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Each server control has the ability to be configured to submit, or post, the form data back to the server. For the TextBox, AutoPostBack is set to false by default, which means that the text is not sent back to the server until a different control posts the data back to the server. If AutoPostBack is set to true and the text is changed, then the text box will automatically post the form data back to the server when the text box loses focus. The following line shows how to turn on the AutoPostBack feature for the text box.

12-6.4

In multiple regression problems, we expect to find dependencies between the response variable Y and the regressors xj. In most regression problems, however, we find that there are also dependencies among the regressor variables xj. In situations where these dependencies are strong, we say that multicollinearity exists. Multicollinearity can have serious effects on the estimates of the regression coefficients and on the general applicability of the estimated model. The effects of multicollinearity may be easily demonstrated. The diagonal elements of the matrix C (X X) 1 can be written as Cjj 11 1 R2 2 j j 1, 2, p , k

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where R 2 is the coefficient of multiple determination resulting from regressing xj on the j other k 1 regressor variables. Clearly, the stronger the linear dependency of xj on the remaining regressor variables, and hence the stronger the multicollinearity, the larger the 2 value of R2 will be. Recall that V 1 j 2 Cjj. Therefore, we say that the variance of j is j 2 1 inflated by the quantity 11 R j 2 . Consequently, we define the variance inflation factor for j as

In many cases, the default behavior for the TextBox is appropriate. The ListBox and DropDownList also have their AutoPostBack set to false. But it may be desirable to change AutoPostBack to true. When set to true, the ListBox and DropDownList will post back to the server when a selection is made.

(12-50)

These factors are an important measure of the extent to which multicollinearity is present. Although the estimates of the regression coefficients are very imprecise when multicollinearity is present, the fitted model equation may still be useful. For example, suppose we wish to predict new observations on the response. If these predictions are interpolations in the original region of the x-space where the multicollinearity is in effect, satisfactory predictions will often be obtained, because while individual j may be poorly estimated, the function k g j 1 j x ij may be estimated quite well. On the other hand, if the prediction of new obsevations requires extrapolation beyond the original region of the x-space where the data were collected, generally we would expect to obtain poor results. Extrapolation usually requires good estimates of the individual model parameters.

AutoPostBack is great, but usually something needs to be accomplished with the data that is posted back to the server. This is where events come in. Using the single-page model, event-handling code can be added into the .aspx page to respond to an event such as the click of a button or the changing of a selection in a ListBox. The following syntax is used:

To edit the picture (in this example, to change its colour), click the Format tab. Click the Color button. Choose a colour option. PowerPoint updates the image to reflect your edits.

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