An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage. v. The une ory tor ine most recent m odel year. Complete parts (a) through (d) accompanying data represent the weights of various domestic cars and their miles per gallon in BEE 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 = 0.00702 * + (43.2) (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 fill in any answer boxes in your choice. answer trom 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. A weightless car will get miles p

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An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage. v. The

une ory tor ine most recent m odel year. Complete parts (a) through (d)

accompanying data represent the weights of various domestic cars and their miles per gallon in

BEE 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 = 0.00702 * + (43.2)

(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 fill in any answer boxes in your choice.
answer trom 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. A weightless car will get miles per gallon, on averag

  • 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. It is not appropriate to interpret the y-intercep
  • C. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope

D. It is not appropriate to interpret the slope

(c) A certain gas-powered car weighs 3551 pounds and gets 19 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?

The estimated average miles per gallon for this car is__ miles per gallon, this per gallon of this car is (below or above) average of cars of this weight.

 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. ​No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n10.
B. ​Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n10.
C. ​Yes, because the hybrid is partially powered by gas.
D. ​No, because the hybrid is a different type of car.

 

Data set 

weight pounds (x).          miles per gallon y
3802.                                           17
3917                                            15
2697                                           24
3557                                           20
3413                                           20
2883                                           24
3670                                           17
2612                                           24
3438                                           18
3755                                           16

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