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...

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Extracted 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. Complete parts (a) through (d) below. Click here to view the car data. Click here to view the table of critical values of the correlation coefficient. (a) Determine which variable is the likely explanatory variable and which is the likely response variable. Choose the correct answer below. The explanatory variable is the weight and the response variable is the miles per gallon. O The explanatory variable is the miles per gallon and the response variable is the weight. Question Viewer (b) Draw a scatter diagram of the data. Choose the correct graph below. O B. OD. O A. С. 31- 4100- 31- 4100- 23 3300- 23- 3300- 15+ 2500 3300 Weight (Ibs) 25001 15 Miles per Gallon 157 2500 2500 15 Miles per Gallon 4100 23 31 3300 4100 23 31 Weight (Ibs) (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. (Round to three decimal places as needed.) (d) Comment on the type of relation that appears to exist between the weight of a car and its miles per gallon based on the scatter diagram and the linear correlation coefficient. The variables weight of a car and its miles per gallon are associated because r is and the absolute value of the correlation coefficient is than the critical value (Round to three decimal places as needed.) Statcrunch Next Miles per Gallon Weight (Ibs) Miles per Gallon Weight (Ibs)


Extracted 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. Complete parts (a) through (d) below. Click her Click her Critical values for the correlation coefficient (a) Deter the correct answ - X The Critical Values for Correlation Coefficient Car data The 3 0.997 (b) Draw Car Miles per Weight (Ibs) 3,765 3,944 3,530 3,175 2,580 3,730 2,605 3,772 3,310 2,991 2,752 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 Gallon Car 1 19 O A. Car 2 17 Car 3 21 Car 4 22 Question Viewer Car 5 27 Car 6 18 Car 7 26 Car 8 17 Car 9 20 15 23 Miles per Gallon 31 Car 10 25 Car 11 26 (c) Com r= (Round Print Done (d) Com sed on the scatt The vari e absolute value (Round