Stat 3411 Fall 2007 Assignment 3 BC 4 Pressure Density Predicted Residual

2000 2.486 2.4724 0.01362000 2.479 2.4724 0.00662000 2.472 2.4724 -0.00044000 2.558 2.5698 -0.01184000 2.57 2.5698 0.00024000 2.58 2.5698 0.01026000 2.646 2.6672 -0.02126000 2.657 2.6672 -0.01026000 2.653 2.6672 -0.01428000 2.724 2.7646 -0.04068000 2.774 2.7646 0.00948000 2.808 2.7646 0.0434

10000 2.861 2.862 -0.00110000 2.879 2.862 0.01710000 2.858 2.862 -0.004

BC 5 Using equation 4.21 Canard Tail Predicted

0.5 0.5 3.73045 2.5 2.5 2.41765

We would have more faith in the first prediction, since the second prediction is extrapolating outside the range of the original experiment's X values. Note: In checking my answer, it turns out that equation 4.21 has a typo. The coefficient of x1 should be 0.05361 instead of 0.5361.