1. Using multivariate logistical regression in SAS, I need to produce plots to examine the interaction between the dichotomous variable LOWBWT and three other categorical variables, two being dichotomous (SMOKE and weight [LT110]) and the other having three categories (RACE). I need to comment on the observed associations. What code should I use?

2. Next, fit a logistic regression model that includes low birth weight (LOWBWT) as the dependent variable and weight (LT110), smoking (SMOKE) and the interaction of weight and smoking (WEIGHT_SMOKE) as covariates. Write the regression equation.

3. Lastly, interpret the regression coefficients by commenting on the risk of a low birth weight baby associated with maternal smoking and maternal low weight.

ID	LOWBWT	AGE	RACE	SMOKE	LT110	AGECAT
85.00	0	19.0	2	0	0.00	1.00
86.00	0	33.0	3	0	0.00	3.00
87.00	0	20.0	1	1	1.00	1.00
88.00	0	21.0	1	1	1.00	2.00
89.00	0	18.0	1	1	1.00	1.00
91.00	0	21.0	3	0	0.00	2.00
92.00	0	22.0	1	0	0.00	2.00
93.00	0	17.0	3	0	1.00	1.00
94.00	0	29.0	1	1	0.00	3.00
95.00	0	26.0	1	1	0.00	3.00
96.00	0	19.0	3	0	1.00	1.00
97.00	0	19.0	3	0	0.00	1.00
98.00	0	22.0	3	0	1.00	2.00
99.00	0	30.0	3	0	1.00	3.00
100.00	0	18.0	1	1	1.00	1.00
101.00	0	18.0	1	1	1.00	1.00
102.00	0	15.0	2	0	1.00	1.00
103.00	0	25.0	1	1	0.00	2.00
104.00	0	20.0	3	0	0.00	1.00
105.00	0	28.0	1	1	0.00	3.00
106.00	0	32.0	3	0	0.00	3.00
107.00	0	31.0	1	0	1.00	3.00
108.00	0	36.0	1	0	0.00	3.00
109.00	0	28.0	3	0	0.00	3.00
111.00	0	25.0	3	0	0.00	2.00
112.00	0	28.0	1	0	0.00	3.00
113.00	0	17.0	1	1	0.00	1.00
114.00	0	29.0	1	0	0.00	3.00
115.00	0	26.0	2	1	0.00	3.00
116.00	0	17.0	2	0	0.00	1.00
117.00	0	17.0	2	0	0.00	1.00
118.00	0	24.0	1	1	1.00	2.00
119.00	0	35.0	2	1	0.00	3.00
120.00	0	25.0	1	0	0.00	2.00
121.00	0	25.0	2	0	0.00	2.00
123.00	0	29.0	1	1	0.00	3.00
124.00	0	19.0	1	1	0.00	1.00
125.00	0	27.0	1	1	0.00	3.00
126.00	0	31.0	1	1	0.00	3.00
127.00	0	33.0	1	1	1.00	3.00
128.00	0	21.0	2	1	0.00	2.00
129.00	0	19.0	1	0	0.00	1.00
130.00	0	23.0	2	0	0.00	2.00
131.00	0	21.0	1	0	0.00	2.00
132.00	0	18.0	1	1	1.00	1.00
133.00	0	18.0	1	1	1.00	1.00
134.00	0	32.0	1	0	0.00	3.00
135.00	0	19.0	3	0	0.00	1.00
136.00	0	24.0	1	0	0.00	2.00
137.00	0	22.0	3	1	1.00	2.00
138.00	0	22.0	1	0	0.00	2.00
139.00	0	23.0	3	0	0.00	2.00
140.00	0	22.0	1	1	0.00	2.00
141.00	0	30.0	1	1	1.00	3.00
