• Introduce the basics of regression
• Define covariance and correlation
• Introduce the method of least squares and the simple linear model
• Present hypothesis tests for claims about the simple linear model
• Discuss methods of nonlinear regression
• Introduce basic concepts of multiple regression
Often in life, we look for relationships. For instance, we might ask the following questions:
• Is weight related to heart disease?
• Is time spent studying for a standardized exam related to scores?
• Is the number of home runs hit in a ball park related to the altitude of the park?
Note that all these quantities (weight, time, scores, and so on) are random variables. In more general ...