"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)

Math History Tidbit:

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.

 

"Infinity is where things happen that don't."
-Anonymous student.

Herkimer's Corner

Why did Herkimer feed garlic to his dog?

Answer: He wanted the dog's bark to be worse than its bite.

Herky's friends:

SUE WIDGE: She worked for the Department of Sanitation.

AUNTIE DOTE: She was good at producing remedies to counteract the effects of poison.

ASSIGNMENT #84

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).

Items for reflection:

You are working in Section 13.2.

In a Chi-Square setting, the null and alternate hypothesis can usuallybe presented in the following way:

H0: There is no associationbetween (categorical column variable) and (categorical rowvariable).

Ha: 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

=======================================

Text:
The Practice of Statistics, by Yates, Moore, McCabe. New York,W.H. Freeman and Company, 1999. (;l 0-7167-3370-6)

Supplemental books:
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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