a. Write down the least-squares regression equation and interpret its slope in the context of these data. b. Using the regression model equation obtained in part (a), predict the price of a used Kia Sportage car that has been driven for 32,000 km. C. Use the information from the Excel output to test (at a 5% level of significance) whether the slope of the linear regression model is different from 0. Include the Hypothesis, Test Statistic, Decision, and Conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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Question
a.
Write down the least-squares regression equation and interpret its slope in the
context of these data.
b.
Using the regression model equation obtained in part (a), predict the price of a used Kia
Sportage car that has been driven for 32,000 km.
C.
Use the information from the Excel output to test (at a 5% level of significance) whether
the slope of the linear regression model is different from 0. Include the Hypothesis, Test
Statistic, Decision, and Conclusion.
Transcribed Image Text:a. Write down the least-squares regression equation and interpret its slope in the context of these data. b. Using the regression model equation obtained in part (a), predict the price of a used Kia Sportage car that has been driven for 32,000 km. C. Use the information from the Excel output to test (at a 5% level of significance) whether the slope of the linear regression model is different from 0. Include the Hypothesis, Test Statistic, Decision, and Conclusion.
An important factor for used car buyers when determining the value of a car is how far the car has
been driven. To examine this, a used car dealer randomly selects 50 five-year-old Kia Sportage cars
that have been sold at auction during the past month. Each car was in top condition and equipped
with automatic transmission, GPS and air conditioning.
The following Microsoft Excel output analysis of these data shows the price ($'000) and the number
of kilometres ('000Km) on the odometer.
Use these results to answer the questions on the next page.
Distance Versus Price of Used Kia Sportage
35
30
25
30
40
50
60
70
80
90
Distance ('000km)
Regression Statistics
t Stat
P-value
15.82319 3.51E-15
2.563823
0.04773 -9.61369 3.28E-10
Price ($'000)
10
5
0
20
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
Intercept
Distance
0.879723
0.773913
0.765539
3.460695
29
Coefficients Standard Error
40.56784
-0.45886
Transcribed Image Text:An important factor for used car buyers when determining the value of a car is how far the car has been driven. To examine this, a used car dealer randomly selects 50 five-year-old Kia Sportage cars that have been sold at auction during the past month. Each car was in top condition and equipped with automatic transmission, GPS and air conditioning. The following Microsoft Excel output analysis of these data shows the price ($'000) and the number of kilometres ('000Km) on the odometer. Use these results to answer the questions on the next page. Distance Versus Price of Used Kia Sportage 35 30 25 30 40 50 60 70 80 90 Distance ('000km) Regression Statistics t Stat P-value 15.82319 3.51E-15 2.563823 0.04773 -9.61369 3.28E-10 Price ($'000) 10 5 0 20 Multiple R R Square Adjusted R Square Standard Error Observations Intercept Distance 0.879723 0.773913 0.765539 3.460695 29 Coefficients Standard Error 40.56784 -0.45886
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