High-alumina refractory castables have been extensively investigated in recent years because of their significant advantages over other
Question:
The authors of the cited paper related these two variables using a quadratic regression model. The estimated regression function is y = -295.96 + 2.1885x - .0031662x2.
a. Compute the predicted values and residuals, and then SSE and s2.
b. Compute and interpret the coefficient of multiple determination.
c. The estimated SD of bÌ2 is sbÌ2 = .0004835. Does the quadratic predictor belong in the regression model?
d. The estimated SD of βÌ1 is .4050. Use this and the information in (c) to obtain joint CIs for the linear and quadratic regression coefficients with a joint confidence level of (at least) 95%.
e. The estimated SD of µY.400 is 1.198. Calculate a 95% CI for true average free-flow when viscosity = 400 and also a 95% PI for free-flow resulting from a single observation made when viscosity = 400, and compare the intervals.
Step by Step Answer:
Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore