Correlation analysis, linear regression (Quantitative Methods in Political Science) - Essay Example

The value of Pearson correlation coefficient equal to 0.838 (near +1) indicates that there is a strong positive Relationship between variables Total Conflict Management Efforts and Number Mediation Efforts. The p-value equal to 0.000 indicates that correlation is significant at the 0.01 significance level. Assuming Total Conflict Management Efforts as dependent variable and Number Mediation Efforts as independent variable, a hypothesis can be formulated. If variable Total Conflict Management Efforts predicated using variable Number Mediation Efforts than the slope of the regression model will be different from zero (Doane & Seward, 2007).

The null and alternate hypothesis can be written as: The high t-statistic (87.085) for Number Mediation Efforts indicates that the slope of the regression model is different from zero. This is also confirmed by p-value (0.000) of slope. Therefore, the decision is to reject the null hypothesis and accept alternate hypothesis. The high value of F-statistic (7583.83) indicates that the overall regression model is significant. It is also indicated by the p-value (0.000) of regression model. The value of coefficient of determination is equal to 0.

703; this indicates that variable Number Mediation Efforts explains 70.30 percent of the variation in variable Total Conflict Management Efforts. On the other hand, Number Mediation Efforts do not explain 29.70 percent of the variation in Total Conflict Management Efforts. Total Conflict Management Efforts can be predicted using predictors (independent variables) Arbitrations in Dispute, Negotiations in Dispute, Mediators in Dispute, and Number Mediation Efforts. This can be seen by scatter plot and trend line of response variable and predictor variables (figure 2, 3, 4, and 5).

The scatter plot and trend line shows that all predictor variables have positive effect on response variable, so a right-tailed test might be used. However, the default choice is a two-tailed