The TV Show “MythBusters” puts a popular myth to the test on each episode.

For a sample of 20 people, height and weight were recorded. (a) Give the regression model for predicting a person’s height from his or her weight. In terms of these variables, explain what the slope of this model represents here.

(b) Given the model above, explain how to obtain an estimate for the variance of height

(c) Since height and weight are both quantitative, we could compute separate sample meansand standard deviations for both variables. Explain why, however, we could not useour procedure for two means to compute a confidence interval for the difference in thepopulation means µ1 − µ2.