CEE 110 11 PS8 Solutions

CEE 110 11 PS8 Solutions - UNIVERSITY OF CALIFORNIA, LOS...

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Unformatted text preview: UNIVERSITY OF CALIFORNIA, LOS ANGELES Civil and Environmental Engineering Department CEE 110 Introduction to Probability and Statistics for Engineers Spring Quarter 2011 MW 12-4 PM Franz 1178 Prof. K. D. Stolzenbach 5732J Boelter Hall, 206-7624 stolzenb@ucla.edu Problem Set 8 Solutions _____________________________________________________________________________ 1. a) ˆ σ 2 = MSE = ˆ SST − β1Sxy SSE = = n−2 n−2 ∑y 2 i ˆ − ny 2 − β1Sxy n−2 = 0.143275 = 0.00796 18 b) c) d) e) 1) The parameter of interest is the regressor variable coefficient, β1. 2) 3) 4) α = 0.05 5) The test statistic is 6) Reject H0 if f0 > fα,1,18 where f0.05,1,18 = 4.414 7) Using the results from Exercise 11-2 8) Since 73.95 > 4.414, reject at α = 0.05. and conclude the model specifies a useful relationship f) (g) tα/2,n-2 = t0.005,18 = 2.878 i) ii) iii) 99% confidence interval on µ when iv) 99% prediction interval when 2. . . a) The correlation coefficient between τ and tanφ is r = 0.7724 b) The linear regression results in , i.e. c = soil cohesion = 2 2 103.0 KN/m and σ = overburden stress = 129.6 KN/m . ...
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This note was uploaded on 10/22/2011 for the course ENG 101 taught by Professor Yukov during the Spring '11 term at UCLA.

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