Find the equation of Best fit for the data in the table​

The equation of the line is .

Step-by-step explanation:

The data of the table represents a line, also known as a linear function or a first order polynomial if and only if the following property is satisfied:

(1)

Now we proceed to check if the table represents a line instead of another kind of function:

Hence, the data represents a line. From Geometry we know that the equation of the line can be obtained by knowing two distinct points. The formula of the line is described below:

(2)

Where:

- Independent variable.

- Dependent variable.

- Slope.

- y-Intercept.

If we know that and , then we have the following system of linear equations:

(1)

(2)

The solution of the system of linear equations is: , .

The equation of the line is .