5. If you did not cover Section 9.4, Multiple Regression, omit this problem.

For many applications in statistics, more data lead to more accurate results. In multiple regression, we have more variables (and data) than we have in most simple regression problems. Why will this usually lead to more accurate predictions?

Will additional variables always lead to more accurate predictions?

Explain your answer. Discuss the coefficient of multiple determination and its meaning in the context of multiple regression. How do we know if an explanatory variable has a statistically significant influence on the response variable?

What do we mean by a regression model?