Recent research into the cost of various medical procedures has shown the impact of certain complications encountered in surgery on the total cost of a patient's stay in the hospital. The researchers used regression analysis and found the following results:

Total cost for patient = Constant, plus

a Length of stay (measured in days), plus

b Presence of one or more complications (= 1 if true, 0 if false), plus

c Use of a laparoscope (= 1 if true, 0 if false)

wherea,b,care coefficients of the regression model. The laparoscope is an instrument somewhat like a miniature telescope with a fiber-optic system that brings light into the abdomen. It is about as big around as a fountain pen and twice as long.

The research, based on 64 patients, showed the following regression results:

R-squared: 57%

Constant term: $3,849

Coefficients andt-values for independent variables: