Compute the difference in the average birthweight of babies of indigenous and no
ID: 3251938 • Letter: C
Question
Compute the difference in the average birthweight of babies of indigenous and non-indigenous mothers (called the birthweight difference, for simplicity). Discuss fully if there is any discrepancy between the regression coefficient of Status obtained in the regression model and the birthweight difference.
Indigenous average birthweight = 3238
Non-indigenous average birthweight = 3556
SUMMARY OUTPUT Regression Statistics Multiple R 0.390295713 R Square 0.152330744 Adjusted R Square 0.148923028 Standard Error 500.6133243 Observations 1000 ANOVA df SS MS F Significance F Regression 4 44811452.35 11202863.09 44.70171849 1.50634E-34 Residual 995 249360632 250613.7005 Total 999 294172084.3 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -1555.822885 543.1174166 -2.864616081 0.004262958 -2621.609907 -490.0358633 -2621.609907 -490.0358633 Gestation 9.752393408 1.361989941 7.160400465 1.56191E-12 7.079691044 12.42509577 7.079691044 12.42509577 Smoke -235.1129971 32.83977488 -7.159397344 1.57282E-12 -299.5561632 -170.669831 -299.5561632 -170.669831 Height 15.32243519 2.48914917 6.155691823 1.08256E-09 10.43785075 20.20701963 10.43785075 20.20701963 Status -180.734123 73.91702474 -2.445094667 0.014653929 -325.7852727 -35.68297337 -325.7852727 -35.68297337Explanation / Answer
Since here F value > F sig, We Reject Ho and conclude there is significant difference between indigenous and non-indigenous mothers.
Also at alpha = 0.05 , all the variables are significant since they are LESS Than 0.05.
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