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Basic Analysis and Graphing - SAS

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100 Performing Bivariate <strong>Analysis</strong> Chapter 4<br />

Fit Line <strong>and</strong> Fit Polynomial<br />

Figure 4.9 Example of Equations of Fit<br />

Note: You can edit the equation by clicking on it.<br />

Each Linear <strong>and</strong> Polynomial Fit Degree report contains at least three reports. A fourth report, Lack of Fit,<br />

appears only if there are X replicates in your data.<br />

Summary of Fit Report<br />

The Summary of Fit reports show the numeric summaries of the response for the linear fit <strong>and</strong> polynomial<br />

fit of degree 2 for the same data. You can compare multiple Summary of Fit reports to see the improvement<br />

of one model over another, indicated by a larger Rsquare value <strong>and</strong> smaller Root Mean Square Error.<br />

Figure 4.10 Summary of Fit Reports for Linear <strong>and</strong> Polynomial Fits<br />

Table 4.4 Description of the Summary of Fit Report<br />

RSquare<br />

Measures the proportion of the variation explained by the model. The<br />

remaining variation is not explained by the model <strong>and</strong> attributed to r<strong>and</strong>om<br />

error. The Rsquare is 1 if the model fits perfectly.<br />

The Rsquare values in Figure 4.10 indicate that the polynomial fit of degree<br />

2 gives a small improvement over the linear fit.<br />

See “Statistical Details for the Summary of Fit Report” on page 125.

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