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 a b c d e weight (pounds), x 2555 2900 3330 3725 4100 miles per gallon, y 21.8 20.5 19 14.2 11.6 (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.

The ecuation of the line is

y=-0.0068X+40

Step-by-step explanation:

Hello!

To solve this question we must use the least-squares regression line equation, the equation is as follows

Y=mx+b

The values of m and b are found using the formulas in the attached image

To solve then we will use a table that to organize and extract all the values of the summations.

-Sum of X values

-Sum of Y values

- Sum of the product of X and Y

-

sum of x squared

-------X------------Y ---------(X)(Y)----------x^2  

1)----2555------21,8 -----55699-----6528025  

2)----2900------20,5----59450------8410000  

3)----3330------19------- 63270-------11088900  

4)---3725------14,2------52895------13875625  

5)----4100-------11,6-------47560------16810000  

------16610-----87,1------278874-----56712550SUMATORIES

Now we use the ecuation in atached image

remember that n= number of values =5

The ecuation of the line is

y=-0.0068X+40

step-by-step explanation: