Chapter 11.3, Problem 19Q

The fuel economy (in miles per gallon) of an automobile can depend on a number of factors, but the table below suggests that the weight of vehicle is a very good predictor.

Model	Wight, $x$ (lbs)	Fuel usage, $y$ (mpg)
Toyota Yaris Liftback (manual)	2370	34
Toyota Yaris Sedan	2430	33
Scion $\text{xB}$ (manual)	2450	32
Honda Fit. Sport. (manual)	2495	34
Honda Fit	2535	32
Chevrolet Malibu $\left(4\text{-cyl}\text{.}\right)$	3135	24
Honda Accord $\left(4\text{-cyl}\text{.}\right)$	3195	24
Nissan Altima 2.5 S	3215	25
Toyota Camry LE $\left(4\text{-cyl}\text{.}\right)$	3280	24
BMW 325i	2460	24
Volkswagen Passt 2.0T	3465	24
Lexus IS250	3510	24

Find the 95% confidence interval for $E\left(Y|2890\right)$, where 2890 is the weight of the Honda Civic Hybrid. Does the interval include 37, the miles per gallon of the Civic?