Final answer:
The regression model is typically created during the Model Development step, where equations are used for making predictions. Models simplify analysis and provide quick predictions, but may be erroneous if improperly validated.
Step-by-step explanation:
When building a predictive model, the regression model is created during the Model Development step. This step involves selecting the appropriate algorithms and techniques to build the model based on the patterns found in the data. It's here that the mathematical equations — typically linear or logistic regression for structured data — are devised to perform the predictions.
Models are used for predictions because they are simpler to analyze than complex real systems and can provide predictions quickly. However, the disadvantage is that models might make erroneous predictions if not properly validated or based on inadequate data.
The term 'analytical modeling' describes the use of mathematical equations in modeling linear aspects of ecosystems, which is often a part of the Model Development phase.