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1. The Gross Horsepower of a car can influence the mileage of the car. A random sample of 32 different cars’ Gross Horsepower and mileage (Miles/gallon) is collected. From the data, suppose you got the following results:       Pearson’s correlation coefficient: -0.90       The fitted regression line: Ŷ = 30. 10 − 0. 07 X

1. The Gross Horsepower of a car can influence the mileage of the car. A random sample of 32 different cars’ Gross Horsepower and mileage (Miles/gallon) is collected. From the data, suppose you got the following results:       Pearson’s correlation coefficient: -0.90       The fitted regression line: Ŷ = 30. 10 − 0. 07 X

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. The Gross Horsepower of a car can influence the mileage of the car. A random sample of 32 different cars’ Gross Horsepower and mileage (Miles/gallon) is collected. From the data, suppose you got the following results:

      Pearson’s correlation coefficient: -0.90
      The fitted regression line: Ŷ = 30. 10 − 0. 07 X


a. Identify the Independent and dependent variable. Give a justification of your answer.

b. Interpret the value Pearson’s correlation coefficient. 
c. From the fitted regression line interpret the slope parameter. 
d. Find the value of R and comment. 

e. From the fitted model find the values of Y for given values of X as 110. How do you interpret this value?

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