The following data were collected on the height (inches) and weight (pounds) of women swimmers where height is the independent variable and weight is the dependent variable.
Height (X) 68 64 62 65 66
Weight (Y) 132 108 102 115 128
a. Develop the estimated regression equation by computing the values of b0 and
b1. What do the intercept and slope of this line tell you about the relationship between height and weight?
b. If Laura's height is 63 inches, what would you estimate her weight to be?
c. If Laura's actual weight is 100 pounds, how much error did you make in estimating Laura's weight based on her height? Did you overestimate or underestimate her weight?
d. Compute the coefficient of determination (R2) of the regression and interpret it.
e. Compute the Standard error of the estimate (SEE).
f. Test for the significance of the regression at the =0.05 level of significance. (Give all the steps of the test the way we did that in the class).