headcirc length gestage birthwt momage toxemia 27 41 29 1360 37 0 29 40 31 1490 34 0 30 38 33 1490 32 0 28 38 31 1180 37 0 29 38 30 1200 29 1 23 32 25 680 19 0 22 33 27 620 20 1 26 38 29 1060 25 0 27 30 28 1320 27 0 25 34 29 830 32 1 23 32 26 880 26 0 26 39 30 1130 29 0 27 38 29 1140 24 0 27 39 29 1350 26 0 26 37 29 950 25 0 27 39 29 1220 25 0 26 38 29 980 28 0 29 42 33 1480 30 0 28 39 33 1250 31 1 27 38 29 1250 37 0 25 36 28 920 31 0 25 38 30 1020 21 0 24 34 27 750 21 0 31 42 33 1480 30 0 28 37 32 1140 23 0 23 32 28 670 33 1 26 36 29 1150 18 0 25 34 28 1030 20 0 23 33 29 560 29 0 28 37 30 1260 26 0 35 36 31 900 23 0 24 31 30 620 33 0 33 39 31 1440 26 0 28 39 29 1350 38 0 26 37 27 1170 23 0 26 36 27 1170 23 0 26 37 27 1170 26 0 28 40 32 1420 27 0 29 43 31 1475 27 0 28 37 28 1200 19 0 27 36 30 970 30 1 27 38 29 1190 27 0 28 39 28 1350 31 0 28 41 31 1460 29 0 22 32 27 570 23 1 22 32 25 620 35 0 28 40 30 1200 27 0 24 32 28 660 35 0 28 40 28 1280 28 0 23 33 25 830 21 0 22 31 23 680 26 0 23 32 27 640 21 0 28 39 28 1440 29 0 25 38 27 1150 32 0 27 35 27 850 32 0 24 29 26 760 24 0 23 20 25 620 19 0 21 32 23 660 41 0 25 35 26 985 33 0 22 33 24 690 17 0 27 38 29 1200 26 1 28 40 29 1370 20 0 26 35 27 1170 25 0 28 38 30 1200 30 0 27 39 30 1100 32 0 31 43 32 1480 33 0 30 38 33 1350 34 1 26 38 27 1160 23 0 27 38 31 1330 30 0 24 36 26 960 22 0 25 39 27 1080 35 0 25 36 27 1000 26 0 29 41 35 1490 34 1 25 35 28 880 18 1 29 41 30 1370 23 0 31 40 31 1325 18 1 29 39 30 1400 20 0 26 37 27 1240 29 0 23 31 25 660 18 0 23 34 25 780 25 0 25 37 26 950 14 0 25 36 29 850 39 0 28 40 29 1200 32 0 30 42 34 1440 35 1 26 38 30 1100 23 1 26 38 29 1250 18 0 29 42 33 1420 28 1 28 38 30 1400 19 0 27 36 29 1420 36 0 24 34 24 900 29 0 29 38 33 1160 33 1 23 34 25 820 39 0 28 41 32 1410 29 1 27 39 31 1300 33 1 26 38 31 1110 30 0 26 37 31 820 30 1 27 40 29 1150 28 0 28 35 32 880 35 1 28 41 33 1320 36 1 26 38 28 1080 36 0 In addition to gestational age, we are interested in whether mother’s age is associated with length. Fit a linear regression model that has length as the outcome and both gestational age and mother’s age as predictors. Write out the estimated regression equation and interpret the b coefficient associated with gestational age. What would be the predicted length if the gestational age is 30 weeks and the mother's age is 26 years? Test the null hypothesis that all the regression coefficients (except the intercept) are simultaneously zero. Test the null hypothesis that the coefficient associated with gestational age is equal to zero. Now fit a model with length as the outcome and both gestational age and toxemia as predictors. Test the null hypothesis that the coefficient associated with toxemia is equal to zero. As part of your conclusion, include an interpretation of the coefficient associated with toxemia. Do you think the model with both gestational age and toxemia is better than the model with gestational age alone for predicting length?

