Consider the following sample of twelve children with congenital heart defects w

Question

Consider the following sample of twelve children with congenital heart defects who undergo heart cauterization. For each child, the exact catheter length required was determined by using a fluoroscope to check that the tip of the catheter had reached the pulmonary artery. The twelve catheter lengths (cm) and the heights (in) for the twelve children are given in the table. A least squares fit of catheter lengths on height produced. Compute the residuals for this sample and using only the residuals, calculate the residual mean square.

First column child 1-12; Second column y Catheter Lengths 37.0; 49.5; 34.5; 36.0; 43.0; 28.0; 37.0; 20.0; 33.5; 30.5; 38.5; 47.0

3rd column Height X; 42.8; 63.5; 37.5; 39.5; 45.5; 38.5; 43.0; 22.5; 37.0; 23.5; 33.0; 58.0

Explanation / Answer

The regression equation is
Catheter Length = 12.1 + 0.597 Height

Residual mean square= 16.07

Residuals are given as

RESI2
-0.66543
-0.51838
-0.00259
0.30389
3.72332
-7.09935
-0.78478
-5.55117
-0.70421
4.35207
6.68283
0.26380

The whole fitting problem can be done by using Minitab by the following code:

Stat-Regression-Regression

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