I have just performed some (very) simple linear regression in Genstat and would like to include a succinct and meaningful summary of the output in my report. I'm not sure exactly what or how much of the information I should be including.
The main bits of my Genstat output look like this:
Summary of analysis Source d.f. s.s. m.s. v.r. F pr. Regression 1 8128935. 8128935. 814.41 <.001 Residual 53 529015. 9981. Total 54 8657950. 160332. Percentage variance accounted for 93.8 Standard error of observations is estimated to be 99.9. Estimates of parameters Parameter estimate s.e. t(53) t pr. Constant 41.5 30.7 1.35 0.182 UKHR_Ref 0.8659 0.0303 28.54 <.001
I was intending to report this simply as:
Adjusted R2 = 0.94 (slope = 0.87, p < 0.001; intercept not significantly different from 0).
but a colleague has suggested that I should also include at least the
root mean squared error (which I believe in this case is equal to the standard error of the observations i.e. 99.9?).
Does including the RMSE provide additional useful information, or is the goodness of fit already adequately explained by the adjusted-R2 value?
Are there hard-and-fast rules for how much information to report, or is it fairly subjective?
Thanks very much!