headcirc length gestage birthwt momage toxemia 27 41 29 1360 37 0 29 40 31 1490 34 0 30 38 33 1490 32 0 28 38 31 1180 37 0 29 38 30 1200 29 1 23 32 25 680 19 0 22 33 27 620 20 1 26 38 29 1060 25 0 27 30 28 1320 27 0 25 34 29 830 32 1 23 32 26 880 26 0 26 39 30 1130 29 0 27 38 29 1140 24 0 27 39 29 1350 26 0 26 37 29 950 25 0 27 39 29 1220 25 0 26 38 29 980 28 0 29 42 33 1480 30 0 28 39 33 1250 31 1 27 38 29 1250 37 0 25 36 28 920 31 0 25 38 30 1020 21 0 24 34 27 750 21 0 31 42 33 1480 30 0 28 37 32 1140 23 0 23 32 28 670 33 1 26 36 29 1150 18 0 25 34 28 1030 20 0 23 33 29 560 29 0 28 37 30 1260 26 0 35 36 31 900 23 0 24 31 30 620 33 0 33 39 31 1440 26 0 28 39 29 1350 38 0 26 37 27 1170 23 0 26 36 27 1170 23 0 26 37 27 1170 26 0 28 40 32 1420 27 0 29 43 31 1475 27 0 28 37 28 1200 19 0 27 36 30 970 30 1 27 38 29 1190 27 0 28 39 28 1350 31 0 28 41 31 1460 29 0 22 32 27 570 23 1 22 32 25 620 35 0 28 40 30 1200 27 0 24 32 28 660 35 0 28 40 28 1280 28 0 23 33 25 830 21 0 22 31 23 680 26 0 23 32 27 640 21 0 28 39 28 1440 29 0 25 38 27 1150 32 0 27 35 27 850 32 0 24 29 26 760 24 0 23 20 25 620 19 0 21 32 23 660 41 0 25 35 26 985 33 0 22 33 24 690 17 0 27 38 29 1200 26 1 28 40 29 1370 20 0 26 35 27 1170 25 0 28 38 30 1200 30 0 27 39 30 1100 32 0 31 43 32 1480 33 0 30 38 33 1350 34 1 26 38 27 1160 23 0 27 38 31 1330 30 0 24 36 26 960 22 0 25 39 27 1080 35 0 25 36 27 1000 26 0 29 41 35 1490 34 1 25 35 28 880 18 1 29 41 30 1370 23 0 31 40 31 1325 18 1 29 39 30 1400 20 0 26 37 27 1240 29 0 23 31 25 660 18 0 23 34 25 780 25 0 25 37 26 950 14 0 25 36 29 850 39 0 28 40 29 1200 32 0 30 42 34 1440 35 1 26 38 30 1100 23 1 26 38 29 1250 18 0 29 42 33 1420 28 1 28 38 30 1400 19 0 27 36 29 1420 36 0 24 34 24 900 29 0 29 38 33 1160 33 1 23 34 25 820 39 0 28 41 32 1410 29 1 27 39 31 1300 33 1 26 38 31 1110 30 0 26 37 31 820 30 1 27 40 29 1150 28 0 28 35 32 880 35 1 28 41 33 1320 36 1 26 38 28 1080 36 0 In addition to gestational age, we are interested in whether mother’s age is associated with length. Fit a linear regression model that has length as the outcome and both gestational age and mother’s age as predictors. Write out the estimated regression equation and interpret the b coefficient associated with gestational age. What would be the predicted length if the gestational age is 30 weeks and the mother's age is 26 years? Test the null hypothesis that all the regression coefficients (except the intercept) are simultaneously zero. Test the null hypothesis that the coefficient associated with gestational age is equal to zero. Now fit a model with length as the outcome and both gestational age and toxemia as predictors. Test the null hypothesis that the coefficient associated with toxemia is equal to zero. As part of your conclusion, include an interpretation of the coefficient associated with toxemia. Do you think the model with both gestational age and toxemia is better than the model with gestational age alone for predicting length?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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headcirc	length	gestage	birthwt	momage	toxemia
