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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.
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