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Perform the F test to determine whether or not there is lack of fit of a linear regression function; use a significant level of 0.025. Compute the test statistic, reject region, and estimate the p-value. Is the model lack of fit for the data?

What is the null hypothesis and alternative hypothesis here? I found $F$ using R with anova(datR.mod,datF.mod), where datR.mod is the reduced model and datF.mod is the full model. I presume that this $F$ is the test statistic? And the rest follows from this.

Any help is appreciated, thank you.

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  • $\begingroup$ Does the original really say "significant level"? $\endgroup$
    – Glen_b
    Commented Jun 30, 2019 at 22:54
  • $\begingroup$ @Glen_b Yes, copied verbatim $\endgroup$
    – hkj447
    Commented Jun 30, 2019 at 23:55
  • $\begingroup$ Okay, thanks. If it were me, after the word "significant" I'd add "[sic]" (Latin for "thus") to clarify that the error was present in the original, but I'll leave that choice up to you. $\endgroup$
    – Glen_b
    Commented Jul 1, 2019 at 1:00

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