Homework Help is Here – Start Your Trial Now!
Math
Statistics
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 29 46 31 47 23 40 34 52 y 32 21 26 13 29 17 21 14 Complete parts (a) through (e) after verifying that Ex = 302, y = 173, Ex² = 12,116, Ey² = 4,077, Exy = 6,100, and r = -0.8787. (a) Draw a scatter diagram displaying the data. 50 45 30 15 20 x (weight of the car (in hundreds of pounds)) (b) Find x (in hundreds f pounds). x= hundred pounds 30 20 15 25 30 35 40 45 x (weight of the car (in hundreds of pounds)) Find y (in mpg). y= mpg Find the equation of the least-squares line ŷ = a + bx. (Round your numerical values to four decimal places.) (c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y (miles per gallon) 30 25 30 35 40 45 x(weight of the car (in hundreds of pounds)) y (miles per gallon) 45 35 25 50 15 10 (d) Find the value of the coefficient of determination 2. (Round your answer to four decimal places.) 2 = 20 25 x (weight of the car (in hundreds of pounds)) 30 50 25 00 20 What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.) % What percentage is unexplained? (Round your answer to two decimal places.) % (e) Suppose a car weighs x = 45 (hundred pounds). What does the least-squares line forecast for y = miles per gallon? (Round your answer to two decimal places.) mpg y (miles per gallon) 50 15 30 35 40 45 x (weight of the car (in hundreds of pounds)) 20 25 x (weight of the car (in hundreds of pounds)) 50 15 y (miles per gallon) 30 25 20 25 x (weight of the car (in hundreds of pounds)) 30 35 40 45 x(weight of the car (in hundreds of pounds)) 50 Q ©

Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 29 46 31 47 23 40 34 52 y 32 21 26 13 29 17 21 14 Complete parts (a) through (e) after verifying that Ex = 302, y = 173, Ex² = 12,116, Ey² = 4,077, Exy = 6,100, and r = -0.8787. (a) Draw a scatter diagram displaying the data. 50 45 30 15 20 x (weight of the car (in hundreds of pounds)) (b) Find x (in hundreds f pounds). x= hundred pounds 30 20 15 25 30 35 40 45 x (weight of the car (in hundreds of pounds)) Find y (in mpg). y= mpg Find the equation of the least-squares line ŷ = a + bx. (Round your numerical values to four decimal places.) (c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y (miles per gallon) 30 25 30 35 40 45 x(weight of the car (in hundreds of pounds)) y (miles per gallon) 45 35 25 50 15 10 (d) Find the value of the coefficient of determination 2. (Round your answer to four decimal places.) 2 = 20 25 x (weight of the car (in hundreds of pounds)) 30 50 25 00 20 What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.) % What percentage is unexplained? (Round your answer to two decimal places.) % (e) Suppose a car weighs x = 45 (hundred pounds). What does the least-squares line forecast for y = miles per gallon? (Round your answer to two decimal places.) mpg y (miles per gallon) 50 15 30 35 40 45 x (weight of the car (in hundreds of pounds)) 20 25 x (weight of the car (in hundreds of pounds)) 50 15 y (miles per gallon) 30 25 20 25 x (weight of the car (in hundreds of pounds)) 30 35 40 45 x(weight of the car (in hundreds of pounds)) 50 Q ©

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 51E
See similar textbooks
icon
Related questions
Question

Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). Complete parts (a) through (e) after verifying that Σx = 302, Σy = 173, Σx2 = 12,116, Σy2 = 4,077, Σxy = 6,100, and r ≈ −0.8787. (a) Draw a scatter diagram displaying the data. please answer ALL parts of a-e. 

Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 29 46 31 47 23 40 34 52 y 32 21 26 13 29 17 21 14 Complete parts (a) through (e) after verifying that Ex = 302, y = 173, Ex² = 12,116, Ey² = 4,077, Exy = 6,100, and r = -0.8787. (a) Draw a scatter diagram displaying the data. 50 45 30 15 20 x (weight of the car (in hundreds of pounds)) (b) Find x (in hundreds f pounds). x= hundred pounds 30 20 15 25 30 35 40 45 x (weight of the car (in hundreds of pounds)) Find y (in mpg). y= mpg Find the equation of the least-squares line ŷ = a + bx. (Round your numerical values to four decimal places.) (c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y (miles per gallon) 30 25 30 35 40 45 x(weight of the car (in hundreds of pounds)) y (miles per gallon) 45 35 25 50 15 10 (d) Find the value of the coefficient of determination 2. (Round your answer to four decimal places.) 2 = 20 25 x (weight of the car (in hundreds of pounds)) 30 50 25 00 20 What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.) % What percentage is unexplained? (Round your answer to two decimal places.) % (e) Suppose a car weighs x = 45 (hundred pounds). What does the least-squares line forecast for y = miles per gallon? (Round your answer to two decimal places.) mpg y (miles per gallon) 50 15 30 35 40 45 x (weight of the car (in hundreds of pounds)) 20 25 x (weight of the car (in hundreds of pounds)) 50 15 y (miles per gallon) 30 25 20 25 x (weight of the car (in hundreds of pounds)) 30 35 40 45 x(weight of the car (in hundreds of pounds)) 50 Q ©
Transcribed Image Text:Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 29 46 31 47 23 40 34 52 y 32 21 26 13 29 17 21 14 Complete parts (a) through (e) after verifying that Ex = 302, y = 173, Ex² = 12,116, Ey² = 4,077, Exy = 6,100, and r = -0.8787. (a) Draw a scatter diagram displaying the data. 50 45 30 15 20 x (weight of the car (in hundreds of pounds)) (b) Find x (in hundreds f pounds). x= hundred pounds 30 20 15 25 30 35 40 45 x (weight of the car (in hundreds of pounds)) Find y (in mpg). y= mpg Find the equation of the least-squares line ŷ = a + bx. (Round your numerical values to four decimal places.) (c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y (miles per gallon) 30 25 30 35 40 45 x(weight of the car (in hundreds of pounds)) y (miles per gallon) 45 35 25 50 15 10 (d) Find the value of the coefficient of determination 2. (Round your answer to four decimal places.) 2 = 20 25 x (weight of the car (in hundreds of pounds)) 30 50 25 00 20 What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.) % What percentage is unexplained? (Round your answer to two decimal places.) % (e) Suppose a car weighs x = 45 (hundred pounds). What does the least-squares line forecast for y = miles per gallon? (Round your answer to two decimal places.) mpg y (miles per gallon) 50 15 30 35 40 45 x (weight of the car (in hundreds of pounds)) 20 25 x (weight of the car (in hundreds of pounds)) 50 15 y (miles per gallon) 30 25 20 25 x (weight of the car (in hundreds of pounds)) 30 35 40 45 x(weight of the car (in hundreds of pounds)) 50 Q ©
Expert Solution
steps

Step by step

Solved in 2 steps with 5 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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
SEE MORE TEXTBOOKS