Statistics Homework Solutions 181

Statistics Homework Solutions 181 - y 2021 85 2 861 x . The...

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SECTION 7.4 181 common logs are more convenient since partial pressures are expressed as powers of 10. (b) -2 -1.5 -1 -0.5 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 Fitted Value Residual The least-squares line is log 10 y 3 277 0 225log 10 x . The linear model appears to fit quite well. (c) The theory says that the coefficient β 1 of log 10 x in the linear model is equal to 0 25. The estimated value is β 0 225. We determine whether the data are consistent with the theory by testing the hypotheses H 0 : β 1 0 25 vs. H 1 : β 1 0 25. The value of the test statistic is t 0 821. There are 21 degrees of freedom, so 0 20 P 0 50 (a computer package gives P 0 210). We do not reject H 0 , so the data are consistent with the theory. 11. (a) y 2049 87 4 270 x (b) (12, 2046) and (13, 1954) are outliers. The least-squares line with (12, 2046) deleted is
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Unformatted text preview: y 2021 85 2 861 x . The least-squares line with (13, 1954) deleted is y 2069 30 5 236 x . The least-squares line with both outliers deleted is y 2040 88 3 809 x . (c) The slopes of the least-squares lines are noticeably affected by the outliers. They ranged from 2 861 to 5 236. 13. The equation becomes linear upon taking the log of both sides: ln W 1 ln L , where ln a and 1 b . 15. (a) A physical law. (b) It would be better to redo the experiment. If the results of an experiment violate a physical law, then something was wrong with the experiment, and you cant fix it by transforming variables....
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This note was uploaded on 12/20/2011 for the course STA 3163 taught by Professor Mattgilg during the Fall '11 term at UNF.

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