ChE253K Spring09 HW04 Solutions.Rev01

ChE253K Spring09 HW04 Solutions.Rev01 - ChE 253K - Applied...

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ChE 253K -- Applied Statistics -- Homework #4 Due Wednesday, Feb 24 at Lecture or Friday, Feb 27 at CPE 1.420 1. Exercise 11.12 & 11.13 – Scatter plot and linear regression ( 6 Points. Scored for completion.) (a) Make a scatter plot. (b) Fit a straight line (c) Find the 95% limits of prediction (d) Consider the equation (e) Plot 95% confidence lines for the regression line. (f) Plot 95% limits of prediction for the data points. 2. Exercise 11.25 -- Linearized regression ( 5 Points. Scored for completion.) (a) Plot log(y) vs x to verify that it is reasonable to fit a line (b) Fit a line to log(y) vs. x. Transform (c) Use the result obtained in (b) to estimate (d) Plot the exponential curve obtained in (e) Plot two graphs of residuals 3. Open-Ended 2-D Data Analysis ( 25 Points. Scored for sound thinking.) Total: 36 Points
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1. Exercise 11.12 & 11.13 – Scatter plot and linear regression (Calc by hand, JMP and/or Excel. Solutions given by multiple means -- hand, JMP, Excel; students need only do it one way.) (a) Make a scatter plot. Is it reasonable to assume that the regression of y on x is linear. Yes, by the scatter plot and linear regression, below (b) Fit a straight line by the method of least squares using JMP. Include JMP's scatter plot and tabular output with your homework. See JMP results and Excel/Table on following page. (c) Find the 95% limits of prediction for the moisture content of the raw material when the humidity of the storage space is 40% () () ( ) 2 2 1 2 0 00 2 95% 1.00 0.95 0.05 2 0.025 ( , 2) (10,0.025) 2.228 from Appx Table 4 1.10 "Root Mean Square Error" from JMP ( ) 42 44.4 855
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ChE253K Spring09 HW04 Solutions.Rev01 - ChE 253K - Applied...

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