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 een 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 chousands), 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. se data are shown graphically in the scatter plot in Figure 1. Used selling price, y (in thousands of dollars) Mileage, x (in thousands) 27.7 26.2 34.5 25.6 23.5 28.7 26.9 30.8 39.1 22.0 37.4 23.5 23.0 33.4 24.1 28.1 24.0 29.7 25.9 26.1 29.1 27.2 Used selling price (in thous ands of dollars)

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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), 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.
These data are shown graphically in the scatter plot in Figure 1.
Used selling
price, y
(in thousands) (in thousands
of dollars)
Mileage, x
27.7
26.2
34.5
25.6
23.5
28.7
40+
26.9
30.8
39.1
22.0
35-
37.4
23.5
30-
23.0
33.4
24.1
28.1
25
24.0
29.7
20-
25.9
26.1
29.1
27.2
25
Used selling price
(in thousands of dollars)
XX
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), 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. These data are shown graphically in the scatter plot in Figure 1. Used selling price, y (in thousands) (in thousands of dollars) Mileage, x 27.7 26.2 34.5 25.6 23.5 28.7 40+ 26.9 30.8 39.1 22.0 35- 37.4 23.5 30- 23.0 33.4 24.1 28.1 25 24.0 29.7 20- 25.9 26.1 29.1 27.2 25 Used selling price (in thousands of dollars) XX
15.4
35.2
21.0
31.6
Send data to calculator
Send data to Excel
The least-squares regression line for these data has a slope of approximately -0.5.
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 y-intercept 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 sample correlation coefficient for these data?
Round your answer to at least three decimal places.
Transcribed Image Text:15.4 35.2 21.0 31.6 Send data to calculator Send data to Excel The least-squares regression line for these data has a slope of approximately -0.5. 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 y-intercept 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 sample correlation coefficient for these data? Round your answer to at least three decimal places.
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