1. Simple Linear Regression F-Test for Lack-of-Fit
Breaking Strength as Related to Water Pressure for Fiber Webs
M.S. Ndaro, X-y. Jin, T. Chen, C-w. Yu (2007). "Splitting of Islands-in-the-Sea Fibers (PA6/COPET) During Hydroentangling of Nonwovens," Journal of Engineered Fibers and Fabrics, Vol. 2, #4

2. Data Description
Experiment consisted of 30 experimental runs, 5 replicates each at water pressures of 60, 80, 100, 120, 150, 200 when the fiber is hydroentangled
Response: Tensile strength (machine direction) of the islands-in-the-sea fibers

4. Regression Estimates and Sums of Squares

5. Decomposition of Error Sum of Squares

6. Matrix Form of Decomposition of SSE - I

7. Matrix Form of Decomposition of SSE - II

8. Matrix Form of Decomposition of SSE - III

9. Lack-of-Fit Test for Fibre Data