Which of the following best describes independent

Solution

Explanation: Independent variables, also known as predictors or explanatory variables, are inputs or factors that are manipulated or observed to understand their effect on the dependent variable (outcome). For example, in a study analyzing the impact of advertising budget (independent variable) on sales revenue (dependent variable), the budget is varied to predict its influence on sales. Understanding independent variables is crucial for building predictive models, determining causality, and analyzing relationships. Proper identification of independent variables ensures the reliability and validity of statistical and machine-learning models. Option A: Variables changing in response to others are dependent, not independent. Option C: Constant variables do not vary and hence do not fit the dynamic nature of independent variables. Option D: Variables representing populations are not necessarily independent variables; they could be metadata. Option E: Independent variables have a measurable impact, contrary to what this option suggests.