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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. Suppose we would like to predict MPG based on a car's horsepower. Find the least-squares equation for the prediction. c.

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. Suppose we would like to predict MPG based on a car's horsepower. Find the least-squares equation for the prediction. c.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.2: Division Properties Of Exponents
Problem 43PPS
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Parts a,b,c please

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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