The data below gives the number of pages, $x$, and the cost, $y$, for a sample of six textbooks. Note that the data given in this problem is not necessarily the same as in the other problems.
\begin{tabular}{|l|c|c|c|c|c|c|}
\hline pages, $\mathrm{x}$ & 889 & $\mathrm{r} 10$ & 614 & 633 & 500 & 577 \\
\hline Cost,y & $\$ 189$ & $\$ 112$ & $\$ 152$ & $\$ 156$ & $\$ 123$ & $\$ 126$ \\
\hline
\end{tabular}
Find the equation of the regression line, $y=a x+b$, for the data. Round the values of $a$ and $b$ to the nearest thousandth.
$y=2.170 x+10.153$
$y=0.170 x+40.153$
$y=0.70 x-0.153$
$y=-0.170 x+4.153$

Step 1 ：The given data provides the number of pages, denoted as \(x\), and the cost, denoted as \(y\), for a sample of six textbooks. The data is as follows: \n\n\begin{tabular}{|l|c|c|c|c|c|c|}\n\hline pages, \(x\) & 889 & 1010 & 614 & 633 & 500 & 577 \\n\hline Cost, \(y\) & \$189 & \$112 & \$152 & \$156 & \$123 & \$126 \\n\hline\n\end{tabular}

Step 2 ：We are asked to find the equation of the regression line, \(y=ax+b\), for the data. The values of \(a\) and \(b\) should be rounded to the nearest thousandth.

Step 3 ：To find the equation of the regression line, we need to calculate the slope (\(a\)) and the y-intercept (\(b\)). The slope is the correlation coefficient (\(r\)) times the standard deviation of \(y\) divided by the standard deviation of \(x\). The y-intercept is the mean of \(y\) minus the slope times the mean of \(x\).

Step 4 ：By performing these calculations, we find that \(a = 0.018\) and \(b = 130.499\).

Step 5 ：Thus, the equation of the regression line is \(y=0.018x + 130.499\).

Step 6 ：\(\boxed{y=0.018x + 130.499}\) is the final answer.