I know, for many of us, when we first encounter these two terms it is a bit hard to understand the difference, especially because sometimes both unobserved errors, but also residuals are simply called “errors”.

Therefore, a **statistical error** (also called** disturbance**) of an observed value is the deviation from the true (**unobservable**) value of a quantity of interest (i.e. a population mean).

**Residual** (**fitting deviation**) is an **observable** estimate of the unobservable statistical error, English speaking residual is the* difference* between the *observed value* and the *estimated value* of the quantity of interest.

**Acknowledgments:**

Wiki

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