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 pricey (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, y=42.91-0.54x. This line is shown in the scatter plot below. Mileage, x (in thousands) 28.3 29.3 34.5 23.4 15.2 27.2 24.3 21.1 37.5 23.8 24.3 21.0 38.9 26.0 28.1 23.0 Used selling price, y (in thousands of dollars) 25.9 27.9 24.9 33.5 33.9 30.8 27.3 31.7 22.5 28.9 29.6 31.4 20.7 26.2 29.9 31.2 Send data to calc... v Send data to Excel Used selling price (in thousands of dollars) 35+ 30+ 25+ 20+ Based on the sample data and the regression line, answer the following. 415 20 25 Mileage (in thousands) (a) What was the observed used selling price (in thousands of dollars) when the mileage was 15.2 thousand miles? 0 (b) From the regression equation, what is the predicted used selling price (in thousands of dollars) when the mileage is 15.2 thousand miles? Round your answer to one or more decimal places. X
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 pricey (in thousands of dollars) at which the Cadet was sold used. With the aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression line, y=42.91-0.54x. This line is shown in the scatter plot below. Mileage, x (in thousands) 28.3 29.3 34.5 23.4 15.2 27.2 24.3 21.1 37.5 23.8 24.3 21.0 38.9 26.0 28.1 23.0 Used selling price, y (in thousands of dollars) 25.9 27.9 24.9 33.5 33.9 30.8 27.3 31.7 22.5 28.9 29.6 31.4 20.7 26.2 29.9 31.2 Send data to calc... v Send data to Excel Used selling price (in thousands of dollars) 35+ 30+ 25+ 20+ Based on the sample data and the regression line, answer the following. 415 20 25 Mileage (in thousands) (a) What was the observed used selling price (in thousands of dollars) when the mileage was 15.2 thousand miles? 0 (b) From the regression equation, what is the predicted used selling price (in thousands of dollars) when the mileage is 15.2 thousand miles? Round your answer to one or more decimal places. X
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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. With the
aim of predicting the used selling price from the number of miles driven, we might examine the least-squares regression
line, y=42.91-0.54.x. This line is shown in the scatter plot below.
Mileage, x
(in thousands)
28.3
29.3
34.5
23.4
15.2
27.2
24.3
21.1
37.5
23.8
24.3
21.0
38.9
26.0
28.1
23.0
Used selling price, y
(in thousands of
dollars)
25.9
27.9
24.9
33.5
33.9
30.8
27.3
31.7
22.5
28.9
29.6
31.4
20.7
26.2
29.9
31.2
Send data to calc... ✔ Send data to Excel
Used selling price
(in thousands of dollars)
30+
25-
20-
Based on the sample data and the regression line, answer the following.
*
++
x
uris 20 25 30 35
Mileage
(in thousands)
(a) What was the observed used selling price (in thousands of dollars) when the mileage was
15.2 thousand miles?
(b) From the regression equation, what is the predicted used selling price (in thousands of
dollars) when the mileage is 15.2 thousand miles? Round your answer to one or more
decimal places.
П
X
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