Question

MindTap Cengage X C Get Homework Help Cengaye Learning Mail-steviemyers@X Module 6 Homework X G how lo find sse Gu x X X https://ng.cengage.com/static/nb/ui/evo/index.html?deploymentld-57360043871155144847470648elSBN =9781337115377&id-476006206 &nbld=1160247. C CENGAGE MINDTAP Q Search this course Module 6 Homework video cBook Appendix B. Given are (ive abservations for Lwo variables, and , Use Tatble: 12 14 7 Rqund vour answers to twa decimal places a. Using the rollowing equation: (a)3 (-) S when -3 Estimate the standard deoviation ot b. Using following expression Develop a 95% confidence interval tor the expected value of y when 3. to . Using the following eguation 1 Estirnate the standard deviation af an indvidual value of y whenn 3 d. Using t e following expression topead Develop a 95 % prediction interval 3. ar y when A-Z 5:52 PM #a O Type here to search 6/5/2019

Answer 1

(x-x)2 (y-y) (x-x)(y-y) X Y S.No 4,0000 29.1600 10.8000 1 2 1.0000 1.9600 1.4000 3 6 0.0000 5.7600 0.0000 4 4 12 1.0000 3.6000 12.9600 14 4.0000 31.3600 11.2000 Total 15 42 10.0000 81.2000 27.0000 3.0000 8.4000 SSX SSY SXY Mean sample size: n= here 8.4000 3.0000 Y from above 2(x-X)2= Sg 10.0000 '2(X-X)(Y-)= Sy 27.0000 Spy/Sm slope= 2.70000 = Y-BX intercept= 0.30000 SST-Syy 81.2000 sSE =Syy-(Sxy)/Sxx= SSR =(Sxy)/Sxx = 8.3000 72.9000 s2-sSE/(n-2) se Vs error Variance o 2.767 std error o 1.6633 3 8.400 predcited value at X-3: std error confidence interval s*V(1/n+(X9-X)3/S) 0.7439 for 95 % CI value of t= 3.182 margin of error E-t*std error 2.3670 lower confidence bound-sample mean-margin of error Upper confidence bound-sample meantmargin of error= 6.03 10.77 3 predcited value at X-3: 8.400 s*V(1+1/n+(xg-X) /s std error prediction interval= 1.8221 for 95 % Cl value of t= 3.182 margin of error E=t*std error lower prediction bound-sample mean-margin of error= 5.7979 2.60 Upper prediction bound-sample mean+margin of error- 14,20

a)

standard deviation =0.74

b)

95% CI =6.03 , 10.77 ( please try 6.05 , 10.75 if this comes wrong)

c)

standard deviation =1.82

d)

95% PI =2.60 , 14.20 ( please try 2.61 , 14.19 if this comes wrong)