1) Suppose you have accepted a summerjob as a weight guesser at the local amusement park. Magic Flag Farm. Customers pay 50 cents each, which you get to keep ifyou guess their weight within ten pounds. If you miss by more than ten pounds. then you have to give the customer a small prize that you buy from Magic Flag Farm for 60 cents each. Luckily, the friendly managers of Magic Flag Farm have arranged a number of marks on the wall behind the customer so that you are capable ofmeasuring the customer's height accurately. Unfortunately, there is a vesfoot wall between you and the customer. so you can tell little about the person except for height and (usually) gender. On your rst day on the job. you do so poorly that you work all day and actually lose two dollars. so on the second day you decide to collect data to run a regression to formally estimate the relationship between weight and height. Since most ofthe participants are male, you decide to limit your sample to males. Height above Obsenatim 5feet Weight 1 1400 2 1570 3 2050 4 1980 5 1620 6 1740 7 1500 8 1650 9 1700 10 1800 11 1700 12 1620 13 1650 14 1800 15 1600 16 1550 17 1650 18 1900 19 130 1850 20 110 1550 BUS 250 Dr. Smith Homework 7 Fall 2022 a) Write out an equation for the hypothesized relationship between height and weight. Do you expect the relationship to be positive or negative? b) Run a regression and write out the resulting regression equation. Round your estimates to 4 decimal places. Interpret each of the coefficients. c) Check the conditions for regression inference. Are they met? Can we have confidence in our inference? d) Calculate R2 and adjusted-R2. What is the difference between the two measures? How well does the regression fit the data? e) If a man was 6'5" tall, what would you guess his weight to be? f) Is there significant evidence of a significant relationship between a man's height and his weight at the 95% level of confidence? g) Is there significant evidence that for every inch over 5 feet tall in height of a man adds more than 5 pounds to his weight at the 98% level of confidence? h) Is there significant evidence the intercept is different from zero at the 95% level of confidence? i) Is there significant evidence that a man who is five feet tall weighs less than 120 pounds at the 98% level of confidence