ChE253K Spring09 HWLecture07.2

# ChE253K Spring09 HWLecture07.2 - a ± b ± 6 ChE 253K...

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1 ChE 253K Lecture 07 How To Fit Data Using Linear Regression Lecture 7 -- Descriptive Statistics

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2 ChE 253K Lecture 07 Data Scatter Plot. Linear? Additive Life, hrs 0 2 1 4 2 5 3 7 4 9 0 2 4 6 8 10 0 1 2 3 4 5 Additive, qty Life, hrs Sources: Text Exercise 11.2
3 ChE 253K Lecture 07 Linear Regression Data Sheet Means X = ______ Y = ______ N = ______ Sums of Squares Sxx = ______ Syy = ______ Sxy = ______ Slope, Intercept, CofD a = ______ b = ______ r 2 = ______ StdError, α , ν , t s e = ______ α = ______ ν = _____ t = ______ Confidence Intervals a ± ______ b ± ______

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4 ChE 253K Lecture 07 Sums Of Squares Data Table 0 2 1 4 2 5 3 7 4 9 Sum 10 27 Mean 2 5.4 S xx S yy S xy i X X - i Y Y - ( 29 2 i Y Y - ( 29 2 i X X - ( 29 ( 29 i i X X Y Y - × - i X i Y
5 ChE 253K Lecture 07 Squared Sums Param’s: a, b, r 2 2 2 xy xx xy xx yy b S S a Y bX r S S S = = = - = = = Means X = 2.0 Y = 5.4 N = 5 Sums of Squares Sxx = 10.0 Syy = 29.2 Sxy = 17.0 Slope, Intercept, CofD a = ____ b = ____ r 2 = ____ StdError, α , ν , t s e = ____ α = ____ ν = ___ t = ____ Confidence Intervals

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Unformatted text preview: a ± ____ b ± ____ 6 ChE 253K Lecture 07 Param’s for Confidence Limits 2 /( 2) 2 (1 %)/ 2 e SSE Syy Sxy Sxx s SSE n v n α =-= =-= =- = =-= Means X = 2.0 Y = 5.4 N = 5 Sums of Squares Sxx = 10.0 Syy = 29.2 Sxy = 17.0 Slope,Intercept,CofD a = 2.0 b = 1.7 r 2 = 0.99 StdError, α , ν , t s e = ____ α = ____ ν = ___ t = ____ Confidence Intervals a ± ____ b ± ____ 7 ChE 253K Lecture 07 Confidence Intervals: Slope & I-cept Means X = 2.0 Y = 5.4 N = 5 Sums of Squares Sxx = 10.0 Syy = 29.2 Sxy = 17.0 Slope,Intercept,CofD a = 2.0 b = 1.7 r 2 = 0.99 StdError, α , ν , t s e = 0.10 α = 0.05 ν = 3 t = 2.353 Confidence Intervals a ± ____ b ± ____ 2 1 1 e xx e xx X a t s n S b t s S α β = ± × + = = ± × =...
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ChE253K Spring09 HWLecture07.2 - a ± b ± 6 ChE 253K...

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