15. The following output was obtained from a multiple regression analysls. Analysis of Variance Source DF SS MS Regression Residual Error 100 20 20 40 2 Total 25 140 Predictor Coefficient SE Coefficient t Constant 3.00 1.50 2.00 X1 4.00 3.00 1.33 X2 3.00 0.20 15.00 X3 0.20 0.05 4.00 X4 -2.50 1.00 -2.50 Xs 3.00 4.00 0.75 a. What is the sample size? b. Compute the value of R2. c. Compute the multiple standard error of estimate. d. Conduct a global test of hypothesis to determine whether any of the regression coefficlents are significant. Use the .05 significance level. e. Test the regresslon coefficients individually. Would you consider omitting any varl- able(s)? If so, which one(s)? Use the .05 significance level.
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.
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