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601hw06 - Statistics 601 Assignment 6 due Tuesday 18...

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Statistics 601 - Assignment 6 due Tuesday, 18 October 2016 Do not turn in unedited computer output for problems worked on a computer. Cut/paste the relevant plots and/or tables and include them into your interpretation as if you were writing a technical report. Provide only material that supports your answers. 1. Sulfur dioxide (SO 2 ) pollution is a known cause for corrosion of exposed steel. To document this effect in actual conditions, steel weight loss (gm/m 3 /yr) was measured at 36 locations in a large city, along with the rate at which SO 2 was deposited (mg/m 2 /day). The data are given below ( steel.csv ). SO2 Loss SO2 Loss SO2 Loss SO2 Loss SO2 Loss SO2 Loss 22.6 580 42.7 951 33.0 990 21.0 495 33.5 813 40.4 940 26.1 563 30.4 794 14.2 551 15.8 496 30.2 770 27.9 687 19.1 339 17.9 461 37.4 856 13.7 353 20.1 556 39.4 919 17.2 346 30.4 757 16.2 443 24.7 724 22.8 557 25.1 590 25.0 623 27.8 573 27.7 802 23.7 602 39.9 1001 28.6 640 16.8 420 27.8 656 22.7 657 30.7 639 15.5 432 29.7 702 a) Obtain an estimate of the correlation between steel loss and sulfur dioxide deposition rate and interpret it. Give a 95% confidence interval for its value. (Use the method shown in class and then check with JMP.) b) Plot the data with steel weight loss rate as the response variable and sulfur dioxide deposition rate as the predictor. c) Estimate the regression line, assuming a straight line model is appropriate. Interpret it as the conditional mean of the response, given the predictor.
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