Statistical regression refers to what type of analysis of variables?

Statistical regression is primarily concerned with modeling the relationship between one or more independent variables and a dependent variable. The correct answer highlights that all variables examined in a typical regression analysis are continuous. This is significant because regression analysis often assumes that the relationships between these variables can be quantified and modeled using a linear or non-linear equation, which requires continuous data.

In regression analysis, continuous variables allow for the calculation of correlations, predictions, and can provide insights into how changes in the independent variables affect the dependent variable. Notably, while categorical variables can also be included in regression analysis (for example, through dummy coding), the foundational concept of regression heavily relies on continuous data to establish and evaluate the strength and nature of the relationships being analyzed. This foundation underscores the importance of selecting continuous variables, especially when seeking to draw detailed conclusions and make predictions based on the model.