The ref() function in dbt is used to declare dependencies between models. When a model uses ref('other_model'), dbt knows it must build 'other_model' first. This creates a dependency graph that dbt uses to run models in the right order. For example, if 'orders' model uses ref('customers'), dbt builds 'customers' before 'orders'. This prevents errors and ensures data is fresh. If ref() is missing, dbt might build models in the wrong order, causing problems. The execution table shows each step: detecting dependencies, building dependent models, and completing execution. The variable tracker shows how the dependency graph and model statuses change step-by-step. Remember to always use ref() to link models in dbt projects.