User talk:Kevin Dunn

You are probably looking for http://learnche.mcmaster.ca

The questions below are from previous McMaster University exams when the course was taught by Dr. John MacGregor and other instructors. We have covered much of the same material - but a few topics were not covered - so don't expect to be able to answer all questions.

<rst> <rst-options: 'toc' = False/> <rst-options: 'reset-figures' = False/>

.. |-| replace:: :math:`-` .. |+| replace:: :math:`+`

Size experiments were performed to assess the effects of the density (:math:`x_1`) and melt index (:math:`x_2`) of polyethylene chips on the quality (:math:`y`) of an extruded part. It is hypothesized that, over the ranges considered, the effects are linear. The data are mean centered and so a model of the form :math:`y = b_1x_1 + b_2x_2 + e` should hold. The sums of squares and cross products of the data are given below.

.. math::

  \sum{x_1^2} &= 7.0 \\    \sum{x_2^2} &= 3.0 \\   \sum{x_1x_2} &= 4.0 \\   \sum{x_1y} &= 38.0 \\   \sum{x_2y} &= 30.0 \\
 

and

.. math::

y_1 &= f_1(\beta_1, \beta_2) + e_1 \\ y_2 &= f_2(\beta_1, \beta_2) + e_2

Discuss any analysis or checks that one should do prior to the final estimation stage.

</rst>