Problem 9 examined the relationship between weight and income for a sample of n = 10 women. Weights were classified in five categories and had a mean of
M = 3 with SS = 20. Income, measured in thousands, had a mean score of M = 66 with SS = 7430, and SP = 2359.
a. Find the regression equation for predicting income from weight. (Identify the income scores as X values and the weight scores as Y values.)
b. What percentage of the variance in the income is accounted for by the regression equation?
(Compute the correlation, r, then find r2.)
c. Does the regression equation account for a significant portion of the variance in income?
Use a = .05 to evaluate the F-ratio.