Question

In order to perform a simple linear regression, the residuals need to follow a specific pattern...

In order to perform a simple linear regression, the residuals need to follow a specific pattern across values of the independent variable.

True or false

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Answer #1

In order to perform a simple linear regression, the residuals need to follow a specific pattern across values of the independent variable.

Answer:

False

Explanation:

The above statement is false because the residuals need not to follow a specific pattern across values of the independent variable in order to perform a simple linear regression. Most of the time residual plot shows a fairly random pattern. If the residual plot shows the random pattern, then we can say that linear model is good fit to the data.

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