Chapter 15, Problem 5PS

In the production of printed circuit boards, errors in the alignment of electrical connections are a source of scrap. The data in the RegistrationError-HighCost contains the registration error and the temperature used in the production of circuit boards is an experiment in which higher cost material was used.

a. Construct a scatter plot for temperature and registration error.

b. Fit a quadratic regression model to predict registration error and state and quadratic regression equation.

c. Perform a residual analysis on the results and determine whether the regression model is valid.

d. At the 0.05 level of significance, is there a significant quadratic relationship between temperature and registration error?

e. At the 0.05 level of significance, determine whether the quadratic model is a better fir than the linear model.

f. Interpret the meaning of the coefficient of multiple determination.

g. Compute the adjusted $r^2.$

h. What conclusions can you reach concerning the relationship between registration error and temperature?