Example (slope and y-intercept of the regression line)

Given the following set of data points find the equation of the regression line in the form y = mx + b.

Table 1: Data Points
x y x*y x**2
1 2 2 1
2 3.5 7 4
3 5 15 9
4 5 20 16
5 3 15 25
6 4.5 27 36
7 6 42 49
8 5.5 44 64
9 7 63 81
10 8 80 100

With the number of data points n=10

The equation of the regression line is

y = 0.518x + 2.1