MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question d), e), f)

2. A sample of small cars was selected to attempt to use the horsepower (x) in hp of the car
to predict the fuel efficiency (y) in miles per gallon. A researcher fitted a linear regression
model.
ŷ-44.0 -0.150x
a) Interpret the slope of the regression line.
b) Find the predicted fuel efficiency for a horsepower of 150 hp?
c) If the fuel efficiency for a car of horsepower of 150hp had an actual fuel efficiency of
25mpg, what is the residual (error) for this car?
d) Calculate the correlation coefficient.
e) What is the strength of the correlation coefficient?
R²=68%
f) Interpret the y-intercept.
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Transcribed Image Text:2. A sample of small cars was selected to attempt to use the horsepower (x) in hp of the car to predict the fuel efficiency (y) in miles per gallon. A researcher fitted a linear regression model. ŷ-44.0 -0.150x a) Interpret the slope of the regression line. b) Find the predicted fuel efficiency for a horsepower of 150 hp? c) If the fuel efficiency for a car of horsepower of 150hp had an actual fuel efficiency of 25mpg, what is the residual (error) for this car? d) Calculate the correlation coefficient. e) What is the strength of the correlation coefficient? R²=68% f) Interpret the y-intercept.
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