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Basic Analysis and Graphing - SAS

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Chapter 4 Performing Bivariate <strong>Analysis</strong> 121<br />

Additional Examples of the Bivariate Platform<br />

3. Select height <strong>and</strong> weight <strong>and</strong> click Y, Columns.<br />

4. Click OK.<br />

5. Hold down the CTRL key. On the red triangle menu next to height, select Save > St<strong>and</strong>ardized.<br />

Holding down the CTRL key broadcasts the operation to all variables in the report window. Notice that<br />

in the Big Class.jmp sample data table, two new columns have been added.<br />

6. Close the Distribution report window.<br />

Use the St<strong>and</strong>ardized Variables to Fit the Orthogonal Model<br />

1. From the Big Class.jmp sample data table, select Analyze > Fit Y by X.<br />

2. Select Std weight <strong>and</strong> click Y, Response.<br />

3. Select Std height <strong>and</strong> click X, Factor.<br />

4. Click OK.<br />

5. From the red triangle menu, select Fit Line.<br />

6. From the red triangle menu, select Fit Orthogonal. Then select each of the following:<br />

– Equal Variances<br />

– Fit X to Y<br />

– Specified Variance Ratio <strong>and</strong> type 0.2.<br />

– Specified Variance Ratio <strong>and</strong> type 5.<br />

Figure 4.22 Example of Orthogonal Fitting Options<br />

Fit X to Y<br />

Fit Line<br />

The scatterplot in Figure 4.22 shows the st<strong>and</strong>ardized height <strong>and</strong> weight values with various line fits that<br />

illustrate the behavior of the orthogonal variance ratio selections. The st<strong>and</strong>ard linear regression (Fit Line)<br />

occurs when the variance of the X variable is considered to be very small. Fit X to Y is the opposite extreme,<br />

when the variation of the Y variable is ignored. All other lines fall between these two extremes <strong>and</strong> shift as<br />

the variance ratio changes. As the variance ratio increases, the variation in the Y response dominates <strong>and</strong> the

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