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MAT4375 HW-#4, 1999

# MAT4375 HW-#4, 1999 - MAT4375 HW#4 1999...

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MAT4375 HW\#4, 1999 http://aix1.uottawa.ca/~mat4375/Solutions/hw4.html 1 of 3 10/2/2007 8:32 PM .9 .7 .5 .81 .63 .45 .63 .49 .35 .45 .35 .25 L = and LL = . .9 .7 .5 1 .63 .45 .63 1 .35 .45 .35 1 .19 0 0 0 .51 0 0 0 .75 L = and ρ = LL + Ψ = and Ψ = . MAT4375 HW#4, 1999 © A.R. Dabrowski, 1999 Problem 9.1 Problem 9.2 Problem 9.3 Problem 9.4 Problem 9.9 Due to html limitations, ``X- bar'' will be noted X . From the fourth edition of Johnson and Wichern Problem 9.1 Here Thus Problem 9.2 (a) From the diagonal of LL (see also line (9-6) on page 518), h 1 2 = .81, and the first factor explains 81% of the variance in the data. Similarly, h 2 2 = .49, h 3 2 = .25, (b) Using (9-5) on page 517, Corr(Z i ,F 1 ) = l i1 . Here Z 1 carries the greatest ``weight'' in nameing F 1 since it has the strongest correlation with it among the original Z i .

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MAT4375 HW-#4, 1999 - MAT4375 HW#4 1999...

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