R. Carter Hill - Principles Of Econometrics, 5Th Edition

1. Chapter 1
2. Chapter 1a
3. Chapter 2
4. Chapter 3
5. Chapter 4
6. Chapter 5
7. Chapter 6
8. Chapter 7
9. Chapter 8
10. Chapter 8
11. Chapter 10
12. Chapter 11
13. Chapter 11
14. Chapter 14
15. Chapter 15
16. Chapter 16
17. Appendix A
18. Appendix B
19. Appendix C
20. Appendix D

1. Chapter 1
2. Chapter 1a
3. Chapter 2
   1. FIGURE 2.7 (a) The relationship among y, e, and the fitted regression line. (b) The residuals from another fitted line.
4. Chapter 3
5. Chapter 4
6. Chapter 5
7. Chapter 6
8. Chapter 7
9. Chapter 8
10. Chapter 9
11. Chapter 10
12. Chapter 11
13. Chapter 12
14. Chapter 13
15. Chapter 14
16. Chapter 16
17. Appendix A
18. Appendix B
    1. FIGURE B.7(b) Non-central chi-square distributions, m = 10 degrees of freedom and non-centrality =0, 3, 6.
    2. FIGURE B.9(b) Non-central F(8, 20, )-distributions with =0,3,6.
19. Appendix C
    1. FIGURE C.2 Increasing sample size and sampling distributions of Y.
    2. FIGURE C.5 The rejection region for the one-tail test of H0:=c against H1:>c.
    3. FIGURE C.6 Critical value for one-tail test H0:=c versus H1:
    4. FIGURE C.7 Rejection region for a test of H0:=c against H1:c.

Based on the material in this appendix, you should be able to

1. Explain the relationship between exponential functions and natural logarithms.
2. Explain and apply scientific notation.
3. Define a linear relationship, as opposed to a nonlinear relationship.
4. Compute the elasticity at a point on a function.
5. Explain the concept of a derivative and its relationship to the slope of a function.
6. Compute the derivatives of simple functions and provide their interpretations.
7. Describe the relationship between a derivative and a partial derivative.
8. Explain the concept of an integral.
9. Maximize or minimize functions of one or two variables.
10. Use integration to find the area under curves.
11. Explain and evaluate second derivatives.

maximizing a function

minimizing a function

We assume that you have studied basic math. Hopefully you understand the calculus concepts of differentiation and integration, though these tools are not required prerequisites for success using this book. In this appendix we review some essential concepts that you may wish to consult from time to time.

can be represented by points on a line. There are an uncountable number of real numbers, and they are not all rational. Numbers such as 3.1415927 and 2 are said to be irrational since they cannot be expressed as ratios, and have only decimal representations. Numbers like 2 are not real numbers. The of a number is denoted by |a| . It is the positive part of the number: |3| = 3 and |3| = 3 .

among numbers obey certain rules. The notation a < b , a is less than b, means that a is to the left of b on the number line, and that b a > 0 . If a is less than or equal to b, it is written as ab. Three basic rules are