A dataset shows the number of capital letters that a student can write in $15$ seconds using the non$-$dominant hand $($X$)$ versus the same thing for the dominant hand $($Y$).$ The data is for $63$ students. Here is computer output:

Regression Equation:

dom

$=$

$22\mathrm{.}69+0\mathrm{.}876$ nondom

Prediction intervals for x $=20$:

Fit SE Fit $95\%$ CI $95\%$ PI

$40\mathrm{.}21331\mathrm{.}21275(37\mathrm{.}7883,42\mathrm{.}6384)(29\mathrm{.}8256,50\mathrm{.}6010)$

Using the information above, what is the best choice for the explanation of what the $95\%$ P$.$I. for x$=20$ means, in this case: