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# By squaring the binomial expression [(Yi Y) (SxY /s2 x)(xi x)], show that n i=1 [(Yi Y)

ISBN: 9780321923271 41

## Solution for problem 9.6-6 Chapter 9.6

Probability and Statistical Inference | 9th Edition

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Problem 9.6-6

By squaring the binomial expression [(Yi Y) (SxY /s2 x)(xi x)], show that n i=1 [(Yi Y) (SxY /s 2 x)(xi x)]2 = n i=1 (Yi Y) 2 2 SxY s2 x n i=1 (xi x)(Yi Y) + S2 xY s4 x n i=1 (xi x) 2 equals (n 1)S2 Y (1 R2), where X1 = x1, X2 = x2, ... , Xn = xn. Hint: Replace SxY = n i=1(xix)(YiY)/(n1) by RsxSY .

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#data analysis using hamilton data to predict y data=read.csv("hamilton.csv") #wewill check the performance of first-order model m1=lm(y~x1+x2, data) summary(m1) par(mfrow=c(1,3)) plot(data[,1], m1\$res) plot(data[,2],m1\$res) plot(fitted(m1),m1\$res) #I did not observe an obvious pattern in the residual plots #we will present the partial residual plots on x1 partial=m1\$res+coef(m1)[2]*data[,1]...

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##### ISBN: 9780321923271

This full solution covers the following key subjects: . This expansive textbook survival guide covers 59 chapters, and 1476 solutions. Since the solution to 9.6-6 from 9.6 chapter was answered, more than 261 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 9.6-6 from chapter: 9.6 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The answer to “By squaring the binomial expression [(Yi Y) (SxY /s2 x)(xi x)], show that n i=1 [(Yi Y) (SxY /s 2 x)(xi x)]2 = n i=1 (Yi Y) 2 2 SxY s2 x n i=1 (xi x)(Yi Y) + S2 xY s4 x n i=1 (xi x) 2 equals (n 1)S2 Y (1 R2), where X1 = x1, X2 = x2, ... , Xn = xn. Hint: Replace SxY = n i=1(xix)(YiY)/(n1) by RsxSY .” is broken down into a number of easy to follow steps, and 74 words.

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By squaring the binomial expression [(Yi Y) (SxY /s2 x)(xi x)], show that n i=1 [(Yi Y)

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