Consider the first-order multiple regression model with two quantitative predictors, E(y)=β0+β1x1+β2x2. Clearly express the lease square function, SSE,
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Consider the first-order multiple regression model with two quantitative predictors, E(y)=β0+β1x1+β2x2.
- Clearly express the lease square
function , SSE, in terms of β0,β1 and β2, to be minimized. - Find the partial derivatives of SSE with respect to β0,β1 and β2.
- Set the partial derivatives equal to zero and simplify. Clearly write down the linear equation system with three unknowns β0,β1 and β2
It is an important part of statistics. It is widely used.
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