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.
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