**Try these parameter values:**

**Negative Functional Relationship**

slope -0.5

intercept: 4

**Positive Functional Relationship**

slope: 0.5

intercept: 4

Typically, a **simple linear regression** is performed when one wishes to determine the functional linear relationship between an independent variable and a dependent variable. This relationship is best expressed in an equation of the form:

An equation of this form is valuable because it can be used to predict the value of the dependent variable (Y), given a value of the independent variable (X). The **slope** (b) and the **Y intercept** (a) of this best fit line are calculated as follows:

**Adjust the slope and intercept of the best-fit line to the right:**

Notice that the slope and Y-intercept are independent of each other.

Also note that the equation for the best-fit line indicates the functional relationship between the independent and dependent variables, and not how well the points fit to the regression line.