(b) For each pair of variables, generate the correlation coefficient r. For all pairs involving x,, compute the corresponding coefficient of determinationr. (Use 3 decimal places.) X1, X2 .894 X1, X3 .946 .895 X1, X4 .914 .835 .91 X1, X5 .954 X1, X6 -.912 .832 X2, X3 X2, X4 X2, X5 X2, X6 X31 X4 .906 X31 X5 .864 Хз Х6 X4, X5 .795 X4, X6 X5, X6 -.87
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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