An academic advisor wants to predict the typical starting salary of a graduate at a top business school using the GMAT score of the school as a predictor variable. A simple linear regression of SALARY versus GMAT using 25 data points is shown below. 0= -92040 $ 1= 228 s = 3213 df = 23 t= 6.67 Set up the null and alternative hypotheses for testing whether a linear relationship exists between SALARY and GMAT. O Ho: B1 = 0 vs. Hai B1 > 0 O Ho: B1 = 0 vs. Hại ß1 # 0 O Họ: $1 = 228 vs. Hai $1 > 228 O Ho: B1 > 0 vs. Hại ß1 < 0
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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