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Lecture 12_regression only - E ffe c ts o ffo o d q ua lity...

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Effe c ts  o f fo o d  q uality   (%  tannin  c o nte nt) o n   c ate rpillar g ro wth 
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Effe c ts  o f fo o d  q uality   (%  tannin  c o nte nt) o n   c ate rpillar g ro wth  Ho: Tannin content in leaves has no effect on caterpillar growth Leaves with no tannin Leaves with tannin Treatment
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Experimental growth tannin Unit 1 12 0 2 10 1 3 8 2 4 11 3 5 6 4 6 7 5 7 2 6 8 3 7 Effe c ts  o f fo o d  q uality   (%  tannin  c o nte nt) o n   c ate rpillar g ro wth 
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y = a + b x (Growth = a + b tannin)
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y = a + b x (Growth = a + b tannin)
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y = a + b x (Growth = a + b tannin) b ∆y ∆x
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y = 12 – 1.25 x b ∆y ∆x -12 8 -1.25
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y = a + b x (Growth = a + b tannin) How to estimate regression parameters? Estimate two parameters: slope and Y-intercept
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>par(mfrow=c(1,2)) >boxplot(dta$growth,ylab=“growth”) >stripchart(dta$growth,ylab=“growth”) Mean=6.9 Median=7.0
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Median=7.0 Calculate total variance for Y growth Mean growth 12 6.9 10 6.9 8 6.9 11 6.9 6 6.9 7 6.9 2 6.9 3 6.9 3 6.9 Deviation from the mean 5.1 3.1 1.1 4.1 -0.9 0.1 -4.9 -3.9 -3.9 Square deviation
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