MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 4, Problem 25P
The graph of the
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II Consider the following data matrix X:
X1
X2
0.5
0.4
0.2 0.5
0.5
0.5
10.3 10
10.1 10.4
10.1
10.5
What will the resulting clusters be when using the k-Means method with k = 2. In your own words, explain why this result is
indeed expected, i.e. why this clustering minimises the ESS map.
why the answer is 3 and 10?
PS
9 Two films are shown on screen A and screen B at a cinema each evening. The numbers
of people viewing the films on 12 consecutive evenings are shown in the back-to-back
stem-and-leaf diagram.
Screen A (12) Screen B (12)
8
037
34
7 6 4 0 534
74 1645678
92 71689
Key: 116|4 represents 61 viewers for A and 64 viewers for B
A second stem-and-leaf diagram (with rows of the same width as the previous diagram)
is drawn showing the total number of people viewing films at the cinema on each of
these 12 evenings. Find the least and greatest possible number of rows that this second
diagram could have.
TIP
On the evening when 30 people viewed films on screen A, there could have been as few
as 37 or as many as 79 people viewing films on screen B.
Chapter 4 Solutions
MATLAB: An Introduction with Applications
Ch. 4 - Prob. 1PCh. 4 - The altitude, h, as a function of air pressure can...Ch. 4 - Write a MATLAB program that determines the radius,...Ch. 4 - Radioactive decay can be modeled by the equation...Ch. 4 - A fuel tank is made of a half cylinder (r =14 in.)...Ch. 4 - A 300-lb garage door is being opened by pulling on...Ch. 4 - Write a MATLAB program in a script file that...Ch. 4 - The reduction of the amount of medication in the...Ch. 4 - The value of a saving account, V, after t years is...Ch. 4 - The electricity supply cables of the three houses...
Ch. 4 - Early explorers often estimated altitude by...Ch. 4 - An isosceles triangle sign is designed to have a...Ch. 4 - The angle ? at which a viewer sees the picture on...Ch. 4 - A 12-ft (144-in.) wire is cut into eight pieces...Ch. 4 - A person at point A spots a child in trouble at...Ch. 4 - The maximum stress smax at the edge of a hole...Ch. 4 - The airplane shown is flying at a constant speed...Ch. 4 - The intrinsic electrical conductivity a of a...Ch. 4 - The pressure drop ?p in pascals (Pa) for a fluid...Ch. 4 - The net heat exchange by radiation from plate 1...Ch. 4 - The equation of a circle in a plane with radius R...Ch. 4 - A truss is a structure made of members joined at...Ch. 4 - A truss is a Structure made of members joined at...Ch. 4 - The graph of the function f(x)=ax3+bx2+cx+d passes...Ch. 4 - The graph of the function f(x)=ax4+bx3+cx2+dx+e...Ch. 4 - The surface of many airfoils can be described with...Ch. 4 - During a golf match, a certain number of points...Ch. 4 - The dissolution of copper sulfide in aqueous...Ch. 4 - The heat index HI, calculated from the air...Ch. 4 - The stress intensity factor K at a crack is given...
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