Suppose you are given data from a survey showing the IQ of each person interviewed and the IQ of his or her mother. That is all the information you have. Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?
Let x_i be the IQ of the ith person interviewed and y_i be the IQ of his or her mother. Make a scatter plot of the points (x_i, y_i). Compute and plot the regression line y = a + bx, where a and b are given by the following formulas:
a = (<xy> - <x><y>)/(<x^2> - <x>^2)
b = <y> - ...
We discuss how one might go about analyzing the results of plotting a group of randomly-chosen people's IQs along with those of their mothers.