Ex 1. State the three assumptions that are the basis for the Simple Linear Regression Model.
Ex 2. The Simple Linear Regression Model is summarized by the equation
y=β1​x+β0​+ε
Identify the deterministic part and the random part.
Ex 3. Is the number β1β1 in the equation y=β1​x+β0​ a statistic or a population parameter? Explain.
Ex 4. Is the number σ in the Simple Linear Regression Model a statistic or a population parameter? Explain.
Ex 5. Describe what to look for in a scatter diagram in order to check that the assumptions of the Simple Linear Regression Model are true.
Ex 6. True or false: the assumptions of the Simple Linear Regression Model must hold exactly in order for the procedures and analysis developed in this chapter to be useful.