ch7 - Chapter 8 Chapter 8 Regression and Correlation...

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Unformatted text preview: Chapter 8 Chapter 8 Regression and Correlation Regression and Correlation Analyses Analyses • Instructor: Prof. Wilson Tang Instructor: Prof. Wilson Tang CIVL 181 Modelling Systems with Uncertainties CIVL 181 Modelling Systems with Uncertainties Soil Strength Example Dam Soil 6 ′ 24 ′ Histogram 0.5 1.0 1.5 2.0 Depth Strength 6 8 14 14 18 20 20 24 28 30 0.28 0.58 0.50 0.83 0.71 1.01 1.29 1.50 1.29 1.59 mean std dev c.o.v. 0.957 0.446 46.7 % ( 29 Φ = < 446 . 0.957- 0.5 0.5 Y P depth) any @ fact in (or deep, 20' @ ( 29 ( 29 depth any @ constant strength Var depth strength E : Model Improved strength soil affects Depth Indeed, = ⋅ + = β α Previous Model Alternate Model A General Formulation Y is the r.v. of interest where x is the independent variable. ( 29 ( 29 constant x Y Var y' x x Y E = = + = β α (x i , y i ) α + β x i x i x y y i y ′ = α + β x ( 29 ve.- or ve be can ; error ' y- y y , x point Each i i i i + = ∴ → ( 29...
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This note was uploaded on 04/18/2009 for the course CE 408 taught by Professor Staff during the Spring '00 term at HKUST.

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ch7 - Chapter 8 Chapter 8 Regression and Correlation...

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