The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation ŷ=42.39-0.52x. This line is shown in the scatter plot below. Mileage, x (in thousands) Used selling price, y (in thousands of dollars) 23.0 37.6 23.7 28.0 38.9 21.6 25.7 27.1 20.9 31.8 20.9 31.2 29.1 27.6 24.2 30.0 28.2 25.9 22.8 31.4 15.4 34.5 23.5 33.2 24.1 27.5 27.7 30.8 26.8 30.5 34.4 25.3 Send data to calculator Send data to Excel Based on the sample data and the regression line, complete the following. Used selling price (in thousands of dollars) 40- + *x*x Mileagex (in thousands) For these data, mileages that are less than the mean of the mileages tend to be paired with used selling prices that are (Choose one) the mean of the used selling prices. (b) According to the regression equation, for an increase of one thousand miles in Cadet mileage, there is a corresponding decrease of how many thousand dollars in the used selling price? ☐

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
Question
The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of
sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in
thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used.
The least-squares regression line for these data has equation ŷ=42.39-0.52x. This line is shown in the scatter plot below.
Mileage, x
(in thousands)
Used selling price, y
(in thousands of dollars)
23.0
37.6
23.7
28.0
38.9
21.6
25.7
27.1
20.9
31.8
20.9
31.2
29.1
27.6
24.2
30.0
28.2
25.9
22.8
31.4
15.4
34.5
23.5
33.2
24.1
27.5
27.7
30.8
26.8
30.5
34.4
25.3
Send data to calculator
Send data to Excel
Based on the sample data and the regression line, complete the following.
Used selling price
(in thousands of dollars)
40-
+
*x*x
Mileagex
(in thousands)
For these data, mileages that are less than the mean of the mileages tend to be paired with used selling prices that
are (Choose one) the mean of the used selling prices.
(b) According to the regression equation, for an increase of one thousand miles in Cadet mileage, there is a corresponding
decrease of how many thousand dollars in the used selling price?
☐
Transcribed Image Text:The Cadet is a popular model of sport utility vehicle, known for its relatively high resale value. The bivariate data given below were taken from a sample of sixteen Cadets, each bought new two years ago, and each sold used within the past month. For each Cadet in the sample, we have listed both the mileage x (in thousands of miles) that the Cadet had on its odometer at the time it was sold used and the price y (in thousands of dollars) at which the Cadet was sold used. The least-squares regression line for these data has equation ŷ=42.39-0.52x. This line is shown in the scatter plot below. Mileage, x (in thousands) Used selling price, y (in thousands of dollars) 23.0 37.6 23.7 28.0 38.9 21.6 25.7 27.1 20.9 31.8 20.9 31.2 29.1 27.6 24.2 30.0 28.2 25.9 22.8 31.4 15.4 34.5 23.5 33.2 24.1 27.5 27.7 30.8 26.8 30.5 34.4 25.3 Send data to calculator Send data to Excel Based on the sample data and the regression line, complete the following. Used selling price (in thousands of dollars) 40- + *x*x Mileagex (in thousands) For these data, mileages that are less than the mean of the mileages tend to be paired with used selling prices that are (Choose one) the mean of the used selling prices. (b) According to the regression equation, for an increase of one thousand miles in Cadet mileage, there is a corresponding decrease of how many thousand dollars in the used selling price? ☐
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