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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.2: Solving Inequalities By Multiplication And Division
Problem 3AGP
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Related questions
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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

 

  1. 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.
  2. What would be the predicted length if the gestational age is 30 weeks and the mother's age is 26 years?
  3. Test the null hypothesis that all the regression coefficients (except the intercept) are simultaneously zero.
  4. Test the null hypothesis that the coefficient associated with gestational age is equal to zero.
  5. 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.
  6. 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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