RESEARCH METHOD COHEN ok

REGRESSION ANALYSIS 539
Box 24.32
Significance level in regression analysis
ANOVA b
Model Sum of squares df Mean square F Sig.
1 Regression 6988.208 1 6988.208 82.573 0.000 a
Residual 4062.292 48 84.631
Total 11050.500 49
Chapter 24
a. Predictors: (Constant), Hours of study
b. Dependent variable: Level of achievement
Box 24.33
The beta coefficient in a regression analysis
Coefficients a
Unstandardized coefficients
Standardized coefficients
Model B SE Beta t Sig.
1 (Constant) 26.322 2.982 8.828 0.000
Hours of study 9.567 1.053 .795 9.087 0.000
a. Dependent variable: Level of achievement
Box 24.33 also indicates that the results are
highly statistically significant (the ‘Sig.’’ column
(0.000) reports a significance level stronger than
0.001). Note also that Box 24.33 indicates a ‘constant’;
this is an indication of where the line of
best fit strikes the vertical axis, the intercept; the
constant is sometimes taken out of any subsequent
analyses.
In reporting the example of regression one could
use a form of words thus:
ascattergraphoftheregressionofhoursofstudy
on levels of achievement indicates a linear positive
relationship between the two variables, with an
adjusted R square of .625. A standardized beta
coefficient of .795 is found for the variable ‘hours of
study’, which is statistically significant (ρ