Multiple Regression Essay Example | Topics and Well Written Essays - 2500 words

Multiple Regression - Essay Example They help in assessing the likely value of the regression coefficients in the population. Model Fit: It provides a statistical test of the models ability to predict the outcome variable and also the value of R, R2 and adjusted R2. Estimates: They give the estimated coefficients of the regression mode. The test statistics and their significances are also obtained for each regression. Here T-test is used to see whether each b differences significantly from zero. Durbin Watson: This test statistic tests the assumption of independent errors. If the value is different from value Z, then it is cause of concern. When this data is run on SPSS taking Satisfaction as dependent variable and functional, Epistemic, Social, Emotional, Conditional as independent variables, we get the following outputs. The first output is the Descriptive statistics. Descriptive Statistics Mean Std. Deviation N Satisfaction 5.1369 1.18900 389 Functional 5.4989 .91570 389 Epistemic 5.3492 .95148 389 Social 5.3209 1.27152 389 Emotional 5.4961 1.04150 389 Conditional 3.4679 1.01706 389 This table gives the mean and standard deviation of each of the variables. This is useful for summary of data. Correlations Satisfaction Functional Epistemic Social Emotional Conditional Conditional Pearson Correlation Satisfaction 1.000 .555 .618 .339 .565 .004 Functional .555 1.000 .509 .221 .520 .011 Epistemic .618 .509 1.000 .328 .531 .109 Social .339 .221 .328 1.000 .338 .148 Emotional .565 .520 .531 .338 1.000 .154 Conditional .004 .011 .109 .148 .154 1.000 Sig. (1-tailed) Satisfaction . .000 .000 .000 .000 .471 Functional .000 . .000 .000 .000 .415 Epistemic .000 .000 . .000 .000 .016... Once the dependent and independent variable are selected, the method for variables to enter can be selected or to be removed using any of the methods say stepwise, Remove, Backward or Forward. When clicked on the statistics, the estimate confidence intervals and model fit are selected and in the residuals Durbin-Watson is selected. The significance of each of these is as follows. Estimates: They give the estimated coefficients of the regression mode. The test statistics and their significances are also obtained for each regression. Here T-test is used to see whether each b differences significantly from zero. The correlation matrix gives the Pearson correlation coefficient between every pair of variables. It also gives the one significance of each correlation. Here we observe that the correlation is significant with p