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Simple Linear Regression F-Test for Lack-of-Fit

Simple Linear Regression F-Test for Lack-of-Fit. Breaking Strength as Related to Water Pressure for Fiber Webs

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Simple Linear Regression F-Test for Lack-of-Fit

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  1. Simple Linear RegressionF-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

  3. Regression Estimates and Sums of Squares

  4. Decomposition of Error Sum of Squares

  5. Matrix Form of Decomposition of SSE - I

  6. Matrix Form of Decomposition of SSE - II

  7. Matrix Form of Decomposition of SSE - III

  8. Lack-of-Fit Test for Fibre Data

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