question archive A medical item that is used to care for a patient in a hospital is called a factor
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A medical item that is used to care for a patient in a hospital is called a factor. For example, factors can be intravenous tubing, intravenous fluid, needles, shave kits, dressings, medications or even portable defibrillators. The coronary care unit at a hospital in Florida investigated the relationship between the length in days of a coronary patient's hospital stay (variable name STAY), age of patient (AGE), number of factors (FACTOR), and whether or not this was a first coronary hospitalization for the patient (REPEAT = 0 for patients for whom the hospitalization was a first and REPEAT = 1 if they have been previously hospitalized for a coronary problem). Data for 50 patients at the coronary care unit was gathered and a multiple regression model with STAY as the dependent variable and AGE, FACTORS, and REPEAT as the independent variables was estimated. The output for this model is shown in the tables on the next page. 2 Regression Statistics Multiple-R R Square Adj.RSqr StErr of Est Cases # missing 0.849 0.721 0.702 1.433 50 0 Summary Table Variable Coeff. Std.Err. Constant −7.087 −1.486 AGE 0.151 0.021 FACTOR 0.013 0.002 REPEAT 0.979 0.414 Analysis of Variance Source df Sum Sqrs mean Sqr F P-Value Regression 3 243.901 81.3 39.567 0.000 Residual 46 94.519 2.055 Total 49 338.42 (a) Test the overall significance of this regression model at α = 0.02. (b) Find a 90% confidence interval on the impact of an additional year of age on the expected length of stay of a coronary patient. (c) A 72 year old man is to go into the hospital for his first coronary hospitalization. He will require 120 factors. Write out a 95% prediction interval for his length of stay. (d) The hospital administrator tells Blue Cross Insurance that the expected increase in hospital stay for coronary patients who are hospitalized for a repeat surgery (relative to those who are hospitalized for the first time) is more than or equal to 2 days. Does the regression output provide sufficient evidence to reject the claim at the α = 0.1 level?