252x0631 11 28 06 Page layout view ECO252 QBA2 THIRD HOUR EXAM Nov 30 and Dec 1 2006 Name Hour of Class Registered Circle MWF 1 MWF 2 TR 12 30 TR 2 I 8 points Do all the following 2points each unless noted otherwise Make Diagrams Show your work x N 15 9 3 1 P x 20 2 P 0 x 14 3 P 16 x 16 4 x 42 Find z 42 first 1 252x0631 11 28 06 Page layout view II 22 points Do all the following 2points each unless noted otherwise Do not answer question yes or no without giving reasons Show your work in questions that are not multiple choice Look them over first The exam is normed on 50 points Note the following 1 This test is normed on 50 points but there are more points possible including the take home You are unlikely to finish the exam and might want to skip some questions 2 If you answer None of the above in any question you should provide an alternative answer and explain why You may receive credit for this even if you are wrong 3 Use a 5 significance level unless the question says otherwise 4 Read problems carefully A problem that looks like a problem on another exam may be quite different 1 Turn in your computer problems 2 and 3 marked to show the following 5 points 2 point penalty for not doing a In computer problem 2 what is tested and what are the results b In computer problem 3 what coefficients are significant What is your evidence c In the last graph in computer problem 3 where is the regression line 5 2 Abronovic The distance that a baseball travels after being hit is a function of the velocity in mph of the pitched ball A ball is pitched to a batter with a 35 inch 32 oz bat that is swung at 70mph from the waist and at an angle of 35 The experiment is repeated 9 times A partial Minitab printout appears below Use 01 throughout this problem DIST Predictor Constant VELOC s 1 185 VELOC Coef StDev t ratio p 31 311 0 999 0 74667 0 01529 R sq Rsq adj Analysis of Variance SOURCE DF SS Regression 1 3345 1 Error 7 9 8 Total 8 3354 9 a MS 3345 1 1 4 F p The fastest pitchers can throw at about 100 mph How far will such a pitch be hit 2 b What is the value of R squared 2 are c Fill in the F space in the ANOVA and explain specifically what is tested and what the conclusions 3 d Is the constant 31 311 significant Why 2 14 2 252x0631 11 28 06 Page layout view 3 Render A firm renovates homes in upstate New York Sales and payroll for the region for a random sample of years are given below Sales are in 100 000 and Payroll is in 0 1 billions Current sales are 210000 00 and because of the opening of several new plants payroll is anticipated to be about 0 6 billion dollars for the foreseeable future Will average sales be significantly different from current sales To answer this question a Complete the XY column 1 b Find the regression equation 4 c Find an appropriate interval for sales 3 d State and justify your conclusion 2 24 Y Sales 2 0 3 0 2 5 2 0 2 0 3 5 15 0 X Payroll 1 3 4 2 1 7 18 X2 1 9 16 4 1 49 80 Y2 4 9 6 25 4 4 12 25 39 50 XY 3 252x0631 11 28 06 Page layout view 4 The following data may look familiar It is the service method data from the last exam 11 service methods were tried to see which is the fastest I ran a multiple comparison of the 11 methods Data were stacked as time in column 12 with the column labels tel in column 13 This was run on Minitab in three different ways as a one way ANOVA using the Kruskal Wallis test and using the Mood median test I have no idea how to do a Mood median test but I know this much The null hypothesis is equal medians The assumptions are comparable to the Kruskal Wallis test The Mood median test is less powerful than the Kruskal Wallis test but is less affected by outliers The Mood median test produces a chi squared statistic with degrees of freedom equal to the number of columns less 1 Row 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 9 3 9 2 6 3 1 3 9 2 6 3 3 3 0 3 5 3 1 3 2 2 4 4 0 4 3 2 2 8 2 6 2 6 2 9 2 9 2 8 2 3 2 4 2 0 2 5 2 4 2 0 4 1 4 3 3 2 6 2 7 3 2 2 8 3 6 2 1 2 3 2 6 2 6 2 9 2 4 2 3 0 5 4 7 4 7 7 2 9 4 3 2 7 3 4 4 4 5 5 3 4 3 4 3 5 4 0 3 4 4 1 3 8 5 2 4 13 4 5 8 1 5 9 8 2 7 2 7 4 5 2 3 5 8 4 8 4 2 5 8 6 1 6 6 6 3 7 9 7 1 9 10 1 4 5 2 9 9 9 3 0 31 5 3 5 5 3 9 8 5 3 7 3 5 8 4 4 3 3 3 11 9 3 7 3 0 2 9 3 6 5 4 4 4 3 0 4 3 5 4 8 3 4 8 3 4 2 3 2 11 0 3 6 2 9 2 8 3 5 5 3 4 3 2 9 4 2 5 3 9 3 5 3 4 3 8 3 4 3 6 3 5 4 8 3 5 5 3 3 7 3 4 3 6 3 8 3 8 10 2 3 6 9 3 3 5 3 3 0 3 3 6 1 3 1 2 6 4 4 15 0 6 9 2 1 10 4 11 3 4 4 4 3 1 3 6 4 4 3 1 3 8 3 5 4 0 3 6 3 7 2 9 4 5 4 8 The edited Minitab output follows Note that the p values are missing and for you to think about Results for 252x06031 01 MTW MTB Name c72 RESI1 Residuals are stored for Normality test MTB Oneway c12 c13 SUBC Residuals RESI1 SUBC GNormalplot SUBC NoDGraphs One way ANOVA time versus tel Source DF SS MS F P tel 10 284 43 28 44 Error 143 1228 86 8 59 Total 153 1513 28 S 2 931 R Sq 18 80 R Sq adj 13 12 Level tel 1 tel 10 …
View Full Document
Unlocking...