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7/ The following Stata output displays results for a multiple linear regression

ID: 3321337 • Letter: 7

Question

7/ The following Stata output displays results for a multiple linear regression of platelet count (pltct) on gestational age (in weeks), birthweight (in grams) and pneumothorax (pneumo = 1 if the infant had pneumothorax, 0 otherwise). Based on the model below, what is the predicted platelet count for an infant born without pneumothorax at 27 weeks with a birthweight of 900 grams?

a/ 266

b/ 202.4

c/ 113.6

d/ 145

. regress pltct gest bwt pneumo 174 9.40 0.0000 0.1423 0.1271 78.58 Number of obs F(3, 170) Source df MS Model Residual 174112.412 1049731.56 3 58037.4707 Prob F 170 6174.89156 R-squared Adj R-squared- Total 1223843.98 173 7074.24264 Root MSE pltct Coef. Std. Err. [95% Conf. Interval] -3.03 0.003 4.59 0.000 -3.12 .002 4.18 0.000 -17.85134-13 gest bwt pneumo cons -10.80403 3.570036 0341984 18.0886 349.9863 83.73145 3.756715 .2246376 -92.14591 -20.73151 515.2736 0896211 1571294 -56.43871 184.699

Explanation / Answer

right choice is b/202.4

the regression equation pltct=349.99 - 56.44*pneumo+0.16*bwt-10.80*gest

here pneumo=0, bwt=900, gest=27 then

pltct=349.99 - 56.44*0+0.16*900-10.80*27=202.4 ( approximate to one decimal place)

regression coefficients are approximate to two decimal place

right choice is b/202.4

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