You are asked to predict the patient\'s satisfaction of a hospital, which is fou

Question

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 + 0.2x1-0.4 x2 where Y is the patient's satisfaction score, Xy 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 bethan that of patient B Select one: a. 2 higher b. 0.4 lower c. 2 lower d. 0.8 lower e.0.8 higher

Explanation / Answer

For patient A, X1 = 50 and X2 = 8

For patient B, X1 = 50 and X2 = 6

So,using the above multiple regression model

Satisfaction score for patient A = 80 + 0.2X1 - 0.4X2

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

= 80 + 10 - 3.2

= 90 - 3.2

= 86.8

Satisfaction score for patient B = 80 + 0.2X1 - 0.4X2

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

= 80 + 10 - 2.4

= 90 - 2.4

= 87.6

Therefore patient A's score will be lower than that of patient B's score by 87.6 - 86.8 = 0.8

So the answer is option d

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