vault backup: 2023-12-19 14:05:30
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@ -29,9 +29,9 @@ If $x$ is above average, we expect the $y$ to be above average if there's a stro
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## Calculating $r$ by hand
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Put the $x$ values into $L1$, put the $y$ values into $L2$.
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1. Convert the $x$ each x value in the list to standard units($z$). Convert each $y$ value to standard units.
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1. Convert the $x$ each x value in the list to standard units($z$). Convert each $y$ value to standard units. This will create two new tables containing $z_x$ and $z_y$.
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$$ z = \frac{x-\bar{x}}{\sigma_x} $$
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2. Multiply the standard units for each ($x$, $y$) pair in the sets, giving you a third list, named $p$ in this example.
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2. Multiply the standard units for each ($z_x$, $z_y$) pair in the sets, giving you a fifth list, named $p$ in this example.
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$$ x * y = p$$
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3. Find the average of the values from step 3, this is $r$.
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$$ \bar{x}(p) $$
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