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##### Two STATS Problems

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Question;1. Marvin is a safety inspector at a large industrial plant that has eight divisions that dothe same type of work. He recorded the number of work-hours devoted to safetytraining and the number of work-hours lost due to industry-related accidents for each ofthe divisions last quarter. This data is in the table below.Number of work-hours in safety training921 27 42 50 55 41 35Number of work-hours lost due to accidents 73 45 68 35 35 10 12 32Marvin used this data to predict the number of work-hours lost due to accidents basedupon the number of work-hours spent in safety training using linear regression analysis.His Minitab output is given below.Marvins Minitab output:Correlations: No. of Hours Safety Training, No. of Hours Lost AccidentsPearson correlation of No. of Hours Safety Training and No. of Hours Lost Accidents = 0.824P-Value = 0.012a. State the direction of the relationship between the two variables and interpret itsmeaning in the context of this problem.b. Explain whether or not Marvins use of regression analysis to produce the equation ofthe "line of best fit" was appropriate in this situation.c. Label two points (ordered pairs) that fall on the "line of best fit" on the scatterplot.Show your workd. What would Marvin predict to be the number of work-hours lost due to accidents if 35hours are spent on safety training? Show how you arrived at your answer and interpretits meaning in the context of this problem.e. Marvins supervisor guessed that if 52 hours were spent on safety training then thenumber of work-hours lost due to accidents would be 20 hours. Explain whether or notthis guess was reasonable.f. Marvins brother Michael supervises cashiers at Wegmans Supermarkets. Whatshould Michael predict to be the number of work-hours lost by a cashier at Wegmansdue to accidents when that cashier has had 25 hours of safety training?2. The following correlation coefficients, (r values), and P-values were generated withMinitab.Each of the columns X1, X2, X3, X4, Y1, Y2, Y3, and Y4 have the same number of dataitems in them.Correlation of X1 and Y1 = - 0.998, P-value = 0.000Correlation of X2 and Y2 = 0.471, P-value = 0.169Correlation of X3 and Y3 = 0.856, P-value = 0.002Correlation of X4 and Y4 = - 0.662, P-value = 0.037Use this information to answer each question that follows.a. The strongest association is between which pair of variables?Underline one:i. X1 and Y1 ii. X2 and Y2 iii. X3 and Y3 iv. X4 and Y4b. The weakest correlation exists between which pair of variables?Underline one:i. X1 and Y1 ii. X2 and Y2 iii. X3 and Y3 iv. X4 and Y4c. The relationship between X3 and Y3 is _________?Underline one:i. positve ii. negatived. There is a stronger correlation between X4 and Y4 than between X3 and Y3?Underline one:i. true ii. falsee. For which pair would it not be appropriate to perform regression analysis to producethe equation of the "line of best fit" for the relationship, as indicated by the P-value?Underline one:i. X1 and Y1 ii. X2 and Y2 iii. X3 and Y3iv. X4 and Y4

Paper#61472 | Written in 18-Jul-2015

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