Question

2) The scatterplot below summarizes husbands' and wives' heights in a random sample of 170 married couples in Britain, where both partners' ages are below 65 years. The regression equation is y=43.5755 +0.2863% 70- 65- Wife's height in inches 60 65 75 Husband's height (in inches) (a) Describe the relationship between the husband's height and the wife's height. Your description should include direction, form, and strength. Solution to (a): (b) Identity the slope of the regression equation, and write a sentence to interpret the exact, contextual meaning of that value. Solution to (b): (c) Identity the y.intercept of the regression equation, and write a sentence to interpret the exact, contextual meaning of that point Solution to (c): (d) Do you trust this regression equation to make fairly accurate predictions of the wife's height based on the husband's height? Explain why or why not. Solution to (d):

Answer 1

Answer a. There is strong, positive and linear relationship between husband's and wife's height. That is as the height of husband increases, the wife's height also increases and vice-versa

Answer b. Slope Coefficient= 0.2863

This means that for every one inch increase in the height of husband, the wife's height it will increase by 0.2863 inches on an average.

Answer c. Y-intercept is 43.5755

This means that if husband height is 0 inches even then the wife's height will be 43.5755 inches.

However in this context Y-intercept does not make sense since husband's height cannot be 0 inches.

Answer d. yes since the scatter plot is quite tightly packed showing good linear relationship