3. A hospital administrator wished to study the relation between patient satisfaction (y) and patient's age (21, in years), severity of illness (12, an index), and anxiety level (13, an index). The administrator randomly selected 46 patients and collected the data presented below, where larger values of y, 22, and 13 are, respectively, associated with more satisfaction, increased severity, and more anxiety. 1 i: ... 45 1 2 50 36 51 2.3 2.3 48 57 Cli 22i T Yi 46 37 53 2.1 59 46 28 46 1.8 92 (The full data set has been sent as attached file: Patient.txt.) Fit regression model for three predictor variables to the data and state the estimated regres- sion function. 3. A hospital administrator wished to study the relation between patient satisfaction (y) and patient's age (21, in years), severity of illness (12, an index), and anxiety level (13, an index). The administrator randomly selected 46 patients and collected the data presented below, where larger values of y, 22, and 13 are, respectively, associated with more satisfaction, increased severity, and more anxiety. 1 i: ... 45 1 2 50 36 51 2.3 2.3 48 57 Cli 22i T Yi 46 37 53 2.1 59 46 28 46 1.8 92 (The full data set has been sent as attached file: Patient.txt.) Fit regression model for three predictor variables to the data and state the estimated regres- sion function