6. (30 points in total) Doctors are interested in the relationship between the dosage of a medicine and the time required for a patient's recovery. The following table shows, for a sample of 10 patients, dosage levels (in grams) and recovery times (in hours). These patients have similar characteristics except for medicine dosages.
(2) Find and interpret a 90% confidence interval for the slope of the population regression line. Discuss how the critical values of the confidence interval are determined. (15 points)