Define Correlation? Illustrate the correlation between X and Y?
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.
Define

The degree in which an independent variable causes changes observed in the dependent variable is correlation coefficient.
Independent variable:
In the correlation, the independent variable represents the inputs make the changes in the dependent variable.
Dependent variable:
The dependent variable represents the output based on the values of independent variables.
Where sX and sY denote the sample standard deviations of the x-values and y-values, respectively.
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