Explain What Residuals Are $x$ And $y$ Is $y = 5 - 10 x$

Essay

Explain what residuals are. Where do residuals come from?
How are residuals calculated?
Complete the table below by calculating the residuals for the following small data set. The linear model relating $x$ and $y$ is $y = 5 - 10 x$ . $\begin{array}{|l|l|l|} \hline x & y & \text { Residual } \\ \hline 11 & -100 & \\ \hline 5 & -51 & \\ \hline 7 & -63 & \\ \hline 4 & -34 & \\ \hline \end{array}$