Introduction
In this lesson, we learn two measures of ...Major topics here...
Where does this topic fit in?o Model formulation
o Model estimation
o Model evaluation
o Model use
Learning objectives & outcomes
Upon completion of this lesson, you should be able to do the following:
- Know that the coefficient of determination (r2) and the correlation coefficient (r) are measures of linear association. That is, they can be 0 even if there is perfect nonlinear association.
- Know how to interpret the r2 value.
- Understand the cautions necessary in using the r2 value as a way of assessing the strength of the linear association.
- Know how to calculate the correlation coefficient r from the r2 value.
- Know what various correlation coefficient values mean. There is no meaningful interpretation for the correlation coefficient as there is for the r2 value.
- Know the t-test for testing that β1 = 0, the F-test for testing that β1 = 0, and the t-test for testing that ρ = 0 yield similar results, but understand when it makes sense to report the results of each one.
Our "to do" list
This lesson will be made available to all students by midnight on Friday, 17 Sept 2004. In order to complete the lesson by midnight on Friday, 24 Sept 2004, you should:
-
Read and work
through the seven pages of content. - Type up your answers
to all of the practice problems in a Word file named "practice04_yourPSUid.doc".
That is, if your PSU user id is "ljs1," then name your file "practice04_ljs1.doc".
In order to practice communicating with others using appropriate statistical
language, you are expected to write using complete, grammatically- and statistically-correct
sentences.
Upload the file to the Lesson #4 Practice Problems dropbox. - Type up your answers
to the comprehensive exercises in a Word file named "exercises04_yourPSUid.doc".
That is, if your PSU user id is "ljs1," then name your file "exercises04_ljs1.doc".
Again, in order to practice communicating with others using appropriate
statistical language, you are expected to write using complete, grammatically-
and statistically-correct sentences.
Upload the file to the Lesson #4 Comprehensive Exercises
dropbox.
-
Post any questions or comments you have concerning the lesson's material
to the Lesson #4 General Discussion. Don't forget that
we are working to build a "statistical learning community." The
only way we can build a community is to "talk" to one another. -
Check the List of Participants for the Special Topic Discussion.
If you are one of the selected participants of this lesson's special discussion,
"drop in and take part" in the Special Topic Discussion.
If you are not one of the selected participants, "watch" the discussion
from the sidelines. One of the quiz questions may pertain to the special
topic discussion. -
Take
the Lesson #4 Mastery Quiz. Don't forget two things —1)
you can see the quiz as soon as the lesson is open, and 2) you can take
the quiz only once. As soon as you hit the "submit" button, your
answers are submitted and graded, and the quiz becomes closed to you. The
quiz is intended to assess your mastery of the material. Therefore, one
strategy is to print and review the quiz before you work through
the lesson's content, thereby giving some focus to your learning experience.
And, this is what I will do to help you successfully complete the lesson:
- I will open the
lesson by midnight on Friday, 17 Sept 2004.
- I will monitor
the Lesson #4 General Discussion
regularly, and will jump in, share my thoughts, ask questions, and answer
questions as it is appropriate to do so. This discussion, in effect, should
serve as our "classroom," hopefully just a more informal one —
and hence the coffee cup logo. It is where you should get the questions
that you need answered in order to master the lesson's material.
- I will monitor
the Special Topic Discussion
regularly, will jump in, share my thoughts, maybe nudge the discussion a
little, and maybe even pose a different question or two.
- I will review
your submitted solutions to the practice problems and comprehensive exercises,
assign individual student grades as described in the course syllabus, and
provide general feedback to the class as a whole as opposed to each individual
student. I will post solutions as necessary.
- I will monitor
each student's performance on the
Lesson #4 Mastery Quiz, and check in with those students needing
additional assistance in mastering the material.
- I will close the
two dropboxes and mastery quiz at midnight on Friday,
24 Sept 2004.