6. A study was conducted to investigate the effect of vehicle weight on gas mileage. The following random sample was collected where x is the weight of a vehicle in pounds and y is the miles per gallon. a. b. x (pounds) y (mpg) C. 2600 22.0 Refer to your EXCEL homework file. Write a sentence interpreting the value of the slope of the regression line. If a vehicle weighs 4000 pounds, what does the least-squares line predict for the miles per gallon? (Show your calculations.) Is this interpolation or extrapolation? Explain. d. 3500 16.1 2900 3900 18.8 15.7 2000 23.4 What does the correlation coefficient tell us about the relationship between weight and gas mileage? Give a brief explanation of the meaning of the coefficient of determination in the context of this problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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Disregard refer to excel homework file
6. A study was conducted to investigate the effect of vehicle weight on gas mileage. The
following random sample was collected where x is the weight of a vehicle in pounds and
y is the miles per gallon.
a.
Refer to your EXCEL homework file.
b.
x (pounds)
y (mpg)
C.
2600
22.0
d.
3500
16.1
2900 3900
18.8
15.7
2000
23.4
Write a sentence interpreting the value of the slope of the regression line.
If a vehicle weighs 4000 pounds, what does the least-squares line predict for the
miles per gallon? (Show your calculations.) Is this interpolation or extrapolation?
Explain.
What does the correlation coefficient tell us about the relationship between
weight and gas mileage?
Give a brief explanation of the meaning of the coefficient of determination in the
context of this problem.
I
Transcribed Image Text:6. A study was conducted to investigate the effect of vehicle weight on gas mileage. The following random sample was collected where x is the weight of a vehicle in pounds and y is the miles per gallon. a. Refer to your EXCEL homework file. b. x (pounds) y (mpg) C. 2600 22.0 d. 3500 16.1 2900 3900 18.8 15.7 2000 23.4 Write a sentence interpreting the value of the slope of the regression line. If a vehicle weighs 4000 pounds, what does the least-squares line predict for the miles per gallon? (Show your calculations.) Is this interpolation or extrapolation? Explain. What does the correlation coefficient tell us about the relationship between weight and gas mileage? Give a brief explanation of the meaning of the coefficient of determination in the context of this problem. I
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