The Cadet is a popular model of sport utility vehicle. 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), that the Cadet had at the time it was sold used, and the price, y (in thousands of dollars), at which the Cadet was sold used. These data are shown graphically in the scatter plot in Figure 1. Mileage, x (in thousands) Used selling price, y (in thousands of dollars) 34.3 25.7 25.9 26.7 37.5 22.3 24.2 29.7 20.5 31.6 24.4 27.7 15.5 33.7 20.8 31.3 29.4 26.9 23.8 28.4 22.6 30.5 28.0 26.6 26.7 30.4 27.5 30.3 23.4 33.4 Used selling price (in thousands of dollars) Figure 1 40- 30- 25 30 35 40 Mileage (in thousands) Send data to calculator Send data to Excel The value of the sample correlation coefficient for these data is approximately -0.865. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places. (b) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. ☐
The Cadet is a popular model of sport utility vehicle. 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), that the Cadet had at the time it was sold used, and the price, y (in thousands of dollars), at which the Cadet was sold used. These data are shown graphically in the scatter plot in Figure 1. Mileage, x (in thousands) Used selling price, y (in thousands of dollars) 34.3 25.7 25.9 26.7 37.5 22.3 24.2 29.7 20.5 31.6 24.4 27.7 15.5 33.7 20.8 31.3 29.4 26.9 23.8 28.4 22.6 30.5 28.0 26.6 26.7 30.4 27.5 30.3 23.4 33.4 Used selling price (in thousands of dollars) Figure 1 40- 30- 25 30 35 40 Mileage (in thousands) Send data to calculator Send data to Excel The value of the sample correlation coefficient for these data is approximately -0.865. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) (a) What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places. (b) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. ☐
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 2CYU
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Transcribed Image Text:The Cadet is a popular model of sport utility vehicle. 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), that the Cadet had at the
time it was sold used, and the price, y (in thousands of dollars), at which the Cadet was sold used. These data are shown graphically in the scatter plot in
Figure 1.
Mileage, x
(in thousands)
Used selling
price, y
(in thousands
of dollars)
34.3
25.7
25.9
26.7
37.5
22.3
24.2
29.7
20.5
31.6
24.4
27.7
15.5
33.7
20.8
31.3
29.4
26.9
23.8
28.4
22.6
30.5
28.0
26.6
26.7
30.4
27.5
30.3
23.4
33.4
Used selling price
(in thousands of dollars)
Figure 1
40-
30-
25
30
35
40
Mileage
(in thousands)
Send data to calculator
Send data to Excel
The value of the sample correlation coefficient for these data is approximately -0.865.
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult
a list of formulas.)
(a) What is the value of the slope of the least-squares regression line for these data?
Round your answer to at least two decimal places.
(b) What is the value of the y-intercept of the least-squares regression line for these data?
Round your answer to at least two decimal places.
☐
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