Question: Age is X GPA is Y

Age GPA

37 3.4
45 4.0
38 3.5
40 3.8
36 3.5
30 4.0
43 4.0
41 3.8
46 3.8
32 4.0
37 2.9
43 3.4


Gather information from each person in the class on their respective ages and grade point averages (GPAs) (note: neither bit of information needs to be true, necessarily!). Assume that age is the independent variable, and draw a scatter diagram of age and GPA.

Estimate a simple linear regression model to explain the relationship between age and GPA. Calculate and interpret the coefficient of correlation, the coefficient of determination, and the standard error of estimate. Conduct a test of hypothesis to determine whether the coefficient of correlation in the population is zero. Construct and interpret confidence intervals and prediction intervals for the dependent variable, GPA.