This video is part 37 of Linear regression tutorials in Statistics. And more focus of this video is put on Test appropriateness(linearity) of regression model in Statistics.

Contents


Introduction to linear regression
Mean and Variance of Estimators in linear regression
Partition of Total Variability and Estimation of s2
Confidence Interval for regression coefficients
Hypothesis Testing on the Slope
Statistical Inference on the Intercept
Coefficient of Determination in regression
Prediction with linear regression
analyzing regression line by an analysis-of-variance approach
Test appropriateness(linearity) of regression model
Data transformation in linear regression
Correlation, slope coefficient and coeffcient of determination in regression
Introducing multiple linear regression
Polynomial Regression
Estimating linear regression model using matrices
Analysis of Variance in Multiple Regression
Hypothesis testing of coefficients in multiple Linear regression
confidence interval for the mean response in Multiple Linear regression
confidence interval for a single response in Multiple Linear regression
Choice of multiple regression model with coefficient of determination
Test on an Individual Coefficient
Test on significance of a subset of the variables Partial F-Tests
Regression with categorical explanatory variables
Varying slope in regression with Indicator Categories and interaction
Stepwise regression explained
Detecting outliers using studentized residuals in regression
Selecting regression model using PRESS residuals



#statistics
#distribution
#normaldistribution
#chisquare
#tdistribution
#ttest
#statistics32

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