Answered: Correlations The study of U.S. cities…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Correlations The study of U.S. cities in Exercise
25 found the mean January Temperature (degrees
Fahrenheit), Altitude (feet above sea level), and Latitude
(degrees north of the equator) for 55 cities. Here’s the
correlation matrix:

a) Which seems to be more useful in predicting January
Temperature—Altitude or Latitude? Explain.
b) If the Temperature were measured in degrees Celsius,
what would be the correlation between Temperature
and Latitude?
c) If the Temperature were measured in degrees Celsius

and the Altitude in meters, what would be the correla-
tion? Explain.

d) What would you predict about the January Temperatures
in a city whose Altitude is two standard deviations
higher than the average Altitude?

Jan. Temp Latitude Altitude
Jan. Temp 1.000
Latitude -0.848 1.000
Altitude -0.369 0.184 1.000

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