1. It deals with the relationship of two quantitative variables 2. This is the case when r is close to 0. 3. It occurs only when all the data points lie exactly on a straight line.
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.
![It deals with the relationship of two quantitative variables.
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No correlation
Correlation formula
Pearson r product moment correlation
Correlation 1
Linear regression
Coefficient of determination OTS
Positive correlation
Perfect correlation
8ora
Value of r
Linear correlation coefficient 7
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88
OT2
1.
It deals with the relationship of two quantitative variables
2.
This is the case when r is close to 0.
3.
It occurs only when all the data points lie exactly on a
straight line.
4. It is the ratio of the explained variation to the total variation.
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5. It is an approach to modeling the relationship between a
scalar variable y and one or more explanatory variable x.
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6. Its values are in the range of -1 <r<+ 1.
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CORRELATION AND REGRESSION
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![7. This is the case when r is close to +1.
n(Exy)-(Ex)(Ey) 16ni
n (Σxy) - (Σ x)(Σν)
8.
Vn(Ex²)-(Ex} •Jm(Ey°)-(Ey)°
It measures the strength and the direction of a linear
relationship between two variables.
9.
10.
This is what a linear correlation coefficient is sometimes
referred to.
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