(a) Develop an estimated multiple regression equation with x = rarity rating and x2  as the two independent variables. (Round b0 and b1 to the nearest integer and b2 to one decimal place.) (b) Consider the nonlinear relationship shown by equation (16.7): E(y) = β0β1x Use logarithms to develop an estimated regression equation for this model. (Round b0 to three decimal places and b1 to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A statistical program is recommended.
Car manufacturers produced a variety of classic cars that continue to increase in value. Suppose the following data is based upon the Martin Rating System for Collectible Cars, and shows the rarity rating (1–20) and the high price ($1,000) for 15 classic cars.
 
Model Rating Price ($1,000)
A 14 87.0
B 13 95.0
C 18 1,025.0
D 17 165.0
E 15 77.5
F 19 2,650.0
G 19 4,025.0
H 18 375.0
I 17 375.0
J 17 425.0
K 16 250.0
L 19 1,275.0
M 16 375.0
N 16 125.0
O 18 1,625.0

(a) Develop an estimated multiple regression equation with x = rarity rating and x2  as the two independent variables. (Round b0 and b1 to the nearest integer and b2 to one decimal place.)

(b) Consider the nonlinear relationship shown by equation (16.7):
E(y) = β0β1x
Use logarithms to develop an estimated regression equation for this model. (Round b0 to three decimal places and b1 to four decimal places.)
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