# Linear regression analysis research paper

Regression analysis allows predicting the value of a dependent variable based on the value of at least one independent variable. The closer r is to 1 or —1, the stronger the relationship.

There may be biological reasons to expect a priori that a certain type of mathematical function will best describe such a relationship, or simple assumptions have to be made that this is the case e. The weather parameters, such as temperature, humidity, and precipitation affect the load requirements in non-autonomous wide area smart grid system.

This article explains the basic concepts and explains how we can do linear regression calculations in SPSS and excel.

Coefficient of Determination, R2 The coefficient of determination is the portion of the total variation in the dependent variable that can be explained by variation in the independent variable s. The variable to be explained blood pressure is called the dependent variable, or, alternatively, the response variable; the variables that explain it age, weight are called independent variables or predictor variables.

While correlation provides a quantitative way of measuring the degree or strength of a relation between two variables, regression analysis mathematically describes this relationship. In biomedical or clinical research, the researcher often tries to understand or relate two or more independent predictor variables to predict an outcome or dependent variable.

### Multiple regression analysis

It also enables the identification of prognostically relevant risk factors and the calculation of risk scores for individual prognostication. When there is a normal distribution, the Pearson's correlation is used, whereas, in nonnormally distributed data, Spearman's rank correlation is used. Estimation: The values of the dependent variables can be estimated from the observed values of the independent variables. The reader should then be able to judge whether the method has been used correctly and interpret the results appropriately. This may be understood as how the risk factors or the predictor variables or independent variables account for the prediction of the chance of a disease occurrence, i. The purpose of statistical evaluation of medical data is often to describe relationships between two variables or among several variables. Linear Regression in Biological Data Analysis In biological or medical data, linear regression is often used to describe relationships between two variables or among several variables through statistical estimation.

Methods This article is based on selected textbooks of statistics, a selective review of the literature, and our own experience.

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