STATS:DATA+MODELS-W/DVD
STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 9, Problem 1E

a.

To determine

Explain whether re-expression of the data is needed.

a.

Expert Solution
Check Mark

Answer to Problem 1E

There is no need to re-express the data.

Explanation of Solution

Justification:

Residual:

The residual corresponding to a predictor variable is given as the difference between actual value of the response variable and the predicted value. That is, e=yy^, where y be the actual value of the response variable and y^ be the predicted value of the response variable for same predictor variable.

The conditions for a residual plot that is well fitted for the data are,

  • There should not any bend, which would violate the straight enough condition.
  • There must not any outlier, which, were not clear before.
  • There should not any change in the spread of the residuals from one part to another part of the plot.

In residual plot, there is no bend or no pattern, which can violate the straight enough condition and not any change in the spread of the residuals from one part to another part of the plot.

Thus, there is no need to re-express the data.

b.

To determine

Explain whether re-expression of the data is needed.

b.

Expert Solution
Check Mark

Answer to Problem 1E

It is needed to re-express the data.

Explanation of Solution

Given info:

A residual plot is given.

Justification:

In residual plot, there is bend or curved pattern, which can violate the straight enough condition and there is also change in the spread of the residuals from one part to another part of the plot.

Thus, re-expression is needed to straighten the data.

c.

To determine

Explain whether re-expression of the data is needed.

c.

Expert Solution
Check Mark

Answer to Problem 1E

It is needed to re-express the data.

Explanation of Solution

Justification:

In residual plot, there is fan shape, which can violate the straight enough condition and there is also change in the spread of the residuals from one part to another part of the plot.

Thus, re-expression is needed to equalize the spread of the data.

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