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Medicine and Clinical Studies Golden Rule medical insurance company recently investigated the…


Medicine and Clinical Studies Golden Rule medical insurance company recently investigated the relationship between the number of patients per registered nurse in a hospital and the patient’s length of stay. A random sample of hospitals was selected, and the number of patients per registered nurse was computed (x). A patient was randomly selected for each hospital, and the length of stay was recorded (y, in hours).

a. Construct a scatter plot for these data, and describe the relationship between the two variables.

b. Find the estimated regression line.

c. Find a 99% prediction interval for an observed length of stay if the number of patients per nurse is 3.7.

d. Find a 99% prediction interval for an observed length of stay if the number of patients per nurse is 3.3.

e. Why is the prediction interval in part (c) wider than the prediction interval in part (d)?