What is the graph called that represents a multiple regression equation?

The graph representing a multiple regression equation is referred to as a response surface. This type of graph is particularly useful when visualizing the relationship between one dependent variable and two or more independent variables. In a response surface, you can visualize how changes in the independent variables affect the dependent variable, often displaying it as a three-dimensional surface where the axes represent the independent variables and the height or depth of the surface represents the value of the dependent variable.

A response surface allows for a more comprehensive view of complex relationships in multiple regression scenarios, illustrating how different combinations of independent variable values influence the outcome. This is especially important in fields like business, where multiple factors can impact performance metrics and decision-making.

In contrast, while the regression line applies to simple linear regression with two variables, and a scatter plot represents data points for visualization, these do not adequately capture relationships involving multiple variables. A control chart is used for monitoring processes over time and is not related to regression models.