
Learn to apply polynomial regression from first to third degree on data x and y, fit with coefficients, visualize with plots, and evaluate using r-squared.
Build a logistic regression model to classify blobs datasets, using make_blobs for data, standard scaler, train/test split, and evaluation with confusion matrix, classification report, and accuracy metrics, with seaborn visualizations.
Standardize input variables to prepare blob datasets, train a logistic regression model, then predict and evaluate results using confusion matrices, accuracy, and classification reports with visual heatmaps.
Train a logistic regression classifier on the iris dataset to distinguish three flower classes, using standardized features, a train-test split, and evaluation metrics like confusion matrix and accuracy.
In statistics, Logistic Regression, or logit regression, or logit model is a regression model where the dependent variable (DV) is categorical. This article covers the case of a binary dependent variable—that is, where the output can take only two values, "0" and "1", which represent outcomes such as pass/fail, win/lose, alive/dead or healthy/sick. Cases where the dependent variable has more than two outcome categories may be analysed in multinomial logistic regression, or, if the multiple categories are ordered, in ordinal logistic regression. In the terminology of economics, logistic regression is an example of a qualitative response/discrete choice model.
Logistic Regression was developed by statistician David Cox in 1958. The binary logistic model is used to estimate the probability of a binary response based on one or more predictor (or independent) variables (features). It allows one to say that the presence of a risk factor increases the odds of a given outcome by a specific factor.
Polynomial Regression is a form of regression analysis in which the relationship between the independent variable x and the dependent variable y is modelled as an nth degree polynomial in X. Polynomial regression fits a nonlinear relationship between the value of X and the corresponding conditional mean of Y. denoted E(y |x), and has been used to describe nonlinear phenomena such as the growth rate of tissues, the distribution of carbon isotopes in lake sediments, and the progression of disease epidemics. Although polynomial regression fits a nonlinear model to the data, as a statistical estimation problem it is linear, in the sense that the regression function E(y | x) is linear in the unknown parameters that are estimated from the data. For this reason, Polynomial Regression is considered to be a special case of multiple linear regression.
The predictors resulting from the polynomial expansion of the "baseline" predictors are known as interaction features. Such predictors/features are also used in classification settings.
In this Course you learn Polynomial Regression & Logistic Regression You learn how to estimate output of nonlinear system by Polynomial Regressions to find the possible future output Next you go further You will learn how to classify output of model by using Logistic Regression
In the first section you learn how to use python to estimate output of your system. In this section you can estimate output of:
Nonlinear Sine Function
Python Dataset
Temperature and CO2
In the Second section you learn how to use python to classify output of your system with nonlinear structure .In this section you can estimate output of:
Classify Blobs
Classify IRIS Flowers
Classify Handwritten Digits
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