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# Mt139C4 - Caution Correlation and Regression are Only for...

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MT139~4.PPT 1 Caution: Correlation and Regression are Only for Linear Relationships Always Plot Your Data and Residuals to Detect Non-Linearity 40 30 20 50 0 -50 -100 -150 x y R-Sq = 0.004 Y = 16.7972 - 0.494209X Regression Plot r = -0.06

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MT139~4.PPT 2 Caution: Outliers Can Greatly Affect Correlation and Regression Results Always Plot Your Data and Residuals to Detect Outliers 40 30 20 70 60 50 40 30 x y R-Sq = 0.134 Y = 17.7008 + 0.482838X Regression Plot r = 0.36
MT139~4.PPT 3 Caution: Do Not Make Predictions Using x Values Far Outside the Range of the Original Data 50 40 30 20 10 200 150 100 50 x y R-Sq = 0.912 Y = 28.4697 + 3.16325X Regression Plot

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MT139~4.PPT 4 Caution: Correlations Based on Averages are Usually Too High When Applied to Individuals 3000 2000 1000 1500 1000 500 0 Density Yield r = 0.73 Individual Yields 3000 2000 1000 1500 1000 500 0 Density Average Yield r = 0.96 Average Yields
MT139~4.PPT 5 Caution: A Lurking Variable is a Variable That Has an Important Effect on the Relationship Among the Variables in a Study but is Not Included Among the Variables Studied 40 35 30 25 50 40 30 20 10 0 x y R-Sq = 0.211 Y = -32.6877 + 1.78673X Regression Plot

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MT139~4.PPT
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