3/ The Stata output below shows a multiple linear regression for birthweight [in
ID: 3321382 • Letter: 3
Question
3/ The Stata output below shows a multiple linear regression for birthweight [in grams] on female sex (female = 1 if sex is "female" and female = 0 otherwise), platelet count (pltct), and gestational age. Which of the following statements is true?
The 90% confidence interval for the slope of female sex is (-59.77, 68.12).
Female infants have on average 4.5 grams higher birthweight than male infants.
Female infants have on average 4.5 grams lower birthweight than male infants, controlling for platelet count and gestational age.
Female infants have on average 4.5 grams higher birthweight than male infants, controlling for platelet count and gestational age.
The 90% confidence interval for the slope of female sex is (-59.77, 68.12).
Female infants have on average 4.5 grams higher birthweight than male infants.
Female infants have on average 4.5 grams lower birthweight than male infants, controlling for platelet count and gestational age.
Female infants have on average 4.5 grams higher birthweight than male infants, controlling for platelet count and gestational age.
. regress bwt female pltet gest Source df MS 174 60.99 0.0000 0.5184 0.5099 169.39 Number of obs F (3, 170) Model5249742.01 Residual 4877637.83 3 1749914 ProbF 170 28691.9872 R-squared Adj R-squared = Total 10127379.8 173 58539.7679 Ro tMSE bwt Coef. td. Err. [95% Conf. Interval] female pltct gest cons 4.532165 25.76932 153809:3 69.09842 5.460563 -1039.444 162.3034 0.18 0.861 4.09 0.000 12.65 0.000 -6.40 0.000 -46.33691 3257127 58.31918 55.40124 .932957 79.87766 -1359.834 719.0548 6293348Explanation / Answer
As the coeffiicent for the female independent variable here is around 4.5, therefore Female infants have on average 4.5 grams higher birthweight than male infants controlling for platelet count and gestational age given that we keep all the other variables constant.
Now we are given the 95% confidence interval for the independent variable female as:(-46.34, 55.40) Therefore the 90% confidence interval has to be narrower than this and therefore cannot be
(-59.77, 68.12).
Therefore A is also not correct here
The correct statement is only D Female infants have on average 4.5 grams higher birthweight than male infants, controlling for platelet count and gestational age.
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