142.00	0	19.0	3	0	0.00	1.00
143.00	0	16.0	3	0	0.00	1.00
144.00	0	21.0	3	1	0.00	2.00
145.00	0	30.0	3	0	0.00	3.00
146.00	0	20.0	3	0	1.00	1.00
147.00	0	17.0	3	0	0.00	1.00
148.00	0	17.0	3	0	0.00	1.00
149.00	0	23.0	3	0	0.00	2.00
150.00	0	24.0	3	0	0.00	2.00
151.00	0	28.0	1	0	0.00	3.00
154.00	0	26.0	3	1	0.00	3.00
155.00	0	20.0	3	0	0.00	1.00
156.00	0	24.0	3	0	0.00	2.00
159.00	0	28.0	3	1	0.00	3.00
160.00	0	20.0	1	0	0.00	1.00
161.00	0	22.0	2	0	0.00	2.00
162.00	0	22.0	1	1	0.00	2.00
163.00	0	31.0	3	1	0.00	3.00
164.00	0	23.0	3	1	0.00	2.00
166.00	0	16.0	2	0	0.00	1.00
167.00	0	16.0	1	1	0.00	1.00
168.00	0	18.0	2	0	0.00	1.00
169.00	0	25.0	1	0	0.00	2.00
170.00	0	32.0	1	1	0.00	3.00
172.00	0	20.0	2	1	0.00	1.00
173.00	0	23.0	1	0	0.00	2.00
174.00	0	22.0	1	0	0.00	2.00
175.00	0	32.0	1	0	0.00	3.00
176.00	0	30.0	3	0	0.00	3.00
177.00	0	20.0	3	0	0.00	1.00
179.00	0	23.0	3	0	0.00	2.00
180.00	0	17.0	3	1	0.00	1.00
181.00	0	19.0	3	0	1.00	1.00
182.00	0	23.0	1	0	0.00	2.00
183.00	0	36.0	1	0	0.00	3.00
184.00	0	22.0	1	0	0.00	2.00
185.00	0	24.0	1	0	0.00	2.00
186.00	0	21.0	3	0	0.00	2.00
187.00	0	19.0	1	1	0.00	1.00
188.00	0	25.0	1	1	1.00	2.00
189.00	0	16.0	1	1	0.00	1.00
190.00	0	29.0	1	0	0.00	3.00
191.00	0	29.0	1	0	0.00	3.00
192.00	0	19.0	1	1	0.00	1.00
193.00	0	19.0	1	1	0.00	1.00
195.00	0	30.0	1	0	0.00	3.00
196.00	0	24.0	1	0	0.00	2.00
197.00	0	19.0	1	1	0.00	1.00
199.00	0	24.0	3	0	0.00	2.00
200.00	0	23.0	1	0	0.00	2.00
201.00	0	20.0	3	0	0.00	1.00
202.00	0	25.0	2	0	0.00	2.00
203.00	0	30.0	1	0	0.00	3.00
204.00	0	22.0	1	0	0.00	2.00
205.00	0	18.0	1	1	0.00	1.00
206.00	0	16.0	2	0	0.00	1.00
207.00	0	32.0	1	0	0.00	3.00
208.00	0	18.0	3	0	0.00	1.00
209.00	0	29.0	1	1	0.00	3.00
210.00	0	33.0	1	0	0.00	3.00
211.00	0	20.0	1	1	0.00	1.00
212.00	0	28.0	3	0	0.00	3.00
213.00	0	14.0	1	0	0.00	1.00
214.00	0	28.0	3	0	0.00	3.00
215.00	0	25.0	1	0	0.00	2.00
216.00	0	16.0	3	0	1.00	1.00
217.00	0	20.0	1	0	0.00	1.00
218.00	0	26.0	3	0	0.00	3.00
219.00	0	21.0	1	0	0.00	2.00
220.00	0	22.0	1	0	0.00	2.00
221.00	0	25.0	1	0	0.00	2.00
222.00	0	31.0	1	0	0.00	3.00
223.00	0	35.0	1	0	0.00	3.00
224.00	0	19.0	1	1	0.00	1.00
225.00	0	24.0	1	0	0.00	2.00
226.00	0	45.0	1	0	0.00	3.00
251.00	0	28.0	1	1	0.00	3.00
252.00	0	21.0	1	0	0.00	2.00
257.00	0	30.0	3	0	0.00	3.00
258.00	0	20.0	1	1	0.00	1.00
259.00	0	23.0	3	0	0.00	2.00
