The following data consist of observations for the weights of 10 different automobiles
(in 1000 pounds) and the corresponding fuel consumptions (gallons per 100 miles).

Weight (*x*) Fuel Consumption (*y*)

3.4 5.5

3.8 5.9

4.1 6.5

2.2 3.3

2.6 3.6

2.9 4.6

2.0 2.9

2.7 3.6

1.9 3.1

3.4 4.9

We would like to find out how *y* is correlated to *x* and whether we could represent
that correlation in a functional form valid within the range of the data.