lack of fit test issues

[#1]

Hello, I urgently need an answer before the deadline of my task. any quick answer will be highly appreciated.  the lack of fit test p-value and F ratio are missing. what could this means. I have attached a screenshot of the results.

[#2 · Accepted solution]

The Lack of Fit test is based on an analysis of variance. The test statistic is the F ratio. It compares the mean square for the pure error to the mean square for the lack of fit by ratio. Your mean square for pure error is 0. There is no variation between the replicate values.

[#3]

Thanks Mark. In other words, all I can interpret from the 'lack fit results' is that there is no variation between the replicants? What justification can I use to support the claim that there is no lack of fit then?

[#4]

The lack of fit test, when possible, provides some evidence to decide if the estimated errors (residuals) in the current model are entirely random effects or a mixture of random and fixed effects. If it is the latter case, then the problem is model bias. All models should be validated with new empirical observations. Use the selected model to predict the outcome for factor levels / combinations that were not included in the data set that trained the model. Do the predictions confirm?