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Data Analysis and Statistics for Geography, Environmental Science, and Engineering
book

Data Analysis and Statistics for Geography, Environmental Science, and Engineering

by Miguel F. Acevedo
December 2012
Beginner content levelBeginner
557 pages
19h 5m
English
CRC Press
Content preview from Data Analysis and Statistics for Geography, Environmental Science, and Engineering
353Multivariate Models
10.5 EXERCISES
Exercise 10.1
Assume two uncorrelated variables X
1
and X
2
with the sample means 1.5 and 2.3, respectively, and
sample variances 0.2, 0.3, respectively. Assume a dependent variable Y with sample mean of 4.0
and that covariance of Y with X
1
and X
2
are 0.25 and 0.12, respectively. Calculate the coefcients of
linear multiple regression.
Exercise 10.2
Repeat the previous exercise but assume that X
1
and X
2
are correlated with covariance of 0.5. Discuss
the differences in results with respect to the results of the previous exercise.
Exercise 10.3
Suppose that a multivariate regression model has two dependent variables Y
1
and Y
2
and four inde-
pendent variables X
1
, X
2
, X
3
, X
4
. Determine the dimensions for matrices
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Publisher Resources

ISBN: 9781439885017