Mathematics Exam #11 - Statistics Mystery Cache
Hidden : 7/11/2009
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size: micro (micro)

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Geocache Description:

Everybody loves a good mathematics exam!
This is the eleventh in a series of mathematics exam puzzle caches.
Here's your chance to show your proficiency at statistics.
Have fun and good luck!

The cache is NOT located at the listed coordinates. It can be found at:   N 39° 23.ABC   W 083° 56.DEF

The values for A, B, C, D, E, and F may be found by figuring out the answers to the following statistics problems.

You are given the following data: 7, 9, 6, 11, 9, 7, 9, 9, 4, 10, and 7. Take the median of the data for A. Take the mode of the data for B. Subtract 2 from the mean of the data and use the result for C. Take the standard deviation of the data for D.

In a statistics course, a linear regression equation was computed to predict a student's score on the second quiz of the semester from the student's score on the first quiz. The equation of the least-squares regression line is given below, where y represents the second quiz score and x represents the first quiz score. Suppose a student scores a 7 on the first quiz. What would be the predicted value of the student's score on the second quiz? Use this predicted value for E.
          

A study is done to find the correlation between a faculty member's research productivity and teaching rating. The results indicate that a good researcher is just as likely to be a good teacher as they are a bad teacher, and the same is true for a bad researcher. Given this information, the correlation coefficient that was found between research productivity and teaching rating is very close to what integer? Use this integer for F.


You can check your answers for this puzzle on Geocheck.org.

Additional Hints (Decrypt)

[cache] glcvpny uvqr

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)


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