Use the advertised prices for used cars of a particular model in the accompanyin
ID: 3322858 • Letter: U
Question
Use the advertised prices for used cars of a particular model in the accompanying table to create a linear model for the relationship between a car's Age and its Price. Complete parts a through g. 1- 17579 2- 14978 3- 16008 4- 13969 4- 14998 5- 14588 6- 14018 7- 11998 7- 9979 8- 11549 8- 10838 9- 10899 10- 9988 a) Find the equation of the line of regression. Price=_+(_) Age (Round to the nearest integer as needed.) b) Explain the meaning of the slope of the line. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest integer as needed.) A. The slope indicates that every $1 increase in Price increases the Age of cars of this model by _ year(s), on average. B. The slope indicates that every 1-year increase in Age decreases the Price of cars of this model by _, on average. C. The slope indicates that every 1-year increase in Age increases the Price of cars of this model by _, on average. D. The slope indicates that every $1 increase in Price decreases the Age of cars of this model by _ year(s), on average. c) Explain the meaning of the y-intercept of the line. Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest integer as needed.) A. The y-intercept indicates that every 1-year increase in Age decreases the Price of cars of this model by _, on average. B. The y-intercept indicates that every $1 increase in Price decreases the AgeAge of cars of this model by _ year(s), on average. C. The y-intercept means that a car of this model that costs $0 is _year(s) old, on average. D. The y-intercept means that a new car of this model costs _, on average. d) If you want to sell a 7-year-old car of this model, what price seems appropriate? nothing dollars (Round to the nearest dollar as needed.) e) You have a chance to buy one of two cars. They are about the same age and appear to be in equally good condition. Would you rather buy the one with a positive residual or the one with a negative residual? Explain. A. The car with a negative residual is better because its actual price is below the predicted price for its age. B. The car with a positive residual is better because its actual price is above the predicted price for its age. C. The car with a positive residual is better because its actual price is below the predicted price for its age. D. The car with a negative residual is better because its actual price is above the predicted price for its age. f) You see a "For Sale" sign on a 10-year-old car of this model stating the asking price as $8,700. What is the residual? nothing dollar(s) (Round to the nearest dollar as needed.) g) Would this regression model be useful in establishing a fair price for a 26-year-old car? Explain. A. Yes, because the predicted price is positive and close to $0. B. No, because the predicted price is $0, which does not make sense. C. No, because the predicted price is too high to be reasonable. D. No, because the predicted price is negative, which does not make sense. PLEASE SHOW WORK AND EQUATIONS! thanks!!!
Explanation / Answer
a)
a) y^ = 17280.2692 - 585.2143 * x
b) option B) 585.2143
c) D) is correct 17280.2692
d) when x = 7
y^ = 17280.2692 - 585.2143 * 7 = 13183.7691
e) The residual is the actual (observed) value minus the predicted value
buyer would want positive residual
option B) is correct
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