a. 0.8 higher b. 2 higher c. 0.8 lower d. 2 lower e. 0.4 lower You are asked to

Question

a. 0.8 higher

b. 2 higher

c. 0.8 lower

d. 2 lower

e. 0.4 lower

You are asked to predict the patient's satisfaction of a hospital, which is found to be associated with the patient's age and severity of illness, and their relationships can be modeled by the following multiple regression model. Y=80 + 0.2x1-04X2 where Y is the patient's satisfaction score, X1 is the patient's age, and X2 is the patient's severity of illness. Given above information, if both patient A and patient B are 50 years old, and patient A's severity level of illness is evaluated to be 8 while patient B's severity level of illness is 6, then patient A's satisfaction score will be_than that of patient B. IS

Explanation / Answer

For patient A, X1 = 50 and X2 =8

For patient B, X1 = 50 and X2 = 6

A's satisfaction score = 80 + 0.2X1 - 0.4X2

= 80 + (0.2 x 50) - (0.4 x 8)

= 80 + 10 - 3.2

= 90 - 3.2

= 86.8

B's satisfaction score = 80 + 0.2X1 - 0.4X2

= 80 + (0.2 x 50) - (0.4 x 6)

= 80 + 10 - 2.4

= 90 - 2.4

= 87.6

So patient A's satisfaction score is lower than patient B's score by 87.6 - 86.8 = 0.8

So the answer is option c

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