So this question is a little different from any of the other questions asked about this topic. I have a simple linear regression in R and it lists the residuals and has 'relatively large' confidence intervals relative to the set of data. I would really like to show the statistical significance of this model and would like a little more than just a nice $p$-value and high $R^2$ value to show, and the confidence intervals diminish this.
- 6 data points, actual graph w/h confidence intervals shaded grey:
- Output from the call to
Would it help to graph the residuals along the normal?
In addition, how useful would it be to share the F statistic or the standard error with the residuals or the intercept to support the statistical validity of my regression despite the sub-optimal confidence intervals?