was a measure of the participant's depression at age 18 (higher values meant greater depression); and the variable w was a measure of the participant's rebelliousness at age 15 (higher values meant greater rebelliousness). They observed values of y, x, and won n = 534 subjects. The mean and variance of Y(using n-1 as divisor) were 18.4 and 35.8 respectively. The mean and variance of x were 21.1 and 12.6 respectively. The mean and variance of w were 41.8 and 64.9 respectively. The correlation between Y and w was 0.58, the correlation between Y and x was 0.23; and the correlation between x and w was 0.39. 1. Compute the partial correlation coefficients ry, and mor. This is worth 20 points. 2. Is a mediation model or an explanation model a better explanation of the observed results? You must support your choice with results from your analyses to receive credit for this question. This question is worth 30 points. 3. 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 B2 = 0 against the alternative B2 70. 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