# Question: A 24 factorial design has been run in a pilot

A 24 factorial design has been run in a pilot plant to investigate the effect of four factors on the molecular weight of a polymer. The data from this experiment are as follows (values are coded by dividing by 10).

a. Construct a normal probability plot of the effects. Which effects are active?

b. Construct an appropriate model. Fit this model and test for significant effects.

c. Analyze the residuals from this model by constructing a normal probability plot of the residuals and plotting the residuals versus the predicted values of y.

a. Construct a normal probability plot of the effects. Which effects are active?

b. Construct an appropriate model. Fit this model and test for significant effects.

c. Analyze the residuals from this model by constructing a normal probability plot of the residuals and plotting the residuals versus the predicted values of y.

## Answer to relevant Questions

Reconsider the data in Exercise 8.12. Suppose that four center points were added to this experiment. The molecular weights at the center point are 90, 87, 86, and 93. In exercise a. Analyze the data as you did in Exercise ...The data shown in the Table 8E.8 were collected in an experiment to optimize crystal growth as a function of three variables . Large values of y (yield in grams) are desirable. Fit a second-order model and analyze the ...Suppose that only the data from replicate I in Exercise 8.4 were available. Analyze the data and draw appropriate conclusions. Suppose that you have 15 observations on the number of hours to failure of a unit. The observations are 442, 381, 960, 571, 1861, 162, 334, 825, 2562, 324, 312, 368, 367, 968, and 15. Is the exponential distribution a ...A series system is shownin the accompanying figure. The reliability of each component is shown in the figure. Assuming that the components operate independently, calculate the system reliability.Post your question