Biostatistics

SUMMARY OF FORMULAS FOR CHAPTER 10 523
Subject Y X 1 X 2 X 3 X 4
5 77 11.4 11.2 2470.50 5
6 82 14.4 13.1 3136.58 9
7 82 13.3 12.8 2799.55 8
8 75 12.4 11.9 2565.50 6
9 81 10.7 11.5 2429.49 11
10 71 7.6 7.8 2369.37 6
11 77 11.2 10.8 2644.62 7
12 74 9.7 9.7 2647.45 9
13 77 10.2 10.0 2672.92 7
14 74 10.1 9.7 2640.25 8
15 68 6.1 7.2 1926.60 5
10.7 SUMMARY
In this chapter we examine how the concepts and techniques of simple linear regression and
correlation analysis are extended to the multiple-variable case. The least-squares method of
obtaining the regression equation is presented and illustrated. This chapter also is
concerned with the calculation of descriptive measures, tests of significance, and the
uses to be made of the multiple regression equation. In addition, the methods and concepts
of correlation analysis, including partial correlation, are discussed.
When the assumptions underlying the methods of regression and correlation
presented in this and the previous chapter are not met, the researcher must resort to
alternative techniques such as those discussed in Chapter 13.
SUMMARY OF FORMULAS FOR CHAPTER 10
Formula
Number Name Formula
10.2.1 Representation of
the multiple
linear regression
equation
10.2.2 Representation
of the multiple
linear regression
equation with
two independent
variables
y j ¼ b 0 þ b 1 x 1j þ b 2 x 2j þþb k x kj þ e j
y j ¼ b 0 þ b 1 x 1j þ b 2 x 2j þ e j
(Continued )