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Linear Correlation 3 Notes Spring

# Linear Correlation 3 Notes Spring - Linear correlation 13...

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Unformatted text preview: Linear correlation 13 of 17 ● ● ● ● ● ● ● ● ● ● ● 5 10 15 4 6 8 10 12 r = 0.82 x1 y1 ● ● ● ● ● ● ● ● ● ● ● 5 10 15 4 6 8 10 12 r = 0.82 x2 y2 ● ● ● ● ● ● ● ● ● ● ● 5 10 15 4 6 8 10 12 r = 0.82 x3 y3 ● ● ● ● ● ● ● ● ● ● ● 5 10 15 4 6 8 10 12 r = 0.82 x4 y4 Anscombe's 4 Regression data sets Note that r is the same for all plots, but not appropriate for all! CONFIDENCE INTERVAL BELT GRAPHS Anthony Tanbakuchi MAT167 14 of 17 1.2 Linear Correlation-1.0-0.8-0.6-0.4-0.2 0.0 0.2 0.4 0.6 0.8 1.0-1.0-0.8-0.6-0.4-0.2 0.0 0.2 0.4 0.6 0.8 1.0 90% Confidence Belts For Correlation Linear Coefficient (NOTE: values for n < 25 are only rough approximations) Sample Correlation Coefficient, r Population Correlation Coefficient, ρ n = in fin ity n = 5 n = 5 n = 1 n = 1 n = 2 n = 2 n = 3 n = 3 n = 5 n = 5 n = 1 n = 1 n = 2 5 n = 2 5 n = 1 n = 1 Anthony Tanbakuchi MAT167 Linear correlation 15 of 17-1.0-0.8-0.6-0.4-0.2 0.00....
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Linear Correlation 3 Notes Spring - Linear correlation 13...

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