A researcher is interested in examining a regression model for knowledge, attitude and practices towards a pandemic outbreak. The following model was developed to forecast individual practices towards the pandemic outbreak using knowledge and attitude scores. P = α + β K + δ A where P = Practice towards pandemic outbreak score K = Knowledge towards pandemic outbreak score A = Attitude towards pandemic outbreak 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 0.465 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 (a) Identify the dependent variable(s) and the independent variable(s). (b) 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. (c) What does the value of R-sq indicate? Comment on the value of R-sq.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
A researcher is interested in examining a regression model for knowledge, attitude and practices towards a pandemic outbreak. The following model was developed to forecast individual practices towards the pandemic outbreak using knowledge and attitude scores.
P = α + β K + δ A
where P = Practice towards pandemic outbreak score K = Knowledge towards pandemic outbreak score A = Attitude towards pandemic outbreak 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 | 0.465 | 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 |
(a) Identify the dependent variable(s) and the independent variable(s).
(b) 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.
(c) What does the value of R-sq indicate? Comment on the value of R-sq.
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