Discuss the reasons and situations in which researchers would want to use linear regression? How would a researcher know whether linear regression would be the appropriate statistical technique to use? What are some of the benefits of fitting the relationship between two variables to an equation for a straight line? Give an example of data that can be modeled by using linear regression.
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.
Discuss the reasons and situations in which researchers would want to use linear regression?
How would a researcher know whether linear regression would be the appropriate statistical technique to use?
What are some of the benefits of fitting the relationship between two variables to an equation for a straight line?
Give an example of data that can be modeled by using linear regression.
From the given information,
Lets consider a regression line equation be;
Whereas, = intercept coefficient , =slope coefficient and e = error term
Now,
,
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