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Car Weight (Ibs) Miles per Gallon e Car 1 3,775 21 Car 2 3,944 17 Car 3 3,470 21 Car 4 3,175 22 Car 5 2,580 27 Car 6 3,730 18 Car 7 2,605 26 Car 8 3,772 17 Car 9 3,310 20 Car 10 2,991 25 Car 11 2,752 26

Car Weight (Ibs) Miles per Gallon e Car 1 3,775 21 Car 2 3,944 17 Car 3 3,470 21 Car 4 3,175 22 Car 5 2,580 27 Car 6 3,730 18 Car 7 2,605 26 Car 8 3,772 17 Car 9 3,310 20 Car 10 2,991 25 Car 11 2,752 26

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 72E
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i Weights and Gas Mileages - X Car Weight (Ibs) Miles per Gallon e Car 1 3,775 21 Car 2 3,944 17 Car 3 3,470 21 Car 4 3,175 22 Car 5 2,580 27 Car 6 3,730 18 Car 7 2,605 26 Car 8 3,772 17 Car 9 3,310 20 Car 10 2,991 25 Car 11 2,752 26 Print Done rolat
Transcribed Image Text:i Weights and Gas Mileages - X Car Weight (Ibs) Miles per Gallon e Car 1 3,775 21 Car 2 3,944 17 Car 3 3,470 21 Car 4 3,175 22 Car 5 2,580 27 Car 6 3,730 18 Car 7 2,605 26 Car 8 3,772 17 Car 9 3,310 20 Car 10 2,991 25 Car 11 2,752 26 Print Done rolat
An engineer wanted to determine how the weight of a car affects gas mileage. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Suppose that we add Car 12 to the original data. Car 12 weighs 3,305 pounds and gets 19 miles per gallon. Complete parts (a) through (f) below. E Click the icon to view the data table, u DIaw uIe JcalleI Uiayram WILIT CarTZ ICIuucu. Choose the correct graph below. OA. OB. OC. OD. 31- 31- 23- 23- 3300 4100 Weight (Ibs) 3300 4100 2500 3300 4100 Weight (Ibs) 2500 2500 2500 3300 4100 Weight (Ibs) Weight (Ibs) (b) Compute the linear correlation coefficient with Car 12 included, The linear correlation coefficient with Car 12 included is r= (Round to three decimal places as needed.) (c) The linear correlation coefficient for the data without Car 12 included isr= - 0.946, Compare the results of parts (a) and (b) to the scatter diagram and linear correlation coefficient without Car 12 included. Why are the results here reasonable? The absolute value of the correlation coefficient and the sign of the correlation coefficient V The results here are reasonable because Car 12 (d) Now suppose that Car 13 (a hybrid car) is added to the original data (remove Car 12). Car 13 weighs 2,890 pounds and gets 60 miles gallon. Redraw the scatter diagram with Car 13 included. O A. OB. OC. OD. 65- 65 40- 40- 40- ...... 15H 15 2500 3300 Weight (Ibs) 15 T 4100 2500 3300 Weight (Ibs) 2500 4100 2500 4100 3300 4100 Weight (Ibs) 3300 Weight (Ibs) (e) Recompute the linear correlation coefficient with Car 13 included. How did this new value affect your result? The linear correlation coefficient with Car 13 included is r=. The absolute value of the correlation coefficient and the sign of the correlation coefficient Click to select your answer(s). Miles per Gal Miles per Gallon
Transcribed Image Text:An engineer wanted to determine how the weight of a car affects gas mileage. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Suppose that we add Car 12 to the original data. Car 12 weighs 3,305 pounds and gets 19 miles per gallon. Complete parts (a) through (f) below. E Click the icon to view the data table, u DIaw uIe JcalleI Uiayram WILIT CarTZ ICIuucu. Choose the correct graph below. OA. OB. OC. OD. 31- 31- 23- 23- 3300 4100 Weight (Ibs) 3300 4100 2500 3300 4100 Weight (Ibs) 2500 2500 2500 3300 4100 Weight (Ibs) Weight (Ibs) (b) Compute the linear correlation coefficient with Car 12 included, The linear correlation coefficient with Car 12 included is r= (Round to three decimal places as needed.) (c) The linear correlation coefficient for the data without Car 12 included isr= - 0.946, Compare the results of parts (a) and (b) to the scatter diagram and linear correlation coefficient without Car 12 included. Why are the results here reasonable? The absolute value of the correlation coefficient and the sign of the correlation coefficient V The results here are reasonable because Car 12 (d) Now suppose that Car 13 (a hybrid car) is added to the original data (remove Car 12). Car 13 weighs 2,890 pounds and gets 60 miles gallon. Redraw the scatter diagram with Car 13 included. O A. OB. OC. OD. 65- 65 40- 40- 40- ...... 15H 15 2500 3300 Weight (Ibs) 15 T 4100 2500 3300 Weight (Ibs) 2500 4100 2500 4100 3300 4100 Weight (Ibs) 3300 Weight (Ibs) (e) Recompute the linear correlation coefficient with Car 13 included. How did this new value affect your result? The linear correlation coefficient with Car 13 included is r=. The absolute value of the correlation coefficient and the sign of the correlation coefficient Click to select your answer(s). Miles per Gal Miles per Gallon
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