Question

In: Statistics and Probability

Which of the following variable does the normality assumption concern about in a simple linear regression...

Which of the following variable does the normality assumption concern about in a simple linear regression model?

response varaible, the predictor, the residual or none are correct.

Solutions

Expert Solution

Normality Assumption concern about in a simple linear regression model is ,

THE RESIDUAL ( ERROR ) IN SIMPLE LINEAR REGRESSION LINE IS APPROXIMATELY NORMALLY DISTRIBUTED. These is the correct answer.

Response variable (dependent variable ) which we predict using the indepedent variable .

here assumption for the independent variable is it is measured in categorical or continuous variable and same thing about, assumption for the Response variable is ,it is measured in continuousvariable in simple linear regression .

In the simple linear regression model assumption of normality is not concern by the variable response variable , the predictor variable or none .

so ,response variable ,predictor variable or none these three option are not correct for normality assumption in simple linear regressio model .

Only Residual or error assumption is the normality assumtion concern about in a simple linear regression model is the correct answer.


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