8b What is the test statistic and p-value for the test of the global hypothesis

Question

8b
What is the test statistic and p-value for the test of the global hypothesis that the fit of the
multiple linear model explains a statistically significant greater proportion of the variability in
BWT than is explained by the average BWT alone?

8. Low birth weight is of concern because of its association with infant mortality and birth defects. A woman's behavior during pregnancy (including diet, smoking habits, prenatal care) can affect the chances of carrying a baby to term and of delivering a baby of normal birth weight. The following is a code sheet of variables that were investigated in a multivariable regression analysis of n=189 birth weight outcomes In these analyses the dependent variable is BWT. The predictors of interest are AGE. LWT, SMOKE PTL, HT, UI, and FTV Variable Y BWT Variable Name and Coding Birth weight (grams) AGE LWT SMOKE PTL HT UI FTV Age of mother (years) Weight at last menstrual period (pounds) Indicator smoked during pregnancy (1-yes, 0-no) Indicator history of premature labor (1-yes, 0-no) Indicator of hypertension (1-yes, 0-no) Indicator of uterine irritability (1-yes, 0-no) Number of visits to doctor during first trimester (integer, 0, 1, 2, etc Selected calculations have been performed for vouu

Explanation / Answer

answer of part (a)

answer of part (b)

source sum of squares(SS) DF Mean Square Regression 17618874 7 2516982 Residual 82488364.64 181 455736.8212 Total 100107238.6 188 R2=RegSS/TotalSS 0.176 TotalSS= RegSS/0.176 Mean Square= SS/DF

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