Question

Biostatistics Homework Assignment #16 Page 2 Problem II: Measurements were taken from snails of the shell weights and the widths of the opercula. Estimate the correlation coefficient and test to see if there is a significant association shell weights and the widths of the opercula. Use a 5% level of significance. Opercula width Shell weight (g) (mm) مية من م 00 00 و م 00 ع ل 00 تبية

Answer 1

Answer:-

Page one

find correlation coefficient (x2 Shell ( opercula , x-xl y Ý | (x-x)2/14-92 1 (x-x) lyny) weighings wildth (mm) | 4' 9 0.52 20.25 0.29 - 2.34 3 9.3 T-6.5 11.52 | 42.25 2.31 - 9.88 I 5.8 -os -1.98 0.25 [3192 oogg -35 12 1225 Te 2.5 0.82 - 6.25 I ordo12 2-05 7.5 2015 -0.28 0.25 0078 0.14 105 0:22 2-25 0.048 0:33 6:17 Tis -108 - 2.25 | 1166 6.4 -2.5 -1.38 1 6.29 Ingoy 3.45 1 13 8.2 3.5 0782 12:28 0,27 182 lolo -1.82 mean (x1= M = Exľ = 95 =gos, 10 mean (y)=. Eyi = 97.8 7.78 {(x - ²)2 = 104.5, E14.7)2 = 11.896 EcXnÀ lyný ) = 24.3. y = correlation coefficient bean shell weight and Opercula und go Elx-82144) 151X3)2 514-0012 710415 x 11.896 TV2 - 01122 T - 4:3 r = -0.122 Testing Вр: p = 0 port - vs - where — Comelation test Hip to e is a comelation population coefficient CamScanner

Page two

test statistic Critical value teritical = thing, al = teritical = t soos/2 2.306 option cd) is correct feom t table I Jn.z t-ralue, t = r ts (-0.122) Jo A f * 012212 to -0348 l t = -0.348 Scanned with CamScanner - option (6) is correct.

Page three

A conclusion" At oros significance level - - we We do do not reject Ho, because - t < treitical therefore we conclude that there is not a significant association between shell weights of the opercula Answer: do not Rejeet Hoi CS Sated with ChimScanner

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