The table below is part of an output of data analyzed whose response variable was whether or not  (1=yes,0=no) a student was in a relationship (y), the predictor variables included the students age  (x1), gender (x2), fee balance (x3) in Ksh’000’,family size (x4) and the religion coded such that  (1=catholic,2=protestant,3=muslim,4=hindu) (x5)  Examination Irregularity is punishable by expulsion Page 3 of 4 Variables in the equation    Step1a B S.E. Wald df Sig. Exp(B)  95% C.I.for EXP(B)  Lower Upper  Family-size 1.338 .494 4.419 1 .036 .354 .135 .932 Age 1.197 .120 2.710 1 .043 .821 .649 1.038 Fee bal .201 .173 1.342 1 .247 1.222 .870 1.716 Religion 1.085 3 .781 Religion(1) -.073 1.477 .002 1 .961 .930 .051 16.801 Religion(2) 1.468 1.743 1.710 1 .047 4.342 .143 132.234 Religion(3) -19.860 11.714 .000 1 .999 .000 .000 . Gender(1) .645 1.343 .231 1 .631 1.906 .137 26.476 Constant 8.329 4.262 3.819 1 .051 412.576 i) By citing the reasons highlight the variables that contributed significantly to the  prediction of the relationship status of a student. ii) Interpret the betas, Exp(β) and the 95%CI for Exp(β) of the variables highlighted in (i)  iii) Fit in the regression equation using only the significant variables.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter24: Forecasting Models
Section24.8: Multiple Regression
Problem 9P
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The table below is part of an output of data analyzed whose response variable was whether or not 
(1=yes,0=no) a student was in a relationship (y), the predictor variables included the students age 
(x1), gender (x2), fee balance (x3) in Ksh’000’,family size (x4) and the religion coded such that 
(1=catholic,2=protestant,3=muslim,4=hindu) (x5) 
Examination Irregularity is punishable by expulsion Page 3 of 4
Variables in the equation 
 
Step1a B S.E. Wald df Sig. Exp(B) 
95% C.I.for EXP(B) 
Lower Upper 
Family-size 1.338 .494 4.419 1 .036 .354 .135 .932
Age 1.197 .120 2.710 1 .043 .821 .649 1.038
Fee bal .201 .173 1.342 1 .247 1.222 .870 1.716
Religion 1.085 3 .781
Religion(1) -.073 1.477 .002 1 .961 .930 .051 16.801
Religion(2) 1.468 1.743 1.710 1 .047 4.342 .143 132.234
Religion(3) -19.860 11.714 .000 1 .999 .000 .000 .
Gender(1) .645 1.343 .231 1 .631 1.906 .137 26.476
Constant 8.329 4.262 3.819 1 .051 412.576
i) By citing the reasons highlight the variables that contributed significantly to the 
prediction of the relationship status of a student.
ii) Interpret the betas, Exp(β) and the 95%CI for Exp(β) of the variables highlighted in (i) 
iii) Fit in the regression equation using only the significant variables. 

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