Suppose you are interested in buying a new Lincoln Navigator or Town Car. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a...

Suppose you are interested in buying a new Lincoln Navigator or Town Car. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a salesperson approaches, you wonder what the dealer invoice price is for this model with its options. The following data are based on a random selection of these cars of different models and options. Let
y
be the dealer invoice (in thousands of dollars) for the given vehicle.

(b) Use a 10% level of significance to test the claim that ρ > 0. (Use 2 decimal places.)

(c) Verify that
S_e

≈ 1.5629,
a
≈ 2.5006, and
b
≈ 0.8551.

(e) Find a 95% confidence interval for
y
when
x
= 42 (thousand dollars). (Use 2 decimal place.)

(f) Use a 10% level of significance to test the claim that β > 0. (Use 2 decimal places.)