Unit 4-3

# Unit 4-3 - Chapter 5 Residuals, Residual Plots, &amp;...

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Chapter 5 Residuals, Residual Plots, & Influential points

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Residuals (error) - Residuals (error) - The vertical deviation between the the sum of the residuals is always always zero zero error = observed - expected y y ˆ residual - =
Residual plot Residual plot A scatterplot of the ( x , residual) pairs. Residuals can be graphed against other statistics besides x Purpose is to tell if a linear association linear association exist between the x & y variables If no pattern no pattern exists between the points in the residual plot, then the association is linear linear .

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Residuals x Residuals x Linear Linear Not linear Not linear
Age Range of Motion 35 154 24 142 40 137 31 133 28 122 25 126 26 135 16 135 14 108 20 120 21 127 30 122 One measure of the success of knee surgery is post-surgical range of motion for the knee joint following a knee dislocation. Is there a linear relationship between age & range of motion? Sketch a residual plot. Since there is no pattern in the residual plot, there is a linear relationship between age and range of motion x Residu als

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Range of Motion 35 154 24 142 40 137 31 133 28 122 25 126 26 135 16 135 14
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## This note was uploaded on 12/09/2011 for the course STATS 221 taught by Professor Nielson during the Fall '10 term at BYU.

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Unit 4-3 - Chapter 5 Residuals, Residual Plots, &amp;...

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