Page 166 - Quantitative Data Analysis

Quantitative Data Analysis
Simply Explained Using SPSS

f) ratio of the regression sum of squares to the total sum of
squares? What does this ratio represent?

Regression sum of square (SS reg) is 22.964 and total sum of square
2
(∑Y ) is 35.75. Hence the ratio of SS reg to SS tot is

There is important relationship between the ratio of sum of square
explained to total sum of square, it tells us how much of the
variation in the dependent variable to regression mode. Sum of
2.
square regression has a strong relationship with r . For example
here the sum of square ratio is 0.6423 which is equal to square of
2
correlation r .
Ration of SS reg = 0.6423
2
2
r = (0.8) = 0.64, thus
2
Ration of SS reg = r

g) F ratio for the test of significance of the regression sum of squares?

− −

− −

×

t

The Theory and Applications of Statistical Inferences 150