Given n=12 data points, including (63, 112), (66, 111), (72, 107), and (52, ?), find the linear regression equation y = a + bx.

To find the values of $b$ and $a$ for a linear regression equation $y = a + bx$, we use the following formulas:

$$b = \frac{n(\sum xy) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}$$ $$a = \frac{\sum y - b(\sum x)}{n}$$

First, we need to calculate the sums of $x$, $y$, $xy$, and $x^2$ from the given data. There are $n=12$ data points.

The data points $(x, y)$ are:
(63, 112), (66, 111), (72, 107), (52