Is this equation special somehow?

$$\frac{\sum{xy}}{\sum{x}}$$

Can this be simplified or written alternately?

Or is this its most basic form already?

Sorry for not using the right mathematical terms here... mainly wondering if I should try to simplify this further before implementing in SIMD software

EDIT: Summation over finite Number of items, not infinite summation

• What's the index of the summation? If it's $x$, then the sum just equals $y$: $$\frac{\sum_{x=1}^N xy}{\sum_{x=1}^N x} = y$$ Jun 26, 2022 at 0:01
• Assuming that $x_i$ is a weight then it's the weighted average of $y_i$. For example, if $x_i=1$, it's the standard mean. Apart from that, I don't see much other information here.
– PC1
Jun 26, 2022 at 0:08
• It is an expression not an equation, and might be better written $\dfrac{\sum\limits_{i=1}^n x_iy_i}{\sum\limits_{i=1}^n x_i}$ or perhaps $\dfrac{\mathbf{x \cdot y}}{\mathbf{x \cdot 1}}$ Jun 26, 2022 at 0:28

It is the result of doing a linear least squares fit of $$y=ax$$ to a set of $$(x, y)$$ data points.