A study of the top 75 MBA programs attempted to predict the average starting salary (in $1000's) of 6 graduates of the program based on the amount of tuition (in $1000's) charged by the program. The results of a simple linear regression analysis are shown below: Least Squares Linear Regression of Salary Predictor Variables Coefficient Std Error T P Constant 18.1849 10.3336 1.76 0.0826 Tuition 1.47494 0.14017 10.52 0.0000 R-Squared Adj R-Squared 0.5972 0.6027 Resid. Mean Square (MSE) 532.986 Standard Deviation 23.0865 In addition, we are told that the coefficient of correlation was calculated to be r = 0.7763. Interpret this result. A) There is a fairly strong positive linear relationship between the amount of tuition charged and the average starting salary variables. B) There is almost no linear relationship between the amount of tuition charged and the average starting salary variables. C) There is a very weak positive linear relationship between the amount of tuition charged and the average starting salary variables. D) There is a fairly strong negative linear relationship between the amount of tuition charged and the average starting salary variables.
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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