How to compute Simple Linear Regression equation not using Least Squares Estimators? I know how to compute the Simple Linear Regression (SLR) equation using Least Squares Estimators, $b_0$ and $b_1$.
But I was given the following table:
$$
\begin{array}{c|lcr}
 & \text{mean} & \text{stdev} & \text{correlation} \\
\hline
x & 163.5 & 16.2 & -0.774\\
y & 874.1 & 54.2 & \\
\end{array}
$$
How to compute the SLR equation using the above table?
(The answer is $\widehat y = 1297.49-2.59x$)

It's simple. Here you are
$$b_1=r_{xy}\frac{S_y}{S_x}= (-0.774)( \frac{54.2}{16.2})=-2.59$$
$$b_0=\bar Y-b_1\bar X=874.1-(-2.59)(163.5)=1297.565$$
$$So, \hat y=1297.565−2.59x$$
