What are the objects of regression?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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What are the objects of regression?

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Regression:

Regression analysis estimates the effect that changing one independent variable has on the dependent variable while holding all other independent variables constant. In other words, it is used to predict one variable from other variables.  For example, one can use the shoe print lengths and heights to find the best predicted height of a male, or for predicting the cost of a book from the number of pages in the book, influence of scores on number of hours of TV watched per day and so on.

Regression analysis estimates the relationship among variables. That is, it estimates the relationship between one dependent variable and one or more independent variables.

The general form of first-order regression model is y-cap = β 0+ β1 x+ ε, Where, the variable y is the dependent variable that is to be modelled or predicted, the variable x is the independent variable that is used to predict the dependent variable, and ε is the error term.

 

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