The following table shows the weights, in hundreds of pounds, for six selected cars. Also shown is the corresponding fuel efficiency, in miles per gallon (mpg), for the car in city driving.

(a) Determine the correlation coefficient between the weight of a car and the fuel efficiency.

(b) Determine whether a correlation exists at a=0.01. 

(c) Determine the equation of the line of best fit for the weight of a car and the fuel efficiency of a car.

(d) Use the equation in part (c) to estimate the fuel efficiency of a car that weighs 33 hundred pounds

Round both m and b the nearest hundredth.

Transcribed Image Text:

Weight (hundreds of pounds) Fuel efficiency (mpg) 27 31 35 32 30 23 22 20 21 24 22 30