Lec14 - Lecture 14 Elementary Mean Median Statistics...

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1 Lecture 14 Elementary Statistics Lecture 14 Elementary Statistics Mean Median Standard Deviation Linear Regression
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2 Lecture 14 Elementary Statistics Mean Definition of mean: n x x n i i = = 1 Example:  ozone decomposition rate at 270 K [ ] 65 . 1 48 . 1 50 . 1 56 . 1 = rates 55 . 1 = rate
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3 Lecture 14 Elementary Statistics Median [ ] 65 . 1 48 . 1 50 . 1 56 . 1 = rates 53 . 1 2 ) 56 . 1 50 . 1 ( _ _ = + = rate of median Median = half way between min  and max. Example:  ozone decomposition rate at 270 K
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4 Lecture 14 Elementary Statistics Standard deviation One definition of standard deviation. (There are others, but I prefer this one.): n x x n i i = - = 1 2 ) ( σ [ ] 65 . 1 48 . 1 50 . 1 56 . 1 = rates Example: ozone decomposition rate at 270 K 07 . 0 = Confidence in mean value: 07 . 0 55 . 1 ± = rate 55 . 1 = rate 4 ) 55 . 1 65 . 1 ( ) 55 . 1 48 . 1 ( ) 55 . 1 50 . 1 ( ) 55 . 1 56 . 1 ( 2 2 2 2 - + - + - + - =
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5 Lecture 14 Elementary Statistics 0 5 10 15 20 25 30 35 40 45 50 4 6 8 10 12 14 x y Linear Regression x y 5.1 0.6 5.9 2.5 6.5 13 8 21 9.5 25 10.5 31 12 45 data Minimize the sum of the distances  between best fit line and the data.
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6 Lecture 14 Elementary Statistics Mathematics of linear regression b mx y i + = Equation of a straight line: + - = 2 )) ( ( ) , ( b
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This note was uploaded on 02/26/2008 for the course ENGR 1 taught by Professor X during the Spring '07 term at Lehigh University .

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Lec14 - Lecture 14 Elementary Mean Median Statistics...

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