Sunday, 26 September 2010

Home Schooling Data

Found this data link at Maria Miller's "Homeschool Math Blog". Some interesting info about home-schooled students who take the SAT... Now I wonder how they compare to all home-schooled students.
Since I'm not sure how this graphic will work, here is a link to the original source, or just click on the image.

Homeschooling by the Numbers [Infographic]
Via: DegreeSearch.org

Friday, 24 September 2010

Correlating Federal Spending and College Tuition


My friend and colleague, Dru Martin in Germany sent me a link that points out that the average cost of tuition at four-year colleges in the US was very closly keeping pace with the total government spending budget. In fact, the article states that the correlation coefficient between the two for the period from 1997 to 2009 is 99.4%.

Argue all you want about correlation and causation... 99.4% is more than a "nod and suggestive wink." Here is the full article for you perusal.

Wednesday, 22 September 2010

Why -1 < r < 1

The formula for the correlation coefficient, r, in the AP Statistics hand out is given as .

The student is then expected to see that the value of r is always in the interval between -1 and 1 inclusive. The fact that this is not even remotely obvious to the new student is indicated by the frequency with which this question is asked by AP Statistics teachers on the AP electronic discussion group. Because my stats course is still a mathematics course, I would like for my students to develop some understanding of the reason, rather than just accepting it is true because “the teacher said so.” Toward that end, and because I believe vectors are undernourished in the current curriculum, I tend to explain the reasoning using the dot product of vectors. Because of the number of equations involved, I have stored the paper (in docx format) here.

One reader also requested the link to the blog on Standard Deviation as Distance..

Tuesday, 21 September 2010

Free Book Chapter




Just came across a link on the Mathforum's History page (not sure why it was there) but you can download a free chapter of "Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin" by Lawrence Weinstein & John A. Adam.

Enjoy