You are given the following data, where X1 (GRE total score) and X2 (undergraduate GPA) are used to predict Y (graduate GPA): Y X1 X2 3.3 115 2.7 3.6 135 2.6 3 105 2.4 3.4 95 3.8 125 3.6 3.2 105 3.1 3.2 125 2.8 Determine the following multiple regression values. Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a = Partial slope X1: bị %3D Partial slope X2: b2 Report sum of squares accurate to 3 decimal places: SSrotal Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places): F-ratio - P-value - Report the variance of the residuals accurate to 3 decimal places: MSr = Report the standard error of the partial slope estimate for GRE total along with the test statistic (report answers accurate to 3 decimal places): s(b1) = ti
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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