Refer to the 3-category pregnancy duration data below. Use the results from the polytomous logistic regression that was fit (which includes nutrition, age of mother, alcohol, and smoking)(see attachment for output) to answer the following question

Age Category X2 X3

Teenager 1 0

20-30 0 0

>30 0 1

Other Predictors:

Alcohol use X4 (yes =1 , no=0)

Smoking history X5 (yes =1 , no=0)

Nutritional status X1(higher is better)

For teenagers, how many times more or less is the relative risk of delivering intermediate term compared to full term than for women over the age of 30?

Y= 1 Preterm

Y= 2 Intermediate term

Y=3 Full term (Reference)

(10 vars, 102 obs) . mlogit duration nutrition agel age2 alcohol smoking Iteration 0: log likelihood = -110.34308 Iteration 1: log likelihood -86.951566 Iteration 2: log likelihood -84. 494806 Iteration 3: log likelihood 84.338731 Iteration 4; log likelihood -84.337718 Multinomial Ingistic. regression Number of obs 107 Y=1 Preterm LR chi2(10) 52.01 prob > chi2 0.0000 Y=2 Intermediate term Log likelihood - -84. 337718 Pseudo R2 0.2357 Y=3 Full term(Reference) duration Corf. std. Err. Px 121 [95% conf. Interval] 1 nutrition -. 0651203 0182387 -3.59 D. 0DO -. 1011675 -. 0796731 agel 2.957022 .9644716 3.07 0.002 1.066693 4.847352 In (preterm/full term) age2 2.059675 .894748 2.30 0. 021 .3060013 3.813349 2. 042928 7097316 2. 88 0. 004 . 65188 3.433977 smoking 2.457367 . 7314864 3.35 0.001 1.018675 3. AR6049 -Cons 5.475262 2.27163 2.41 0. 016 1.022948 9.927576 nutrition -. 0464477 . 0148852 -3. 12 0.002 -- 0756221 -. 0172734 In (intermediate/full age1 2.913464 . 8575302 3.10 0.001 1.232735 4.594192 age2 1. 887549 .8087979 2.33 0. 020 - 302334 3.472764 term) alcohol 1.06702 6495103 1.64 0.100 -.2059969 2. 340017 smoking 2.230466 . 6681689 3.34 0.001 9208792 3.540053 cons 3.958213 1.941001 2.04 0.041 -1539215 7.762504 (duration-=3 is the base outcome)