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MANE 6313 - Design of Experiments

Homework Assignment 10

Assigned: April 7, 2025

Due: April 18, 2025

Work problem 3.11 from Montgomery, Peck and Vining1. When a decision or analysis is made, use \(\alpha= 0.05\) unless told to use another value. There is a library, MPV, in CRAN that contains the data values for the Montgomery, Peck and Vining textbook. Install MPV before starting homework 10. Instructions for using the MPV library are provided in this assignment.

  • Parts a- e as written,
  • Part f, perform a partial F-test for the full model and the reduced model found in part d,
  • Part g, construct a 99% confidence interval for the mean when \(x_2=60\) and \(x_5=2.65\) (\(x_2\) is the variable temp and \(x_5\) is the variable particle size),
  • Part h, construct a 99% prediction interval when \(x_2=60\) and \(x_5=2.65\) (\(x_2\) is the variable temp and \(x_5\) is the variable particle size).

Problem 3.11

Problem 3.11

Problem 3.11 - Data Table

Table B.7

Using MPV Library

library('MPV')
data(table.b7)
attach(table.b7)
# full model
model.full <- lm(y~x1+x2+x3+x4+x5)
summary(model.full)
detach(table.b7)

Please upload your submission as a single PDF document to the Homework 10 Drop Box before the end of the day on April 10, 2024.

  1. Montgomery, Peck and Vining (2012). Introduction to Linear Regression Analysis, 5th edition. John Wiley and Sons. ↩