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.

A	B	C	D	E
2600	3070	3450	3735	4180
30.1	26.5	21	22.1	17.7

(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.

(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