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440 Review Sheet for M E 345 with Professor Cimbala at PSU

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This 2 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Pennsylvania State University taught by a professor in Fall. Since its upload, it has received 13 views.

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Date Created: 02/06/15
M E 345 Fall 2009 Professor John M Cimbala Today we will Do a review example problem t PDF and chisquared PDF Review the pdf module Correlation and Trends Do some example problems linear correlation Review the pdf module Regression Analysis Do some example problems regression analysis Example Estimating population mean and population standard deviation Given 20 ball bearings are pulled from the assembly line and their diameters are measured The sample mean is 256 mm and the sample standard deviation is 0240 mm a To do Estimate the population mean and its con dence interval for 98 confidence level b To do Estimate the population standard deviation and its con dence interval for 98 confidence level Solution A A to AFHS 9X7 4 1m 39 ov 97 om 5 w 0431 at J J hhg If m va 03901 3 A It S a 2 thME U 4919 0 om J quot1 035 332 A Tm r Em 2 CHINV cams 34mg Hnw 099 mm 1 6 1 L 0 S 1 l7H M 6quot 441 c A 1 k6 7 U f x I 1 0319 MM I d Example Linear correlation coef cient Given Matt measures both the shoe size and the weight of 18 football players He performs a linear regression analysis of shoe size 1 variable as a function of weight x variable He calculates rle 0582 To do To what confidence level can Matt state that a football player s shoe size is correlated with his weight Solution anquot hug e v Co ldsl 2 mm mam 6 3097 M m 39r A Mi 33 Mom Example Linear correlation coef cient Given Several measurements are taken in a wind tunnel of pressure difference as a function of distance normal to the direction of flow over a body Data point x mm AP kPa 1 0 0356 2 20 0679 Jo 3 40 0478 4 60 0564 5 80 0390 6 100 0581 a 7 150 0805 8 200 0723 a To do Calculate the linear correlation coefficient b To do To what confidence level can we state that there is a trend in the data Solution Q 8 C FE 90V 061m an 321 7 m A i 3 0659 quot 39quotlvl39 Len u 4M 41 mmwr U 6 6 37 o W 7 0M my my Example Regression Analysis Given The same pressure vs distance measurements of the previous problem To do Perform a linear regression analysis 7 plot the bestfit straight line and compare the fitted curve to the data points Solution See Excel spreadsheet 7 I will show in class how to do the regression analysis in Excel

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