Interpret the key results for Surface Plot

Use a surface plot to see how fitted response values relate to two continuous variables based on a model equation. A surface plot is a three-dimensional wireframe graph that is useful for establishing desirable response values and operating conditions.

A surface plot contains the following elements:
• Predictors on the x- and y-axes.
• A continuous surface that represents the fitted response values on the z-axis.
The type of fitted response values that Minitab displays depends on the type of response variable in your model. Minitab displays the following types of fitted values:
• Means for response variables that contain continuous measurements, such as length or weight.
• Means for response variables that contain counts that follow the Poisson distribution, such as the number of defects per sample.
• Probabilities for response variables that contain only two possible outcomes, such as pass/fail.
• Standard deviations for models that are fit using Analyze Variability.

Because a surface plot shows only two continuous variables at a time, any extra variables are held at a constant level.

A surface plot can include only two continuous variables. If a model has more than two continuous variables, then Minitab holds each variable that is not on the plot constant. If a model has categorical variables, then Minitab also holds the categorical variables constant. Thus, these plots are valid only for fixed levels of the extra variables. If you change the holding levels, the response surface also changes, sometimes drastically.

Surface plots do not use the data in the worksheet. Instead, Minitab estimates the response surface based on a stored model. The accuracy of the surface plot depends on how well the model represents the true relationships between the variables.

For more information about how to interpret the results for a mixture design, go to Example of Surface Plot with a mixture design.

Tip

To annotate the values of the predictors and the responses for any point on this plot, use Plant Flag. To plant a flag, right-click the plot, choose Plant Flag in the menu that appears, and then click the point on the plot that you want to annotate. Use Predict to determine whether these points are unusual and to assess the precision of the predictions.

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