Can I infer any information about the correlation between the following two variables?

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Consider the following bounded variable $m_1$:

$a<m_1<x$

and the following bounded variable $m_2$:

$x<m_2<b$

where $a,b,x, m_1$ and $m_2$ are all real and positive.

Consider the function

$y=\frac{m_1}{m_2}$

Is there any way to do any inferences about the correlation between $x$ and $y$?

Thank you

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The two given inequations imply $$\frac ab<y<1.$$

If you make a plot with the hidden variables $m_2,m_1$ for the axis, and draw a line from the origin, the slope is $y$. The locus of $(m_2,m_1)$ is a rectangle delimited by the verticals at $x$ and $b$, and the horizontals at $a$ and $x$. This rectangle is inscribed in the triangle defined by $a$, $b$ and the first bissector.

For a given $x$, the point can be anywhere in the rectangle and the slope can cover the full range $\left[\dfrac ab,1\right]$.

So without more constraints, $x$ and $y$ are completely independent.

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