This problem uses the teengamb data set in the faraway package. Fit a model with gamble as the response and the other variables as predictors. (a) Predict the amount that men with average (given the data) status, income and verbal score would gamble along with an appropriate 95% confidence interval for the mean amount. (b) Repeat the prediction for men with maximal values (for this data) of status, income and verbal score. Which confidence interval is wider and why is the result expected? (c) Fit a model with sqrt(gamble) as the response but with the same predictors. Now predict the response and give a 95% prediction interval for an individual in (a). Take care to give your answer in the original units of the response.

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant. question 2(multiple choice worth 1 points) (01.03 lc) which of the following steps is included in the construction of a perpendicular line through a point on a line? connect arcs that are above and below the given line with a straightedge. connect arcs that are above the original line with a straightedge. create arcs on either side of a point that is off the given line. create a copied angle by using the first two lines as the original angle.