522 3.56 S12 3.70 - (Download link at the end of this file) 1.1 1.2 a)

Applied Multivariate Statistical Analysis, 6e Richard Johnson, Dean Wichern (Solutions Manual All Chapters)

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1.1 1.2 a) Xl =" 4.29 51i = 4.20 .ì Chapter 1

X2 = 15.29

522 = 3.56S12 = 3.70

Scatter Plot and Marginal Dot Plots .

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15.0 ...12~5 ..I' )C 10.0 ..

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5.0. .

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xl

b) SlZ is negative

c) Xi =5.20 x2 = 12.48 sii = 3.09 S22 = 5.27 SI2 = -15.94 'i2 = -.98 Large Xl occurs with small Xz and vice versa.d)

(5.20 )

x = 12.48

( 3.09

S -n - -15.94

-15.94)

5.27

R =( 1 -.98)

-.98 1Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall 2 / 3

1.3 UJ SnJ6 : -~::J L (synetric) 2 .x = - 1.4 a) There isa positive correlation between Xl and Xi. Since sample size is small, hard to be definitive about nature of marginal distributions.However, marginal distribution of Xi appears to be skewed to the right. .The marginal distribution of Xi seems reasonably symmetrc.

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SCëtter.PJot andMarginaldøøt:~llôt!;

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25 . .20 ..

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50 100 150 200 250 300

xl b) Xi = 155.60 x2 = 14.70 sii = 82.03 S22 = 4.85 SI2 = 273.26 'i2 = .69 Large profits (X2) tend to be associated with large sales (Xi); small profits with small sales.R =

(1 .577. (synet:; c )

2

-. 40~

. 3~OJCopyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall

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