Question

Suppose that we want to find a regression equation relating systolic blood pressure (y) to weight (x1) and age (x2) and exercise status using the following data (note that only the first 4 rows of data are shown): ↓ C2 C5 C6 C8 Age Exercise Weight Systolic 1 36 1 215 163 2 43 1 127 132 3 47 0 132 138 4 48 2 196 148 Since exercise status is categorical, we first create the following three indicator variables, x7  = { 1 if exercise  =  0 0 if exercise  =  1, 2, or 3 x8  = { 1 if exercise  =  2 0 if exercise  =  0, 1, or 3 x9  = { 1 if exercise  =  1 0 if exercise  =  0, 2, or 3 Using the above indicator variables, the following Minitab output is obtained. Calculate the first residual. ------------------------------------------ Regression Analysis: SYSTOLIC versus AGE, WEIGHT, x7, x8, x9 Predictor Coef SE Coef T P Constant 85.848 4.431 19.38 0.000 AGE 0.50915 0.07250 7.02 0.000 WEIGHT 0.15705 0.03074 5.11 0.000 x7 29.50 6.08 4.85 0.129 x8 15.30 6.73 2.27 0.264 x9 −37.70 6.30 −5.98 0.112 answer to 2 decimal places.

Answer 1