LATION AND REGRESSION 7. / Economics: Entry-Level Jobs An economist is studying the job market entry-level jobs in the in Denver area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry same neighborhood. A sample of six Denver neighborhoods gave the follow- ing information (units in hundreds of jobs). 50 25 50 28 33 9 3 16 3 6 5 2 Source: Neighborhood Facts, The Piton Foundation. To find out more, visit the Piton Foundation web site. Complete parts (a) through (e), given Ex = 202, Ey = 28, Ex = 7754, Ey? = 164, Ery = 1096, and r = 0.860. (f) For a neighborhood with x = 40 jobs, how many are predicted to be entry-level jobs? 8. / Ranching: Cattle You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). The following information is based on data taken from The Merck Veterinary Manual (a reference used by many ranchers). 1 3 10 16 26 36 42 50 75 100 150 200 Complete parts (a) through (e), given Ex = 92, Ey = 617, Ex? = 2338, Ey? = 82,389, Exy = 13,642, and r ~ 0.998. (f) The calves you want to buy are 12 weeks old. What does the least-squares line predict for a healthy weight? . | Weight of Car: Miles per Gallon Do heavier cars really use more gaso- line? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer Reports (Vol. 62, No. 4). 27 44 32 47 23 30 40 19 34 24 52 13 29 17 21 14 Complete parts (a) through (e), given Ex = 299, Zy = 167, Ex2 = 11,887, Ey' = 3773, Exy = 5814, and r ~ -0.946. (f) Suppose a car weighs x = 38 (hundred pounds). What does the least- squares line forecast for y = miles per gallon? 10. | Basketball: Fouls Data for this problem are based on information from STATS Basketball Scoreboard. It is thought that basketball te