Which type of decision rule is designed to predict customer response to an offer based on existing data?

The correct choice is the predictive model, which is specifically designed to analyze existing data and forecast future outcomes, such as customer responses to specific offers. Predictive models utilize historical data to identify patterns and trends, allowing businesses to make informed decisions based on likely future behaviors. By employing statistical techniques and algorithms, these models can estimate the probability that a customer will accept an offer, helping companies tailor their marketing strategies effectively.

In contrast, an analytical model generally refers to a broader category of models used for various analyses beyond mere predictions, such as performance evaluation or risk assessment. A map value is used for mapping input values to output, which does not focus on predicting outcomes but rather on translating data points. When rules are primarily designed for automation of decisions in business processes and do not inherently utilize past data to predict future behavior, making them unsuitable for the specific task of forecasting customer response.