To begin we shall determine the mean of both the x values and the y values as follows;

The mean of the x values is 10.67 while the mean of the y values is 27.09.
Next we c alculate x minus mean of x for every single x value, and do the same for the y values. This is shown below;

We do the same for the y values as shown below;

Next step is to multiply each value derived above line by line as follows;

We would now have;

We sum this all together to arrive at;

Next step we square and add up all 11 terms of the x values minus the mean of x, as follows;

We can now calculate the slope which is given by the formula;

We can now insert these values into the equation in slope-intercept form in order to derive the y-intercept as follows;

ANSWER:
The equation that gives the line line of best fit therefore is;
