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Read the original residual quantity
The original five-period fit gives residual standard error √(1.2/3)≈0.632456 percentage points. This estimates a response-error scale under the usual model interpretation; it is not itself a beta uncertainty amount.
Retain the extra coefficient calculation
Under the conventional homoskedastic straight-line assumptions, slope standard error uses residual scale divided by √Sxx. It has the slope’s unit structure rather than the response-return unit alone. The calculator does not report a significance test or interval.
Check the labels
| Quantity | Object |
|---|---|
| Residual standard error | Response deviations around the fitted line |
| Slope standard error | Uncertainty of the estimated coefficient under assumptions |
| Prediction uncertainty | Uncertainty for an outcome at a chosen X |
Use the requested model and assumptions
Do not read a residual number as a confidence interval for beta or as a forecast loss bound. Identify the inference task, degrees of freedom and relevant assumptions before using coefficient or prediction formulas.