260.00	0	34.0	3	1	0.00	3.00
261.00	0	26.0	1	0	0.00	3.00
262.00	0	18.0	2	1	0.00	1.00
263.00	0	25.0	1	0	0.00	2.00
266.00	0	21.0	3	1	0.00	2.00
268.00	0	22.0	1	1	0.00	2.00
270.00	0	16.0	1	0	1.00	1.00
271.00	0	40.0	3	1	0.00	3.00
272.00	0	22.0	3	0	0.00	2.00
274.00	0	27.0	1	0	0.00	3.00
276.00	0	21.0	1	0	1.00	2.00
277.00	0	20.0	2	1	0.00	1.00
278.00	0	38.0	1	0	0.00	3.00
279.00	0	27.0	1	1	0.00	3.00
280.00	0	32.0	3	0	1.00	3.00
4.00	1	28.0	3	1	0.00	3.00
10.00	1	29.0	1	0	0.00	3.00
11.00	1	34.0	2	1	0.00	3.00
13.00	1	25.0	3	0	1.00	2.00
15.00	1	25.0	3	0	1.00	2.00
16.00	1	27.0	3	0	0.00	3.00
17.00	1	23.0	3	0	1.00	2.00
18.00	1	24.0	2	0	0.00	2.00
19.00	1	24.0	3	0	0.00	2.00
20.00	1	21.0	1	1	0.00	2.00
22.00	1	32.0	1	1	1.00	3.00
23.00	1	19.0	1	1	1.00	1.00
24.00	1	25.0	3	0	0.00	2.00
25.00	1	16.0	3	0	0.00	1.00
26.00	1	25.0	1	1	1.00	2.00
27.00	1	20.0	1	1	0.00	1.00
28.00	1	21.0	2	0	0.00	2.00
29.00	1	24.0	1	1	0.00	2.00
30.00	1	21.0	3	0	1.00	2.00
31.00	1	20.0	3	0	0.00	1.00
32.00	1	25.0	3	0	1.00	2.00
33.00	1	19.0	1	0	1.00	1.00
34.00	1	19.0	1	1	0.00	1.00
35.00	1	26.0	1	1	0.00	3.00
36.00	1	24.0	1	0	0.00	2.00
37.00	1	17.0	3	1	0.00	1.00
40.00	1	20.0	2	1	0.00	1.00
42.00	1	22.0	1	1	0.00	2.00
43.00	1	27.0	2	0	0.00	3.00
44.00	1	20.0	3	1	1.00	1.00
45.00	1	17.0	1	1	0.00	1.00
46.00	1	25.0	3	0	1.00	2.00
47.00	1	20.0	3	0	1.00	1.00
49.00	1	18.0	3	0	0.00	1.00
50.00	1	18.0	2	1	0.00	1.00
51.00	1	20.0	1	1	0.00	1.00
52.00	1	21.0	3	0	1.00	2.00
54.00	1	26.0	3	0	1.00	3.00
56.00	1	31.0	1	1	1.00	3.00
57.00	1	15.0	1	0	0.00	1.00
59.00	1	23.0	2	1	0.00	2.00
60.00	1	20.0	2	1	0.00	1.00
61.00	1	24.0	2	1	1.00	2.00
62.00	1	15.0	3	0	0.00	1.00
63.00	1	23.0	3	0	0.00	2.00
65.00	1	30.0	1	1	0.00	3.00
67.00	1	22.0	1	1	0.00	2.00
68.00	1	17.0	1	1	0.00	1.00
69.00	1	23.0	1	1	0.00	2.00
71.00	1	17.0	2	0	0.00	1.00
75.00	1	26.0	3	0	0.00	3.00
76.00	1	20.0	3	0	1.00	1.00
77.00	1	26.0	1	1	0.00	3.00
78.00	1	14.0	3	1	1.00	1.00
79.00	1	28.0	1	1	1.00	3.00
81.00	1	14.0	3	0	1.00	1.00
82.00	1	23.0	3	1	1.00	2.00
83.00	1	17.0	2	0	0.00	1.00
84.00	1	21.0	1	1	0.00	2.00
253.00	1	24.0	2	1	0.00	2.00
254.00	1	22.0	2	0	1.00	2.00
255.00	1	22.0	3	0	1.00	2.00
256.00	1	36.0	1	0	0.00	3.00
264.00	1	16.0	2	1	0.00	1.00
265.00	1	25.0	2	0	1.00	2.00
267.00	1	22.0	2	0	0.00	2.00
269.00	1	16.0	3	1	1.00	1.00
273.00	1	32.0	1	1	0.00	3.00
275.00	1	25.0	3	1	1.00	2.00