27	41	29	1360	37	0
29	40	31	1490	34	0
30	38	33	1490	32	0
28	38	31	1180	37	0
29	38	30	1200	29	1
23	32	25	680	19	0
22	33	27	620	20	1
26	38	29	1060	25	0
27	30	28	1320	27	0
25	34	29	830	32	1
23	32	26	880	26	0
26	39	30	1130	29	0
27	38	29	1140	24	0
27	39	29	1350	26	0
26	37	29	950	25	0
27	39	29	1220	25	0
26	38	29	980	28	0
29	42	33	1480	30	0
28	39	33	1250	31	1
27	38	29	1250	37	0
25	36	28	920	31	0
25	38	30	1020	21	0
24	34	27	750	21	0
31	42	33	1480	30	0
28	37	32	1140	23	0
23	32	28	670	33	1
26	36	29	1150	18	0
25	34	28	1030	20	0
23	33	29	560	29	0
28	37	30	1260	26	0
35	36	31	900	23	0
24	31	30	620	33	0
33	39	31	1440	26	0
28	39	29	1350	38	0
26	37	27	1170	23	0
26	36	27	1170	23	0
26	37	27	1170	26	0
28	40	32	1420	27	0
29	43	31	1475	27	0
28	37	28	1200	19	0
27	36	30	970	30	1
27	38	29	1190	27	0
28	39	28	1350	31	0
28	41	31	1460	29	0
22	32	27	570	23	1
22	32	25	620	35	0
28	40	30	1200	27	0
24	32	28	660	35	0
28	40	28	1280	28	0
23	33	25	830	21	0
22	31	23	680	26	0
23	32	27	640	21	0
28	39	28	1440	29	0
25	38	27	1150	32	0
27	35	27	850	32	0
24	29	26	760	24	0
23	20	25	620	19	0
21	32	23	660	41	0
25	35	26	985	33	0
22	33	24	690	17	0
27	38	29	1200	26	1
28	40	29	1370	20	0
26	35	27	1170	25	0
28	38	30	1200	30	0
27	39	30	1100	32	0
31	43	32	1480	33	0
30	38	33	1350	34	1
26	38	27	1160	23	0
27	38	31	1330	30	0
24	36	26	960	22	0
25	39	27	1080	35	0
25	36	27	1000	26	0
29	41	35	1490	34	1
25	35	28	880	18	1
29	41	30	1370	23	0
31	40	31	1325	18	1
29	39	30	1400	20	0
26	37	27	1240	29	0
23	31	25	660	18	0
23	34	25	780	25	0
25	37	26	950	14	0
25	36	29	850	39	0
28	40	29	1200	32	0
30	42	34	1440	35	1
26	38	30	1100	23	1
26	38	29	1250	18	0
29	42	33	1420	28	1
28	38	30	1400	19	0
27	36	29	1420	36	0
24	34	24	900	29	0
29	38	33	1160	33	1
23	34	25	820	39	0
28	41	32	1410	29	1
27	39	31	1300	33	1
26	38	31	1110	30	0
26	37	31	820	30	1
27	40	29	1150	28	0
28	35	32	880	35	1
28	41	33	1320	36	1
26	38	28	1080	36	0

In addition to gestational age, we are interested in whether mother’s age is associated with length. Fit a linear regression model that has length as the outcome and both gestational age and mother’s age as predictors. Write out the estimated regression equation and interpret the b coefficient associated with gestational age.
What would be the predicted length if the gestational age is 30 weeks and the mother's age is 26 years?
Test the null hypothesis that all the regression coefficients (except the intercept) are simultaneously zero.
Test the null hypothesis that the coefficient associated with gestational age is equal to zero.
Now fit a model with length as the outcome and both gestational age and toxemia as predictors. Test the null hypothesis that the coefficient associated with toxemia is equal to zero. As part of your conclusion, include an interpretation of the coefficient associated with toxemia.
Do you think the model with both gestational age and toxemia is better than the model with gestational age alone for predicting length?

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