(b) Finally, the researcher is interested in examining the regression model for knowledge, attitude and practices towards the COFLU-20. The following model was developed to forecast individual practices towards COFLU-20 using knowledge and attitude scores.
P = α + β K + δ A
where P = Practice towards COFLU-20 score
K = Knowledge towards COFLU-20 score
A = Attitude towards COFLU-20 score
The data are processed using MINITAB and the output in Exhibit 1 below was obtained:
Exhibit 1
The regression equation is *************
Predictor |
Coef |
SE |
t-ratio |
P |
Constant |
4.755 |
0.462 |
10.282 |
0 |
Knowledge |
0.8 |
0.039 |
2.055 |
0.041 |
Attitude |
0.024 |
0.6 |
0.393 |
0.695 |
R-sq = 81.5%
Analysis of Variance |
|||||
SOURCE |
DF |
SS |
MS |
F |
P |
Regression |
2 |
38.06 |
19.03 |
2.284 |
0.104 |
Error |
297 |
2474.887 |
8.333 |
||
Total |
299 |
2512.947 |
(i) Identify the dependent variable(s) and the independent variable(s).
[2 marks]
(ii) Is δ significant?
Show proof of the testing process used to arrive at your decision.
State what this means in terms of attitude and practices. [4 marks]
(iii) What does the value of R-sq indicate? Comment on the value of R-sq.
1. The dependent variable is P, and the independent variables are K and A
2. δ is not significant because we value for attitude is 0.695 which is very much larger than 0.05. So at 5% level of significance δ is not significant
3. The R square indicates the amount of variability explained. The value of R square is 81.5% which is very high, hence the regression model is significant and large amount of variability is explained in it
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