Problem 12 in Chapter 15 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 = -359.

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 α = .05 to evaluate the F-ratio.