O 31. Wild horses Large herds of wild horses can become a problem on some federal lands in the West. Research- ers 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 summarized in the 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% 4.941 with 38 – 2 = 36 degrees of freedom S = 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 e) Suppose that a new herd with 80 adult horses is lo- cated. Estimate, with a 90% prediction interval, the number of foals that may be born.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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T 31. Wild horses Large herds of wild horses can become a
problem on some federal lands in the West. Research-
ers 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 summarized in the output shown.
Variable
Count
Мean
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
e) Suppose that a new herd with 80 adult horses is lo-
cated. Estimate, with a 90% prediction interval, the
number of foals that may be born.
Transcribed Image Text:T 31. Wild horses Large herds of wild horses can become a problem on some federal lands in the West. Research- ers 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 summarized in the output shown. Variable Count Мean 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 e) Suppose that a new herd with 80 adult horses is lo- cated. Estimate, with a 90% prediction interval, the number of foals that may be born.
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