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The first Batman movie was made over 50 years ago in 1966. Over the years, Batman has been played on screen by a number of actors and even by a Lego figure in the Lego Batman movies. In the original comic books, Batman was 188 centimeters tall (about 6'2") and weighed 95 kilograms (about 210 pounds). The article "50 Years of Batman on Film: How Has His Physique Changed?"+ included the heights and weights of all of the onscreen Batmen in the table below. Height (cm) Weight (kg) Batman Comic book Lego Batman Adam West Michael Keaton Val Kilmer George Clooney Christian Bale Ben Affleck 188 4 188 178 183 180 183 USE SALT 193 188 Residual 4 188 178 183 180 183 193 With x = height and y = weight, the equation of the least squares regression line is ý = -3.0112 + 0.4881x. (a) Calculate the residuals. (Round your answers to two decimal places.) Height (cm) 95 0.005 91 72 93 78 82 98

The first Batman movie was made over 50 years ago in 1966. Over the years, Batman has been played on screen by a number of actors and even by a Lego figure in the Lego Batman movies. In the original comic books, Batman was 188 centimeters tall (about 6'2") and weighed 95 kilograms (about 210 pounds). The article "50 Years of Batman on Film: How Has His Physique Changed?"+ included the heights and weights of all of the onscreen Batmen in the table below. Height (cm) Weight (kg) Batman Comic book Lego Batman Adam West Michael Keaton Val Kilmer George Clooney Christian Bale Ben Affleck 188 4 188 178 183 180 183 USE SALT 193 188 Residual 4 188 178 183 180 183 193 With x = height and y = weight, the equation of the least squares regression line is ý = -3.0112 + 0.4881x. (a) Calculate the residuals. (Round your answers to two decimal places.) Height (cm) 95 0.005 91 72 93 78 82 98

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 23A
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(b) Construct a residual plot. Are there any unusual features of the residual plot? Residual 15 Residual 15 10 5 0 -5 - 10 -15 0 Residual 15 10 5 0 -5 -10 -15 0 50 50 100 100 + 150 150 X 200 X 200 10 5 0 -5 -10 -15 0 Residual 15 r 10 5 0 -5 -10 -15 0 50 50 100 100 150 150 X 200 X 200 i (c) The observation for Lego Batman (4, 0.005) is far removed from the other values in the data set (not surprising!). Is this observation influential in determining either the slope of the least-squares line, or the intercept, or both? Justify your answer. (Round your answers to four decimal places.) This point ---Select--- influential in determining the slope. This point ---Select--- influential in determining the intercept. That point ---Select--- far removed from the other points in both the x and y directions. Removing the Lego Batman point, the equation of the least squares regression line is ý =
Transcribed Image Text:(b) Construct a residual plot. Are there any unusual features of the residual plot? Residual 15 Residual 15 10 5 0 -5 - 10 -15 0 Residual 15 10 5 0 -5 -10 -15 0 50 50 100 100 + 150 150 X 200 X 200 10 5 0 -5 -10 -15 0 Residual 15 r 10 5 0 -5 -10 -15 0 50 50 100 100 150 150 X 200 X 200 i (c) The observation for Lego Batman (4, 0.005) is far removed from the other values in the data set (not surprising!). Is this observation influential in determining either the slope of the least-squares line, or the intercept, or both? Justify your answer. (Round your answers to four decimal places.) This point ---Select--- influential in determining the slope. This point ---Select--- influential in determining the intercept. That point ---Select--- far removed from the other points in both the x and y directions. Removing the Lego Batman point, the equation of the least squares regression line is ý =
The first Batman movie was made over 50 years ago in 1966. Over the years, Batman has been played on screen by a number of actors and even by a Lego figure in the Lego Batman movies. In the original comic books, Batman was 188 centimeters tall (about 6'2") and weighed 95 kilograms (about 210 pounds). The article "50 Years of Batman on Film: How Has His Physique Changed?"+ included the heights and weights of all of the onscreen Batmen in the table below. Height (cm) Weight (kg) Batman Comic book Lego Batman Adam West Michael Keaton Val Kilmer George Clooney Christian Bale Ben Affleck 188 4 188 178 183 180 183 USE SALT 193 188 Residual 4 188 178 183 180 183 193 With x = height and y = weight, the equation of the least squares regression line is ŷ = -3.0112 + 0.4881x. (a) Calculate the residuals. (Round your answers to two decimal places.) Height (cm) 95 0.005 91 72 93 78 82 98
Transcribed Image Text:The first Batman movie was made over 50 years ago in 1966. Over the years, Batman has been played on screen by a number of actors and even by a Lego figure in the Lego Batman movies. In the original comic books, Batman was 188 centimeters tall (about 6'2") and weighed 95 kilograms (about 210 pounds). The article "50 Years of Batman on Film: How Has His Physique Changed?"+ included the heights and weights of all of the onscreen Batmen in the table below. Height (cm) Weight (kg) Batman Comic book Lego Batman Adam West Michael Keaton Val Kilmer George Clooney Christian Bale Ben Affleck 188 4 188 178 183 180 183 USE SALT 193 188 Residual 4 188 178 183 180 183 193 With x = height and y = weight, the equation of the least squares regression line is ŷ = -3.0112 + 0.4881x. (a) Calculate the residuals. (Round your answers to two decimal places.) Height (cm) 95 0.005 91 72 93 78 82 98
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