Assignment Math Problem Example | Topics and Well Written Essays - 1000 words

Assignment - Math Problem Example The multiple regression analysis helps in examining relationship between one continuous dependent variable with one or more continuous independent variables. The regression analysis uses numeric data for analysis. In the field of public affairs, a researcher usually has to study various variables to quantify effect of one variable to other. In the case researcher does not include other factors affecting a particular variable it would lead to a particular bias known as ‘omitted variable biases. Multiple regression analysis helps in removing this bias by dealing with large number of explanatory variables. The study of these variables helps in asserting hypothesis wrong or vice-versa. This helps in identifying and generalizing the research findings for a larger population. The sample size needs to be sufficient for the analysis. The t-test or ANOVA is used with the data where variables are categorical and continuous. The mean scores of the groups are compared in order to understan d the difference between the groups. In the case of public affair, this analysis helps to test the probability differing two means. The correlation studies help in conducting rigorous research that can be done in order to understanding the nature of relationship between the variables. The correlation study helps in testing the validity of the research. The paired variables are linked with each other. The scatter plot produced to graphically present the correlation of a variable with the help of a linear line. The more is the gap between points from the straight line, the higher will be the weakness of relationship between those two variables. The direction refers to the slope of the scatter point. The variables can be in positive or negative relationship. The difference in one variable will have corresponding changes in the other variable. The positive correlation provides us information about the nature of change towards one another. The negative correlation shows that the change i s opposite direction. The correlation method is an appropriate method to examine the relationship of meaningful data. The data should be quantifiable. The correlation cannot be examined using categorical data. The correlation and regression studies are used for testing hypothesis and determining cause-and-effect relationships. The associated variables are studied for the association and the nature of association. There are various benefits of correlation test. This can help in predicting and helps in validating. This is a reliable method and helps in verifying theory. The Pearson coefficient is used when the variables are continuous. This requires one independent and one dependent variable. For example if there is a need to study the level of awareness of a social-environmental sustainability programs among different genders and its relation with success of program in particular geographic region. The level of awareness and the difference of awareness among the population can be und erstood by the correlation study. The regression analysis will help in identifying if the level of awareness was linked to the level of success of program. The t-test can help in accepting or rejecting the hypothesis that success of progra