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. A least squares estimated regression line has been fitted to a set of data and

ID: 3158055 • Letter: #

Question

. A least squares estimated regression line has been fitted to a set of data and the resulting residual plot is shown. Which is true?

A. The linear model is appropriate.

B. The linear model is poor because some residuals are large.

C. The linear model is poor because the correlation is near 0.

D. A curved model would be better.

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Explanation / Answer

The true statement for the given least squares estimated regression line is,

B. The linear model is poor because some residuals are large.

This is because, we can observe from the resulting residual plot that many residuals are far apart from the regression line and as we know that the residual is the difference between the predicted and the actual value of the variable thus more widespread residuals accounts for poor linear regression model.