2) As mentioned before in class, there is a negative relationship between weight and income for women professionals, demonstrated in a study by Judge and Cable (2010). The following are data similar to those obtained in the study. To simplify the weight variable, the women are classified into five categories that measure actual weight relative to height, from 1 = thinnest to (18 points) 5 = heaviest. Income figures are annual income (in thousands), rounded to the nearest $1,000. Weight (X) Income (Y) 110 73 48 58 32 79 UIH WUINUIWA 36 46 89 39 a. Compute the Pearson correlation. (8 points) b. Is the correlation statistically significant? Use a two-tailed test with a = .05. What are the null and alternative hypotheses? (2 points) Find the degrees of freedom and the critical value. (Hint: use table B.6) (2 points) Report the correlation in APA format. (2 points) C. What percentage of variance for income that is predicted from the weight of women? (Compute the value of r2.) (1 point) d. Find the regression equation for predicting income (Y) from weight (X). (5 points) e. Calculate the standard error of estimate. (3 points)