申論題

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.

(1) Interpret the linear regression of recovery time on dosage level (Y=73.65-36.98X),and find the t-value of the slope estimated (Hint: the standard error of the slope is 12.2173). (10 points)