What is the main purpose of a regression equation?

The main purpose of a regression equation is to predict future dependent variable values from independent variables. In this context, a regression equation establishes the relationship between the dependent variable (the outcome we are trying to predict) and one or more independent variables (the factors we think might influence that outcome). Through statistical analysis, regression helps identify how changes in the independent variables are expected to impact the dependent variable, allowing businesses and researchers to make informed predictions and decisions based on this analysis.

Regression analysis is widely used in various fields, including finance, marketing, and economics, for forecasting and trend analysis. By estimating coefficients associated with independent variables, it allows for the interpretation of how much the dependent variable is likely to change as the independent variables change.

The other options do not accurately define the primary function of a regression equation. While past financial summaries, total revenue calculation, and market share determination are important aspects of business analysis, they do not directly relate to the predictive and relational capabilities that regression equations provide.