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Definitions from the Web

Collinearity

Definition: Collinearity refers to a statistical relationship between two or more predictors in a multiple regression model where they are highly correlated, resulting in the presence of redundant information.

Senses/Usages:

1. Mathematics (Sense 1): Collinearity is a term used in mathematics to describe the condition where three or more points lie on the same straight line.
2. Statistics (Sense 2): In statistics, collinearity occurs when two or more predictors in a regression model are linearly related, which can lead to issues such as instability in coefficient estimates and difficulty in interpreting relationships between predictors and the response variable.

Sample Sentences:

Sense 1:

1. The three vertices of a triangle are always collinear.
2. When three data points lie on the same line, they exhibit collinearity.

Sense 2:

1. In multiple regression analysis, collinearity among predictors can lead to inaccurate coefficient estimates.
2. High collinearity between the independent variables can make it difficult to identify the unique contribution of each predictor to the dependent variable.

Related Products:

Here are some books related to collinearity on Amazon:

• Books on Collinearity in Mathematics
• Books on Collinearity in Statistics
• Books on Regression Analysis