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Logistic Regression

Logistic regression is a statistical model which is used for predicting the possibility of existence of an event. Generally, this model makes use of various predictor variables which may be either numerical or divisions.

Logistic regression is considered as the standard industry tool that influences deceit detection in production and advertising quality and targeting products as well. The Mahout operation employs Stochastic Gradient Descent (SGD) which allows all the large training sets to be used in it.

Logistic regression is a broad class of models which include ordinary regression and ANOVA, as well as multivariate statistics like ANCOVA and log-linear regression. A premium analysis of generalized linear models is conferred in Agresti in the year 1996. Logistic regression model permits one to predict a detach outcome, such as group association, from a set of variables that may be continuous, discrete, dichotomous, or a blend of any of these.

How it works?

Generally, the dependent variable is binary, which turns presence to absence and success to failure. Discriminant analysis model is also used to forecast group membership with not more than two groups. However, discriminant analysis is usually used with constant independent variables. Thus, in cases where the independent variables are categoric, or a combination of incessant and categorical, logistic regression is approved.

In statistics, logistic regression or logit regression is considered as a type of regression analysis which is used for anticipating the outcome of a definitive dependent variable, depending on one or more than one predictor variables. A definitive dependent variable is a variable that can take on a definite number of values, the magnitudes of which are considered as meaningful, but ordering of consequences may or may not be significant. That's the reason; it is used in approximating practical values of the dimensions in a qualitative response model. By using logistic function of the explanatory variables, the possibilities describe relevant outcomes of a single trial to be modelled.

Logistic regression is used particularly for a concern in which the dependent variables are binary. In which, the number of available categories is two.

The two main uses of logistic regression are firstly for forecasting group association. Since, the model computes the expectations or success over the possibilities of failure, the conclusion of the review are counted in the form of an odd ratio. Let us take an example, logistic regression is frequently used in epidemiological studies where the conclusion of the analysis is the likelihood of developing cancer after regulating other concerned risks. Logistic regression also provides ability of the relationships and forces among the variables. This model is extensively used in number of disciplines which include medical and social science domains.

Difference between Logistic Regression and Linear Regression

Linear regression is a regression when both the X variable, considered as the predictor and the Y variable, the response, are both constant and linearly concerned, so the response will increase or decrease at a continuous ratio to the predictor. In this model, you can also have more than one predictor that give regression in multiple dimensions. But in conclusion, it comes down to set increase or decrease in the feedback for every single unit to increase in its predictors. On the other hand, logistic regression is considered as quite different from Linear regression as in this model, the predictor is continuous but the feedback is categorical or dichotomous. This model gives you with the probability of particular event occurring. If there is single unit increase in the predictor, then the probability of particular event occurring increases or may decrease as well.

The major goal of the logistic regression is to accurately predict the class of outcome for individual cases by using the most avaricious model. To achieve this goal, a model is developed by involving all the predictor variables which are valuable in forecasting the response variables in it. Numerous different options are accessible at the time of model creation. Variables can be enrolled into the model in the order to described by the researchers. Logistic regression can also test the fit of the particular model after each coexistent is added or deleted, and this entire process is known as stepwise regression.

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