Significance of regression coefficients

When estimating the significance of regression coefficients, these equations are used ... 

A check of statistical significance of regression coefficients for reproducibility var-... 

Other regression coefficients are determined in accord with formulas for orthogonal designing. A check of significance of regression coefficients is given in Sect. 2.4.1, and the check of lack of fit of regression model is in Sect. 2.4.3. 

A check of statistical significance of regression coefficients (Sect. 2.4.2), indicates that regression coefficients bn and b22 are statistically insignificant. The final form of the second-order regression model with 95% confidence may be given in the form ... 

The obtained regression model is adequate with 95% confidence. A check of significance of regression coefficients, in accord with Sect. 2.4.2, is completed thus ... 

A tabular value FT=1.85 is obtained for fAD=10 and fE=25(25-l)=600 from Table E. The regression model is with 95% confidence adequate because FRstatistical significance of regression coefficients, use formulas from Sect. 2.4.2. 

A check of significance of regression coefficients shows that with 95% confidence the following regression coefficients are statistically significant b0 hi b2 b3 b12 and b22. The second-order regression model has this form ... 

As said before, linear models are used to reach (move towards) optimum, so that the significance of regression coefficients is an assumption for successful application of the steepest ascent method. Linear models, therefore, include as many factors as possible, and full factorial experiments are even replicated with increased factor variation intervals. 

The linear model by application of FRFE 24-1 was obtained in Problem 2.19. After checking the significance of regression coefficients, this linear model has been obtained ... 

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