Question: The following data were collected to determine the relationship between
The following data were collected to determine the relationship between two processing variables and the hardness of a certain kind of steel:
Fit a plane by the method of least squares, and use it to estimate the average hardness of this kind of steel when the copper content is 0.14 percent and the annealing temperature is 1,100°F.
Relevant QuestionsWhen the x1’s, x2’s, . . . , and/or the xk’s are equally spaced, the calculation of the β^’s can be simplified by using the coding suggested in Exercise 14.15. Rework Exercise 14.80 coding the x1-values – 1, 0, ...(a) Fit a linear surface to the following data: (b) How good a fit is obtained? (c) Plot the residuals against and determine whether the pattern is “random.” (d) Check for multicollinearity among the independent ...Develop the analysis-of-variance table for a Latin-square experiment. Use the method of Exercise 15.21 to analyze the 3 × 3 table of Exercise 13.78 on page 380, and compare the result with the result obtained in that exercise. An index of flavor was used to evaluate the effect of adding dioctyl sodium sulfosuccinate (DSS) to milk to stabilize its flavor. Four DSS levels (in parts per million) were used, including no DSS, and the milk was stored ...
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