Regression Analysis and
Correlation
Submitted to: Submitted by:
Dr. Preeti Aggrawal Shagun(22318)
M.E(CSE)1st
Year
Regression Analysis
 Regression is the study of the nature of relationship between the variable so that
one may be able to predict the unknown value of one variable for a known value
of another variable.
 In regression, one variable is considered as an independent variable and another
variable is taken as a dependent variable.
 Regression is the measure of the average relationship between two or more
variable. -M.M Blair
where:
where,
y is dependent variable.
M is slop
X is independent variable.
B Intercept.
The Regression line is a straight line that best fits the data, such that the overall distance from the line to the points (variable values)
plotted on a graph is the smallest.
“b” is the slope of the line
“a” is the y-intercept.
“x” is an explanatory variable.
“y” is a dependent variable
Utility(uses) of Regression
Regression analysis and Correlation.pptx
Regression analysis and Correlation.pptx
Linear Regression
 It shows the relationship between a dependent variable and one or more
independent variables.
 Used for predictive analysis.
Title and Content Layout with SmartArt
Simple Linear Regression:
Single Independent variable is
used to predict the value of
dependent variable
Multiple Linear Regression:
Multiple Independent variable
is used to predict the value of
dependent variable
Simple Linear Regression
Regression analysis and Correlation.pptx
Multiple Linear Regression
Regression analysis and Correlation.pptx
Logistic regression
 It is used for predicting the categorical dependent variable using a given set of
independent variable
 It can be either Yes or NO and 0 or 1.
 Mainly use for solving Classification problem
Regression analysis and Correlation.pptx
Correlation
 A mutual relationship or connection between two or more things.
 Example: Price and Demand
 Correlation is statistical technique.
 Used to measure degree and extent to which two variables fluctuate with
reference to each other.
 Correlation means that between two series or groups of data there exist some
causal relationship. -W I King
Regression analysis and Correlation.pptx
Degree of correlation
Regression analysis and Correlation.pptx
Scatter Diagram
 The scatter diagram is known by many names, such as scatter plot, scatter graph
and correlation chart.
 This diagram is drawn with two variables,usually the first variable is independent
and the second variable is dependent on the first variable.
Regression analysis and Correlation.pptx
Graphical Method
 In this method the individual values of variables X and Y are plotted on the graph
paper and two curves are obtained.
 If the two curves move in the same direction it is an indication of positive
correlation
 If the two curve move in the oppiste direction then correlation is said to be
negative.
 This method is generally used when data is given over a period of time.
Regression analysis and Correlation.pptx
Karl Pearson’s coefficient
 The Pearson correlation coefficient is very helpful statistical formula that
measure the strength between variables and relationship.
 Also known as Pearson R test
Regression analysis and Correlation.pptx
Regression analysis and Correlation.pptx
Regression analysis and Correlation.pptx

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Regression analysis and Correlation.pptx

  • 1. Regression Analysis and Correlation Submitted to: Submitted by: Dr. Preeti Aggrawal Shagun(22318) M.E(CSE)1st Year
  • 2. Regression Analysis  Regression is the study of the nature of relationship between the variable so that one may be able to predict the unknown value of one variable for a known value of another variable.  In regression, one variable is considered as an independent variable and another variable is taken as a dependent variable.  Regression is the measure of the average relationship between two or more variable. -M.M Blair
  • 3. where: where, y is dependent variable. M is slop X is independent variable. B Intercept. The Regression line is a straight line that best fits the data, such that the overall distance from the line to the points (variable values) plotted on a graph is the smallest. “b” is the slope of the line “a” is the y-intercept. “x” is an explanatory variable. “y” is a dependent variable
  • 7. Linear Regression  It shows the relationship between a dependent variable and one or more independent variables.  Used for predictive analysis.
  • 8. Title and Content Layout with SmartArt Simple Linear Regression: Single Independent variable is used to predict the value of dependent variable Multiple Linear Regression: Multiple Independent variable is used to predict the value of dependent variable
  • 13. Logistic regression  It is used for predicting the categorical dependent variable using a given set of independent variable  It can be either Yes or NO and 0 or 1.  Mainly use for solving Classification problem
  • 15. Correlation  A mutual relationship or connection between two or more things.  Example: Price and Demand  Correlation is statistical technique.  Used to measure degree and extent to which two variables fluctuate with reference to each other.  Correlation means that between two series or groups of data there exist some causal relationship. -W I King
  • 19. Scatter Diagram  The scatter diagram is known by many names, such as scatter plot, scatter graph and correlation chart.  This diagram is drawn with two variables,usually the first variable is independent and the second variable is dependent on the first variable.
  • 21. Graphical Method  In this method the individual values of variables X and Y are plotted on the graph paper and two curves are obtained.  If the two curves move in the same direction it is an indication of positive correlation  If the two curve move in the oppiste direction then correlation is said to be negative.  This method is generally used when data is given over a period of time.
  • 23. Karl Pearson’s coefficient  The Pearson correlation coefficient is very helpful statistical formula that measure the strength between variables and relationship.  Also known as Pearson R test