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a) Find the least-squares regression line treating weight as the explanatory variable and miles per galon as the response variable Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fil in any answer boxes in your choice. Use the answer from part a to find this answer.) O A. For every pound added to the welght of the car, gas mileage in the city will decrease by mile(s) per galon, on average. Iit is not appropriate to interpret the y-interoept. OB. Aweightless car will get miles per galon, on average. It is not appropriate to interpret the slope. OC. For every pound added to the weight of the car, gas mleage in the city will decrease by mile(s) per gallon, on average. A weightless car will get miles per galon, on average O D. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3509 pounds and gets 18 miles per gallon. Is the miles per gallon of this car above avernge or below average for cars of this weight? The estimated average miles per galon for cars of this weight ismiles per gallon. The milee per gallon of this car is (Round to three decimal places as needed.) average for cars of thvis weight

a) Find the least-squares regression line treating weight as the explanatory variable and miles per galon as the response variable Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fil in any answer boxes in your choice. Use the answer from part a to find this answer.) O A. For every pound added to the welght of the car, gas mileage in the city will decrease by mile(s) per galon, on average. Iit is not appropriate to interpret the y-interoept. OB. Aweightless car will get miles per galon, on average. It is not appropriate to interpret the slope. OC. For every pound added to the weight of the car, gas mleage in the city will decrease by mile(s) per gallon, on average. A weightless car will get miles per galon, on average O D. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3509 pounds and gets 18 miles per gallon. Is the miles per gallon of this car above avernge or below average for cars of this weight? The estimated average miles per galon for cars of this weight ismiles per gallon. The milee per gallon of this car is (Round to three decimal places as needed.) average for cars of thvis weight

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.CR: Review Exercises
Problem 90CR
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Weight (pounds), x Miles per Gallon, y 3751 18 3899 16 2692 24 3533 20 3391 21 2908 24 3767 16 2656 23 3391 19 3710 16
Transcribed Image Text:Weight (pounds), x Miles per Gallon, y 3751 18 3899 16 2692 24 3533 20 3391 21 2908 24 3767 16 2656 23 3391 19 3710 16
Dpheer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per galon in the Complete parts (a) through (d) below. I Click here to view the weight and gas mileage data. (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the corect answer below and fil in any answer boxes in your choice (Use the answer from part a to find this answer.) O A. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. it is not appropriate to interpret the yintercept. O B. Aweightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. O C. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. A weightless car will get miles per galon, on average O D. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3509 pounds and gets 18 miles per gallon. Is the miles per galon of this car above avenage or below average for cars of this weight? The estimated average miles per gallon for cars of this weight isOmiles per gallon. The miles per galion of this car isYaverage for cars of this weight (Round to three decimal places as needed. ) (d) Would it be reasonable to use the least-squares regression line to predict the mies per galon of a hybrid gas and electric car? Why or why not? O A. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n 10. OB. No, because the hybrid is a different type of car. O C. Yes, because the hybrid is partially powered by gas. O D. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n10
Transcribed Image Text:Dpheer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per galon in the Complete parts (a) through (d) below. I Click here to view the weight and gas mileage data. (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the corect answer below and fil in any answer boxes in your choice (Use the answer from part a to find this answer.) O A. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. it is not appropriate to interpret the yintercept. O B. Aweightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. O C. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. A weightless car will get miles per galon, on average O D. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3509 pounds and gets 18 miles per gallon. Is the miles per galon of this car above avenage or below average for cars of this weight? The estimated average miles per gallon for cars of this weight isOmiles per gallon. The miles per galion of this car isYaverage for cars of this weight (Round to three decimal places as needed. ) (d) Would it be reasonable to use the least-squares regression line to predict the mies per galon of a hybrid gas and electric car? Why or why not? O A. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n 10. OB. No, because the hybrid is a different type of car. O C. Yes, because the hybrid is partially powered by gas. O D. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n10
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