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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
New Car: Negotiating Price 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 information taken from Consumer Guide (Vol. 677). Let x be the list price (in thousands of dollars) for 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.
|
x |
32.1 |
33.5 |
36.1 |
44 |
47.8 |
|
y |
29.8 |
31.1 |
32 |
42.1 |
42.2 |
(a) Verify that Σx = 193.5, Σy = 177.2, Σx2= 7676.71, Σy2= 6432.5, Σxy = 7023.19, and r ≈ 0.977.
(b) Use a 1% level of significance to test the claim that ρ > 0.
(c) Verify that Se≈ 1.5223, a ≈ 1.4084, and b ≈ 0.8794.
(d) Find the predicted dealer invoice when the list price is x = 40(thousanddollars).
(e) Find a 95% confidence interval for y when x = 40 (thousand dollars).
(f) Use a 1% level of significance to test the claim that β > 0.
(g) Find a 90% confidence interval for β and interpret its meaning.
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