1. Following data are related to a study to characterize acute hepatitis A in patients more than 40 years old. The data related to age and bilirubin levels (mg/dl) were collected and given as: Age (years) 78 72 81 59 64 48 4455 46 42 58 52 Bilirubin (mg/dl) 7.5 12.9 14.3 8 14.1 10.9 12.3 1 5.2 5.1 Age (years) 44 42 45 78 47 50 57 52 48 45 Bilirubin (mg/dl) 7 1.8 0.8 3.8 3.5 5.1 16.5 3.5 5.6 1.9 a) Prepare the scatter diagram for the above data. Does the scatter diagram exhibit a linear relationship between the Age and bilirubin level of the patients? b) Estimate the age of the patient if the bilirubin level has been observed as 13.5 mg/dl by finding the appropriate regression equation c) Estimate the bilirubin level if the age of the patient is 65 years by finding the appropriate regression equation