Which of the following is an assumption of linear regression? Independence of errors All of the above Linearity between independent and dependent variables
Question
Which of the following is an assumption of linear regression? Independence of errors All of the above Linearity between independent and dependent variables
Solution
The assumptions of linear regression include both the independence of errors and the linearity between independent and dependent variables. Therefore, the correct answer is "All of the above".
Here's a step-by-step explanation:
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Independence of errors: This assumption states that the residuals (errors) are not correlated. This means that the error value for one observation does not depend on the error value of any other observation.
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Linearity between independent and dependent variables: This assumption states that there is a linear relationship between the independent and dependent variables. This means that a change in the independent variable will result in a proportional change in the dependent variable.
Since both of these are assumptions of linear regression, the correct answer is "All of the above".
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