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

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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PLEASE ANSWER ALL THE PARTS OF THE QUESTION( THIS IS NOT A GRADED ASSIGNMENT)

(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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