2. Say we have a single continuous response variable, systolic blood pressure SB

Question

2. Say we have a single continuous response variable, systolic blood pressure SBP, and two ex- planatory variables, the height of a subject (HT, in inches) and the weight of a subject (WT, in pounds) The following regression model is fit: You obtain estimates 0, 1, 2 and 3-Answer the following. a. What is the estimated expected blood pressure for someone who is 70 inches tall and weighs 150 pounds? b. Interpret A-Is this a useful interpretation with respect to the context of the problem? c. Interpret the estimated effect of height (HT) on the expected blood pressure (SBP). Assume the person weighs 150 pounds d. Interpret the estimated effect of weight (WT) on the expected blood pressure (SBP). Assume the person is 70 inches tall

Explanation / Answer

a) Estimates B = B0 + 70B1 + 150B2 + 70*150 B3 = B0 + 70B1 + 150B2 + 10500 B3

b) B0 is the default BP when height=weight=0. No, it is not useful as a person can't have 0 height or weight.

c) Taking derivative with height . dSBP/dHT = B1+150B3

d) Taking derivative with weight. dSBP/dHT = B2+70B3

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