Explain Graphically by drawing hypothetical disgrams when the coefficient of correlation between two variables is (a) perfect positive, (b) perfect Negative, (c) zero?
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.
Explain Graphically by drawing hypothetical disgrams when the coefficient of
The degree or extent to which two variables are linearly related or associated, is called the correlation of the two variables.
The measure of correlation coefficient of X and Y two variable is
where
The value of rxy lies in the interval [-1,1]
a) Perfect positive correlation:
If the value of rxy =1, then the two variables have perfect positive correlation, that is if one variable increases other increases. In that case the diagram of this two variables are following.
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