A regression result is only as good as the assumptions behind it. Influential observations can pull the line toward themselves. Correlated predictors inflate the standard errors until nothing looks significant. Non-constant variance makes the confidence intervals meaningless at one end of the range. The coefficients might look fine while the conclusions are wrong — and without diagnostics, you won’t know.
That’s why regression needs to be iterative: fit a model, examine whether the assumptions hold, identify what’s distorting the result, adjust, and re-fit. Not a single pass from data to p-value, but a cycle of building and checking until the model earns your confidence. Simple through multiple regression, ANOVA, ANCOVA, and logistic regression all work this way — the same diagnostic tools apply regardless of the model structure.
See regression results in detail — parameter estimates, leverage plots, residual diagnostics, and influence analysis — using real datasets you can download and follow along with.
Simple regression — power fitRegression is one part of a complete statistical analysis toolkit. The Standard edition also includes ANOVA and ANCOVA, logistic regression, PCA and factor analysis, descriptive statistics, hypothesis testing, correlation, and categorical data analysis. See everything in the Standard edition →