(Error Term): Also known as the residual, this accounts for the variation in that the independent variable cannot explain. 2. Moving to Multiple Linear Regression
(Slope/Coefficient): This represents the rate of change. It tells you how much
is zero. On a graph, this is where the line crosses the vertical axis. regression equation
It helps determine the value of the dependent variable when the independent variable is known.
The variance of the error terms should be constant across all levels of Normality: The errors should follow a normal distribution. (Error Term): Also known as the residual, this
In the real world, outcomes are rarely determined by a single factor. To account for multiple influences, we use . The equation expands like this:
The most common form is the simple linear regression equation, which models the relationship between two variables using a straight line. The formula is: Y=a+bX+ϵcap Y equals a plus b cap X plus epsilon It tells you how much is zero
The regression equation isn't just a theoretical exercise; it serves three primary purposes in data analysis: