question 7

Researchers compared the heights of 30 husbands to their wives. After creating a scatter plot, they found a regression line of y = 0.4392x + 43.356, where x is the height of the wife and y is the height of the husband, both in inches. The data had a positive association with R2 = 0.0991. (In case that doesn't show up, it says R^2 = 0.0991) a) Find r. b) Interpret R^2. c) Interpret the slope of the regression line. d) Predict the height of a man whose wife is 64 inches tall. e) One of the data points was (64, 73). How far off was this from the predicted value? f) Predict the height of a woman whose husband is 72 inches tall