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a. Draw a scatterplot of the data. Describe the relationship between MPG and Horsepower. b. Determine the covariance and correlation coefficient (r) between MPG and Horsepower. c. Suppose we would like to predict MPG based on a car's horsepower. Find the least-squares equation for the prediction.

a. Draw a scatterplot of the data. Describe the relationship between MPG and Horsepower. b. Determine the covariance and correlation coefficient (r) between MPG and Horsepower. c. Suppose we would like to predict MPG based on a car's horsepower. Find the least-squares equation for the prediction.

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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A student would like to study the relationship between the mileage per gallon (MPG) and horsepower of some fuel efficient automobiles in a certain year. Below are the information this student collected. Answer the following questions. You can use R to answer all of these questions, no need to do by hand. Car Toyota Prius Hyundai Kona Kia Niro Honda accord Volkswagen Jetta Subaru Impreza Hyundai Elantra Honda Civic Toyota Camry Toyota Corolla MPG (y) 53 32 45 32 33 35 36 40 35 38 Horsepower (x, in hp) 121 170 140 210 158 198 134 170 215 152 a. Draw a scatterplot of the data. Describe the relationship between MPG and Horsepower. b. Determine the covariance and correlation coefficient (r) between MPG and Horsepower. c. Suppose we would like to predict MPG based on a car's horsepower. Find the least-squares equation for the prediction. d. If a car's horsepower is 180 hp, what is the predicted MPG? e. Determine the coefficient of determination (R²). Give the interpretation of this value. f. If a car's horsepower is 170 hp with MPG 39, what is the residual?
Transcribed Image Text:A student would like to study the relationship between the mileage per gallon (MPG) and horsepower of some fuel efficient automobiles in a certain year. Below are the information this student collected. Answer the following questions. You can use R to answer all of these questions, no need to do by hand. Car Toyota Prius Hyundai Kona Kia Niro Honda accord Volkswagen Jetta Subaru Impreza Hyundai Elantra Honda Civic Toyota Camry Toyota Corolla MPG (y) 53 32 45 32 33 35 36 40 35 38 Horsepower (x, in hp) 121 170 140 210 158 198 134 170 215 152 a. Draw a scatterplot of the data. Describe the relationship between MPG and Horsepower. b. Determine the covariance and correlation coefficient (r) between MPG and Horsepower. c. Suppose we would like to predict MPG based on a car's horsepower. Find the least-squares equation for the prediction. d. If a car's horsepower is 180 hp, what is the predicted MPG? e. Determine the coefficient of determination (R²). Give the interpretation of this value. f. If a car's horsepower is 170 hp with MPG 39, what is the residual?
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