f Messenger | Facel X D2L Exam 1 Practice Te X D2L Exam 1 Practice T X Losing 15k netwo X A HW 4 - Math 270. X Q Content Quiz Ch X D2L Chapter Four Lect X Course Hero X X webassign.net/web/Student/Assignment-Responses/last?dep=28421681 G ABP ES 11. [-/16 Points] DETAILS BBBASICSTAT8 4.2.009.MI.S. MY NOTES PRACTICE ANOTHER Do heavier cars really use more gasoline? 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). X 27 42 31 47 23 40 34 52 32 19 26 13 29 17 21 14 In USE SALT Complete parts (a) through (e), given Ex = 296, Zy = 171, Ex2 = 11,652, Zy2 = 3997, Exy = 5868, and / 2 -0.9383. (a) Draw a scatter diagram displaying the data. 30 50 45 25 10 y (miles per gallon) y (miles per gallon) 20 35 30 15 25 25 30 35 40 45 50 15 20 25 30 O x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) 50 30 2 45 Type here to search O m Pr Ps N EN 7:41 PM 810F ~ 41 )912/15/2022f Messenger | Facel X D2L Exam 1 Practice Te X D2L Exam 1 Practice T X Losing 15k netwo X "A HW 4 - Math 270. X Q Content Quiz Ch X D2L Chapter Four Lect X *Course Hero X X -> C webassign.net/web/Student/Assignment-Responses/last?dep=28421681 G ABP ES 50 30 45 40 25 y (miles per gallon) y (miles per gallon) 35 20 30 25 15 15 20 25 30 25 30 35 40 45 50 O x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) i (b) Verify the given sums Ex, Ey, Ex2, Zy2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) EX = Ey = Ex2 = Ey2 = Exy = r = (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers to four decimal places.) = Type here to search O Pr Ps N EN 7:41 PM 810F ~ 41)912/15/2022f Messenger | Facel X D2L Exam 1 Practice Te X D2L Exam 1 Practice T X Losing 15k netwo X A HW 4 - Math 270. X Q Content Quiz Ch X D2L Chapter Four Lect X *Course Hero X X C webassign.net/web/Student/Assignment-Responses/last?dep=28421681 G ABP ES (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50 30 45 40 25 y (miles per gallon) y (miles per gallon) 35 20 30 25 15 15 20 25 30 25 30 35 40 45 50 O x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) 30 50 45 25 40 y (miles per gallon) y (miles per gallon) 35 20 30 15 25 25 30 35 40 45 50 15 20 25 30 O x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) A Type here to search O Pr PS Za EN 7:41 PM 810F ~ 1) 912/15/2022f Messenger | Facel X D2L Exam 1 Practice Te X D2L Exam 1 Practice T X Losing 15k netwo X "A HW 4 - Math 270. X Q Content Quiz Ch . X D2L Chapter Four Lect X * Course Hero X X -> C webassign.net/web/Student/Assignment-Responses/last?dep=28421681 G ABP ES 15 20 25 30 25 30 35 40 45 50 O x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) 50 30 15 25 40 y (miles per gallon) y (miles per gallon) 35 20 30 15 25 25 30 35 40 45 50 15 20 25 30 O x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) (e) Find the value of the coefficient of determination /2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for /2 to four decimal places. Round your answers for the percentages to two decimal place.) 12 = explained % unexplained % (f) Suppose a car weighs x = 45 (hundred pounds). What does the least-squares line forecast for y = miles per gallon? (Round your answer to two decimal places.) Impg Need Help? Read It Master It Type here to search O Pr Ps La G N EN 7:41 PM 810F ~ 41)912/15 /2022