The weight of a car can influence the mileage that the car can obtain. A random sample of 15 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below.

X, weight	Y, mileage
3000	31.5
3500	28
3500	31.3
4500	19.5
3000	32.2
4000	23.6
3500	28
3500	32.6
1	46.9
2750	36.3
4000	23.6
4000	23.4
4000	23.1
4500	17
3500	28

a) The symbol and value of the correlation coefficient are as follows:

    Round final answer to 4 decimal places.

    Select an answer r R² ρ ŷ y p̂ X̄ p μ σ s =

    Interpret this value:

• There is a strong Select an answer positive negative Select an answer linear quadratic bell-shaped uniform relation between weight and mileage for cars.

b) The symbol and value of the coefficient of determination are as follows:

    Round final answer to 4 decimal places.

    Select an answer r R² ρ ŷ y p̂ X̄ p μ σ =

     Interpret this value:

• About % of the Select an answer mean mileage variation in mileage mean weight variation in weight Select an answer can be cannot be explained by the linear model and weight

c) Find the standard error of estimate. Round final answer to 4 decimal places.

     

     Interpret this value:

• This is the Select an answer standard deviation variance mean of the residuals.