Regression and Correlation

The statistical methods discussed so far are used to analyze data involving only one variable. Often an analysis of data… Click here to read more

Regression involves the study of equations. First we talk about some simple equations or linear models. The simplest mathematical model… Click here to read more

Let us consider an equation $$Y = 10 + 5{X^2}$$ By putting the values of $$X = 0,1,2,3,4$$ in this… Click here to read more

In a relationship in which one variable is independent and the other is dependent, some people use the terms ‘cause’… Click here to read more

A scatter diagram is a graphic picture of the sample data. Suppose a random sample of n pairs of observations… Click here to read more

Correlation is a technique which measures the strength of association between two variables. Both the variables $$X$$ and $$Y$$ may… Click here to read more

Linear Correlation Correlation is said to be linear if the ratio of change is constant. When the amount of output… Click here to read more

Positive Correlation A correlation in the same direction is called a positive correlation. If one variable increases the other also… Click here to read more

Perfect Correlation If there is any change in the value of one variable, the value of the other variable is… Click here to read more

The degree or level of correlation is measured with the help of the correlation coefficient or coefficient of correlation. For… Click here to read more

The correlation coefficient is symmetrical with respect to $$X$$ and $$Y$$, i.e. $${r_{XY}} = {r_{YX}}$$ The correlation coefficient is the… Click here to read more

Calculate and analyze the correlation coefficient between the number of study hours and the number of sleeping hours of different… Click here to read more

Curve Fitting Curve fitting is the process of introducing mathematical relationships between dependent and independent variables in the form of… Click here to read more

The given example explains how to find the equation of a straight line or a least square line by using… Click here to read more

Regression The word regression was first used by Frances Galton in 1985. It is defined as “The dependence of one… Click here to read more

Regression is concerned with the study of the relationship among variables. The aim of regression (or regression analysis) is to… Click here to read more