Given statistics:

Here are the solutions to the questions from the image.

Question (b)

Given statistics:
$\sum x = 511$
$\sum y = 314$
$\sum xy = 19,064$
$\sum x^2 = 34,234.5$
$\sum y^2 = 13,036$
$n = 8$

(i) Determine the linear regression equation using the least squares method.

Step 1: Calculate the means $\bar{x}$ and $\bar{y}$.

$$\bar{x} = \frac{\sum x}{n} = \frac{511}{8} = 63.875$$