3. Practice with simple linear regression models Suppose you are interested in s

Question

3. Practice with simple linear regression models Suppose you are interested in studying the effects of the hormones of mothers and the birth weight of their children. You hypothesize the following relationship between birth weight and the level of the estriol, a type of estrogen, of the mother while pregnant. birthweight = 0 + A estriol where birthweight the weight of the child at birth, in hundreds of grams estriol level of estriol present in the mother's body, in milligrams per 24 hours You gather data and run a simple ordinary least squares (OLS) linear regression. The result is the following OLS regression line relating birth weight and estriol. birthweight 16 0.54 estriol If a mother has no estriol in her system, her child's predicted birth weight is hundred grams. If a mother's estriol level is 17 mg/24h, her child's predicted birth weight is hundred grams.

Explanation / Answer

no estriol, predicted birtheweight us 16 hundred grams.
(In the regessrion equation when we put estriol = 0, then birthweight = 16)

estriol level = 17 mg/24h, birthweight is 16 + [0.54*(17)] = 16 + 9.18 = 25.18 hundred grams.

Regardless of initial estriol level, 1 mg/24h increase in estriol results in a predicted change in birth weight of 0.54 hundred grams.

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