Listed below are the weights (in pounds) and the highway fuel consumption (mil/gal) of randomly selected cars.

Data and Scatterplot are below

Weight 3175 3450 3225 3985 2440 2500 2290

Fuel Consumption 27 29 27 24 37 34 37

Compute the correlation coefficient

Do you think there's a linear relationship between Weight and Fuel consumption? If so, what type of relationship is it? Make sure you use the critical value in your explanation.

Find the equation of the best-fit line.

If a car has a highway fuel consumption of 30 miles per gallon, how much do you expect the car to weight? SHOW your work.