Correlation and Regression Test
Document Type:Coursework
Subject Area:Statistics
a) H0: There is no statistical relationship between self-esteem and the level of production of teachers. H1: there is a statistical relationship between self-esteem and level of production of teachers. b) Spearman correlation test will be used because the continuous variables are changing but not at a constant rate. Spearman test is ideal for continuous variables that have a monotonic relationship (Cohen et al. Pearson test is ideal when the variables are continuous and they are changing at a constant rate. Based on table I above, the effect size is large since the coefficient of determination (r^2) is 0. An effect size of 0. 8 indicates that the variation in one variable results in a greater variation in the other variable. Additionally, a correlation coefficient of 0.
83 indicates that there is a strong positive correlation between self-esteem and the production level of teachers. b) The effect size is demonstrated in the following model summary table. Table 2: Model Summary Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1. 116a. 627 a. 000 How long have you been teaching (in years)? -. 474 a. Dependent Variable: Productivity Scores c) Based on table 3 above, it was noted that working experience accounted 1. 4% of the variation in the productivity level of teachers (r2=. 014, p<. Two variables that can be used in a correlation test is age and weight. In this case, the researcher is interested to find out whether there exists a significant relationship between age and weight. Through correlation, it will be possible to obtain the direction of relationship which can be either positive or negative.
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