For each of 12 children, the columns denote the height of the child (inches), the weight of the child (pounds) and the distance to the pulmonary artery (centimeters).
height weight distance 42.8 40.0 37.0 63.5 93.5 49.5 37.5 35.5 34.5 39.5 30.0 36.0 45.5 52.0 43.0 38.5 17.0 28.0 43.0 38.5 37.0 22.5 8.5 20.0 37.0 33.0 33.5 23.5 9.5 30.5 33.0 21.0 38.5 58.0 79.0 47.0(The data are from Section 14.5 of the text "Mathematical Statistics and Data Analysis" by Rice.)
Write yi for the distance, hi for the height, and wi for the weight of the ith child.
The Minitab output from the regression of distance on height and weight contains the following:
The regression equation is distance = 21.0 + 0.196 height + 0.191 weight S = 3.943 R-Sq = 80.5% R-Sq(adj) = 76.2% Source DF SS MS F P Regression 2 578.82 289.41 18.62 0.001 Residual Error 9 139.91 15.55 Total 11 718.73 Source DF Seq SS height 1 558.06 weight 1 20.75
21.0 + 0.196 height + 0.191 weight,can be obtained from the coefficients a0, a1, c0, c1, and d1. Hint: Eliminate f and g from the equations in (i), (ii), and (iii).
Source DF Seq SS height 1 558.06 weight 1 20.75is related to steps (i), (ii), (iii).