Manually compute the sum of squares of a quadratic term in the fitted model.

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Given the following data from the textbook, one may obtain the ANOVA table for the response surface quadratic model (as shown in the picture) using Design-Expert. I understand that the sum of squares of the linear terms and interaction terms can be obtained using the equation (contrast)$^{2/8n}.$ However, could anyone explain how the sum of squares for the quadratic terms are obtained? Raw data, ANOVA by Design-Expert