Homework Help is Here – Start Your Trial Now!
Math
Statistics
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year Comple parts (a) through (d) below. CITIE (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable ŷ=x+ (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) OA. For every pound added to the weight of the car, gas mileage in the city will decrease by OB. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. OC. For every pound added to the weight of the car, gas mileage in the city will decrease by OD. It is not appropriate to interpret the slope or the y-intercept mile(s) per gallon, on average. A weightless car will get miles per gallon, on average. OC. No, because a hybrid gas and electric car is a different type of car OD. Yes, because a hybrid gas and electric car is partially powered by gas. mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept (c) A certain gas-powered car weighs 3578 pounds and gets 17 miles per gallon. Is the miles per gallon of this car above average or below average for cars average for cars of this weight. The estimated average miles per gallon for cars of this weight is miles per gallon. The miles per gallon of this car is (Round to three decimal places as needed) (d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not? OA. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10. OB. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10 this weight?

An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year Comple parts (a) through (d) below. CITIE (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable ŷ=x+ (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) OA. For every pound added to the weight of the car, gas mileage in the city will decrease by OB. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. OC. For every pound added to the weight of the car, gas mileage in the city will decrease by OD. It is not appropriate to interpret the slope or the y-intercept mile(s) per gallon, on average. A weightless car will get miles per gallon, on average. OC. No, because a hybrid gas and electric car is a different type of car OD. Yes, because a hybrid gas and electric car is partially powered by gas. mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept (c) A certain gas-powered car weighs 3578 pounds and gets 17 miles per gallon. Is the miles per gallon of this car above average or below average for cars average for cars of this weight. The estimated average miles per gallon for cars of this weight is miles per gallon. The miles per gallon of this car is (Round to three decimal places as needed) (d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not? OA. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10. OB. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10 this weight?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
See similar textbooks
icon
Related questions
Question
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below. (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. ŷ=x+ X+ (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) O A. For every pound added to the weight of the car, gas mileage in the city will decrease by OB. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. OC. For every pound added to the weight of the car, gas mileage in the city will decrease by OD. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3578 pounds and gets 17 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight? miles per gallon. The miles per gallon of this car is average for cars of this weight. The estimated average miles per gallon for cars of this weight is (Round to three decimal places as needed.) (d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not? mile(s) per gallon, on average. A weightless car will get miles per gallon, on average. C. No, because a hybrid gas and electric car is a different type of car. OD. Yes, because a hybrid gas and electric car is partially powered by gas. mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept. O A. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10. OB. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10.
Transcribed Image Text:An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below. (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. ŷ=x+ X+ (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) O A. For every pound added to the weight of the car, gas mileage in the city will decrease by OB. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. OC. For every pound added to the weight of the car, gas mileage in the city will decrease by OD. It is not appropriate to interpret the slope or the y-intercept. (c) A certain gas-powered car weighs 3578 pounds and gets 17 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight? miles per gallon. The miles per gallon of this car is average for cars of this weight. The estimated average miles per gallon for cars of this weight is (Round to three decimal places as needed.) (d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not? mile(s) per gallon, on average. A weightless car will get miles per gallon, on average. C. No, because a hybrid gas and electric car is a different type of car. OD. Yes, because a hybrid gas and electric car is partially powered by gas. mile(s) per gallon, on average. It is not appropriate to interpret the y-intercept. O A. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10. OB. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10.
Car Weight and MPG Weight (pounds), x 3728 3891 2671 3469 3285 2964 3727 2700 3385 3878 Miles per Gallon, y 18 17 24 18 20 23 16 23 20 16 X
Transcribed Image Text:Car Weight and MPG Weight (pounds), x 3728 3891 2671 3469 3285 2964 3727 2700 3385 3878 Miles per Gallon, y 18 17 24 18 20 23 16 23 20 16 X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
SEE MORE TEXTBOOKS