Question d), e), f) 2. A sample of small cars was selected to attempt to use the horsepower (x) in hp of the carto predict the fuel efficiency (y) in miles per gallon. A researcher fitted a linear regressionmodel.ŷ-44.0 -0.150xa) 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 of25mpg, 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.

Let x be the horsepower of the car. and y be the fuel efficiency in miles per gallon. A simple…

Answered: d) Calculate the correlation…

d) Calculate the correlation coefficient. e) What is the strength of the correlation coefficient? f) Interpret the y-intercept.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 4SGR

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Question

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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