Exercises

Author(s)

David M. Lane

Prerequisites

All material presented in the Graphing Distributions chapter



1. What are Q-Q plots useful for?

2. For the following data, plot the theoretically expected z score as a function of the actual z score (a Q-Q plot).

0
0
0
0
0
0
0.1
0.1
0.1
0.1
0.1
0.2
0.2
0.3
0.3
0.4
0.5
0.6
0.6
0.6
0.6
0.6
0.6
0.6
0.6
0.6
0.7
0.7
0.8
0.8
0.8
0.8
0.8
0.9
1
1
1.1
1.1
1.2
1.2		 1.2
1.2
1.2
1.2
1.3
1.3
1.3
1.3
1.3
1.4
1.4
1.5
1.6
1.7
1.7
1.7
1.8
1.8
1.9
1.9
2
2
2
2.1
2.1
2.1
2.1
2.1
2.1
2.1
2.3
2.5
2.7
3
4.2
5
5.7
12.4
15.2

3. For the data in problem 2, describe how the data differ from a normal distribution.

4. For the "SAT and College GPA" case study data, create a contour plot looking at University GPA as a function of Math SAT and High School GPA. Naturally, you should use a computer to do this.

5. For the "SAT and College GPA" case study data, create a 3D plot using the variables University GPA, Math SAT, and High School GPA. Naturally, you should use a computer to do this.