see picture for graphic and questions. Explanation 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 fifteen 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 =y−41.67 - 0.49x. This line is shown in the scatter plot below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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Explanation

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 fifteen 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 =y−41.67 - 0.49x. This line is shown in the scatter plot below.

Mileage, x
(in thousands)
Used selling price, y
(in thousands of dollars)
26.8
30.6
20.5
31.9
28.1
25.5
37.8
23.3
15.4
34.4
34.4
25.4
27.8
30.2
23.1
33.6
29.4
27.8
21.0
31.3
24.3
27.9
25.9
26.8
Mileagex
(in thousands)
22.8
30.7
23.9
30.4
24.0
28.0
Send data to calculator
Send data to Excel
Used selling price
(in thousands of dollars)
Transcribed Image Text:Mileage, x (in thousands) Used selling price, y (in thousands of dollars) 26.8 30.6 20.5 31.9 28.1 25.5 37.8 23.3 15.4 34.4 34.4 25.4 27.8 30.2 23.1 33.6 29.4 27.8 21.0 31.3 24.3 27.9 25.9 26.8 Mileagex (in thousands) 22.8 30.7 23.9 30.4 24.0 28.0 Send data to calculator Send data to Excel Used selling price (in thousands of dollars)
Based on the sample data and the regression line, complete the following.
Greater thentess
than
(a) For these data, mileages that are greater than the mean of the mileages tend to be paired with used selling prices that
are (Choose one) v 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:Based on the sample data and the regression line, complete the following. Greater thentess than (a) For these data, mileages that are greater than the mean of the mileages tend to be paired with used selling prices that are (Choose one) v 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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