when a regression is used as a method of predicting dependent variables from one or more independent variables. How are the independent variables different from each other yet related to the dependent variable?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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when a regression is used as a method of predicting dependent variables from one or more independent variables. How are the independent variables different from each other yet related to the dependent variable?

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Independent variables in regression analysis are those that are said to affect the dependent variable. They differ from each other in terms of the different constructs they measure, their units of measurement, and the range of values that they can take. Consider an example examining the relationship between height and weight - these two independent variables differ from each other but both influence a dependent variable such as BMI.

 

In regression analysis, a mathematical equation is used to predict the value of the dependent variable based on the values of the independent variables. This equation is estimated using a sample of observations, and it represents the relationship between the independent variables and the dependent variable. Once this equation is estimated, it can be used to predict the values of the dependent variable for new observations based on the values of the independent variables.

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