Answered: 10 100 150 # of Adults 50 200 22.5 15.0…

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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Wild horses Large herds of wild horses can become a
problem on some federal lands in the West. Researchers
hoping to improve the management of these herds
collected data to see if they could predict the number of
foals that would be born based on the size of the current

herd. Their attempt to model this herd growth is summa-
T rized in the graphs and output shown.Variable Count Mean StdDev
Adults 38 110.237 71.1809
Foals 38 15.3947 11.9945
Dependent variable is: Foals
R-squared = 83.5%
s = 4.941 with 38 - 2 = 36 degrees of freedom
Variable Coefficient SE(Coeff) t-ratio P-value
Intercept -1.57835 1.492 -1.06 0.2970
Adults 0.153969 0.0114 13.5 ...0.0001
a) How many herds of wild horses were studied?
b) Are the conditions necessary for inference satisfied?
Explain.
c) Create a 95% confidence interval for the slope of this
relationship.
d) Explain in this context what that slope means.
e) Suppose that a new herd with 80 adult horses is
located. Estimate, with a 90% prediction interval,
the number of foals that may be born.

10
100
150
# of Adults
50
200
22.5
15.0
Predicted (# of foals)
7.5
30.0
8.
-10.0
0.0
10.0
Residuals (# of foals)
20
4.
junoo
# of Foals
Residuals (# of foals)

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