Question

Semester - January 06, cucu INCAL 570ES PLUS II kam - Probability and Statistics H estion 5. .... Total: 20 points Forensic scientists are often interested in making a measurement of some sort on a body alive of dead) and then using that as a basis for inferring something about the age of the body. Consider the accompanying data on age (year) and % D-aspertic acid (hereafter %DAA) from a partid tooth. Below are the records Age (2) 9 11 13 33 52 | %DAAA (y) 1.13 1.11 1.24 2.25 2.93 (a) Determine the regression line for the data shown. (b) Find a 99% confidence interval for the slope of the regression line. + b l ý = 1,732 Y = ax 23,6 Ey=17, 694 sy=8,66 1,8208

Answer 1

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y= ax + b a= n <rey- Exty; Xi Xiyi Xi?, 9 1.13 10017 8 1 Di 12:21 121 13: 1-24 16.12 .169 33 2.25 74,25 1089 52 2.93 152:36 2704 3=118 2=8166 2=265i|| = 4164 NEX - (Exi) 2 b = 1 [sy; - akril a = 23.6 ; a = n < xiyi - Sx; syi - 5x265.11 - 118 x 8.66 · DEY2 - (smile 5*4164 - (118) >> a = 0.044035672 6 = (39;-a sxi] = $ (8.66 - Syia 8.66 -0.044035672x 118 = b = 0,69275812 os ĝ = 0.044036 X + 0.692758

99% confidence interval for slope is, â I the x S.E câ) where a = 0.04 4036 1-2 to = 4.841 (obtained from t table with 8 degree of freedom, 0.01 two tailed significance level) S.E (Q) = 368; -) 2 JA-24(04-)? => S.E ca) = 0.00456241 156.76 10.000 635041 11 2.36 0.01998552 3 x 1379.2 ; } (yi -ŷ ² (24-2² 1136108911 0.00167281 213.10. 1-11 0 1:1771 1-24.181 26520 dil 459 0.0108 368|| 88,36 2.9826 0.00 276676) 80656 3=0.01993552 2: 1379.2 SE (A) = 0.00219503 .: 99 confidence interval is 0.044036 $40841 X 0.00219502 (0.033409859, 0.05466214)