Regression and correlation | Health KnowledgeRegression analysis is a statistical process for estimating the relationships among variables and includes many techniques for modeling and analyzing several variables. When the focus is on the relationship between a dependent variable and one or more independent variables. This involves data that fits a line in two dimensions. You will also study correlation which measures how strong the relationship is. The variable x is the independent variable, and y is the dependent variable. Typically, you choose a value to substitute for the independent variable and then solve for the dependent variable.
5.1: Linear Regression and Correlation
In many studies, we measure more than one variable for each individual. For example, we measure precipitation and plant growth, or number of young with nesting habitat, or soil erosion and volume of water. We collect pairs of data and instead of examining each variable separately univariate data , we want to find ways to describe bivariate data , in which two variables are measured on each subject in our sample. Given such data, we begin by determining if there is a relationship between these two variables. As the values of one variable change, do we see corresponding changes in the other variable?
The general purpose of multiple regression the term was first used by Pearson, is to learn more about the relationship between several independent or predictor variables and a dependent or criterion variable. For example, a real estate agent might record for each listing the size of the house in square feet , the number of bedrooms, the average income in the respective neighborhood according to census data, and a subjective rating of appeal of the house. Once this information has been compiled for various houses it would be interesting to see whether and how these measures relate to the price for which a house is sold. You may also detect "outliers," that is, houses that should really sell for more, given their location and characteristics. Personnel professionals customarily use multiple regression procedures to determine equitable compensation.
This book Correlation and Regression is an outcome of authors long Teaching experience of the subject. This book present a thorough treatment of what is.
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