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An engineer wants to determine how the weight of a​ car, x, affects gas​ mileage, y....

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Statistics

An engineer wants to determine how the weight of a​ car, x,affects gas​ mileage, y. The following data represent the weightsof various cars and their miles per gallon.

Car   Weight (pounds), x   Miles per Gallon,y
A   2695   26.7
B   2975   23.6
C   3260   24.9
D   3760   23.1
E   4225   20.4

a) Find the​ least-squares regression line treating weight asthe explanatory variable and miles per gallon as the responsevariable.

Write the equation for the​ least-squares regression line.

Modifying Above y with carety =__x+__

(b) Interpret the slope and​ intercept, if appropriate.

(c) Predict the miles per gallon of car B and compute theresidual. Is the miles per gallon of this car above average orbelow average for cars of this​ weight?

D) Draw the​ least-squares regression line on the scatterdiagram of the data and label the residual.

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