1Car Weight and MPGMiles perWeight(pounds), xGallon, y374718393416274026360920324120290523374817267423344420378218329519 An engineer 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 gallon in the city for the most recent model year.Complete parts (a) through (d) below.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.y =x+(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.)(b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill 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 bymile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.B. For every pound added to the weight of the car, gas mileage in the city will decrease bymile(s) per gallon, on average. A weightless car will getmiles per gallon, on average.C. A weightless car will getmiles per gallon, on average. It is not appropriate to interpret the slope.O D. It is not appropriate to interpret the slope or the y-intercept.(c) A certain gas-powered car weighs 3600 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?BelowAbove(d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not?A. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 11.B. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11.C. Yes, because the hybrid is partially powered by gas.D. No, because the hybrid is a different type of car.

Regression equation is given by,

An engineer 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 gallon in the city for the most recent model year. Complete parts (a) through (d) below. E 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 two decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill 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 y-intercept. O B. 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 gallon, on average. O C. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. O D. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3600 pounds and gets 20 miles per gallon. Is the miles per gallon this car above average below average for cars of this weight? Below O Above (d) Would it be reasonable to use the least-squares regression line predict the miles per gallon of a hybrid gas and electric car? Why or why not? O A. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n= 11. O B. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 11. OC. Yes, because the hybrid is partially powered by gas O D. No, because the hybrid is a different type of car.