Question

An engineer wants to determine how the weight of a​ car, x, affects gas​ mileage, y. The following data represent the weights of 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 as the explanatory variable and miles per gallon as the response variable.

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 the residual. Is the miles per gallon of this car above average or below average for cars of this​ weight?

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

Answer 1