Regression analysis is an extremely valuable quantitative tool.

Regression analysis is an extremely valuable quantitative tool. Briefly discuss the following using a real world example:

- How the coefficient of determination and the correlation coefficient are related and how they are used in regression analysis.

- How scatter diagrams can be used to identify the type of regression to use.

- The methods used to determine if the regression model is a good model for the presented dependent and independent variable(s).