"Who has not been amazed to learn that the function y = ex, like a phoenix rising again from its own ashes, is its own derivative." - (Francois le Lionnais)
Infinity: Throughout the history of mathematics, the concept of infinity seemed to reside in a "twilight zone." Amazingly, the mystery of the infinite wasn't really resolved until the time and work of Georg Cantor (1845-1918). Some of the great mathematicians of the past treated infinity as a number. For instance, Leonhard Euler (1707-1783) in his Algebra (1770), incorrectly stated that 1/0 equals infinity and then, without any clarification, went on to say that 2/0 is twice as large as 1/0.
Why did Herkimer feed garlic to his dog?
Answer: He wanted the dog's bark to be worse than its bite.
SUE WIDGE: She worked for the Department of Sanitation.
AUNTIE DOTE: She was good at producing remedies to counteract the effects of poison.
Reading: Section 13.2 (pages 723-735). Study the computer printouts.
Exercises: 13.21 (page 736), and problems 18,19,20 from the 1997 multiple choice (handout).
You are working in Section 13.2.
In a Chi-Square setting, the
0: There is no associationbetween (categorical column variable) and (categorical rowvariable).
: There is an association between (categorical columnvariable) and (categorical row variable).
- With r rows and c columns, there are (r-1)(c-1) degrees of freedom.
- The chi-square distribution represents an approximation that can be used when
- all expected counts are at least 1, and
- no more than 20% are less than 5.
NOTE: A bit of thematerial in Chapter 14 is included on the Advanced Placement Statistics Syllabus. If you take the Hideaway Home Page Link toWRITINGS AND REFLECTIONS, you will find a short paper titledINFERENCE FOR SLOPE OF REGRESSION LINE AND READING COMPUTERPRINTOUTS. This paper represents a brief summary of some items thatmight appear on the AP Exam.
LINK TO SECTIONSUMMARIES
LINK TO STATISTICS HOMEPAGE
The Practice of Statistics, by Yates, Moore, McCabe. New York,W.H. Freeman and Company, 1999. (;l 0-7167-3370-6)
The Cartoon Guide to Statistics, by Gonick and Smith. NewYork, HarperCollins Publishers, 1993. (ISBN 0-06-273102-5)
How to Lie with Statistics, by Darrell Huff. New York, W.W.Norton & Company, 1982 (ISBN 0-393-09426-X)
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