1 - Correlation Coefficient 'r' lies between - 1 and + 1 , that is; - 1 < r < + 1 .
2 - Correlation Coefficient 'r' is Symmetric about X and Y....
r XY = r YX
The Formula of Correlation Coefficient ' r ' is.....
3 - Correlation Coefficient ' r ' is the Geometric Mean of two Regression Coefficients.
REGRESSION COEFFICIENTS:
There are Two regression coefficients :
b YX;
b XY;
NOTE: The Main Common formulas of Regression Coefficients are:
b YX;
b XY;
4 - Correlation Coefficient 'r' in Independent of change of origin and scale, that is;
r XY = r UV
But the Formula of " r UV " is:
5 - Correlation Coefficient 'r' is the Independent of any unit of measurement.
MOST IMPORTANT POINTS:
The Regression line Y on X is...
The Regression line X on Y is...
At last,
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QUESTIONS WITH ANSWERS: Simple & Easiest with Real life Examples 2021
What is Correlation?
Relationship between two Variables is called as Correlation.
For Example, We can say Married Persons " Relationship between Husband and Wife ".
What is Correlated?
The movement of one variable is accompanied by the movement of other variable is called as Correlated.
For Example, Let's take an example of Cars; We have Two Cars, We bind the One Car with the other Car by a rope then you can noticed that When One Car will move then automatically other car will move. That's relation is CORRELATED. It is denoted by " r ".
What is the Difference between Positive Correlation and Negative Correlation?
STEP-BY-STEP:
What is Positive Correlation?
When movement of two variables is in same direction that is both variables may increase or both decrease is called as Positive Correlation.
For Example, let's suppose that two persons have own bikes and they are racing in same direction then obviously both persons speed may increase or decrease. That's is a Positive Correlation.
NOTE: The value of 'r' will be positive When r = + 1, Correlation is perfect positive.
What is Negative Correlation?
When movement of two variables are in opposite direction then Correlation will be negative.
For Example, let's suppose there are two persons; One is going to the right side and other is going to the left side which shows that they have not any relationship. So, correlation will be negative.
NOTE: The value of 'r' will be negative When r = - 1, Correlation is perfect negative.
What is Correlation Coefficient or Coefficient of Correlation?
The Strength of relationship between two variables is measured by the formula which is named as Correlation Coefficient. It is denoted by 'r'.
General Formula:
Where
Co-variance of X and Y formula is:
Variance of X and Y formula is:
Now, at last..
Common Formula:
That's common formula is a main formula which we use in calculation of 'r'.
What is Rank Correlation?
When actual values of two variables are ranked according to some common characteristics then Correlation will be Rank Correlation.
What is the Coefficient of Rank Correlation?
The Coefficient of Rank Correlation is:
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