Homework 5

Chapter 3

Complete the following 4 problems:

1. Problem 2.10
2. Problem 2.13abc
3. Problem 2.16ab
4. Problem 2.28ab

Directions

For problems that ask for a confidence / prediction interval at a specific predictor value, also plot a scatter plot of the data along with the pointwise confidence / prediction interval using functions from ggformula.

Chapter 5

Complete the following 3 problems:

1. Problem 5.1
   • Compute by-hand, and check your answers using R.
   • For matrix-matrix products, perform the computation using both the definition of a matrix-matrix product and the row-column rule.
2. Problem 5.2
   • Same directions as Problem 5.1
3. Problem 5.10
   • Use R to find the inverses and to verify that they are in fact inverses.

Directions

If you are not feeling up to the Herculean task of typesetting matrix arithmetic using LaTeX, you can write out your solutions (neatly!) by-hand.

Additional Problems

Choose two problems from Homework 1-4 for which you lost points, and provide new solutions.

Important: You should not just parrot the solutions I have posted on eCampus. Think about the problems, without using the posted solutions.