The black‑capped chickadee (Poecile atricapilla) is a small songbird commonly found in the northern United States and Canada. Chickadees often live in cooperative flocks, using a complex language to communicate about food sources and predator threats. In an experiment, researchers recorded chickadee vocalizations in an aviary when presented with predators of various sizes. The table contains data representing the average number of D notes per chickadee warning call for each type of predator, along with the predator wingspan (in centimeters). The researchers also recorded chickadee calls in response to the introduction of a bobwhite, a harmless quail. The bobwhite has a wingspan of 48.1 cm and the chickadees responded with an average of 1.74 D notes per call. Use the software of your choice to find the new correlation when the data point for the bobwhite is included. (Enter your answer rounded to four decimal places.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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The black‑capped chickadee (Poecile atricapilla) is a small songbird commonly found in the northern United States and Canada. Chickadees often live in cooperative flocks, using a complex language to communicate about food sources and predator threats. In an experiment, researchers recorded chickadee vocalizations in an aviary when presented with predators of various sizes. The table contains data representing the average number of D notes per chickadee warning call for each type of predator, along with the predator wingspan (in centimeters).

The researchers also recorded chickadee calls in response to the introduction of a bobwhite, a harmless quail. The bobwhite has a wingspan of 48.1 cm and the chickadees responded with an average of 1.74 D notes per call. Use the software of your choice to find the new correlation when the data point for the bobwhite is included. (Enter your answer rounded to four decimal places.)

Predator Number of
wingspan D notes
(cm)
Predator
Number of
Predator
wingspan
(cm)
D notes
Predator
per call
per call
Pygmy owl
31.2
3.96
Gyrfalcon
115.1
2.25
Saw-whet owl
38.8
4.09
Peregrine falcon
120.0
2.80
Kestrel
57.6
2.76
Red-tailed hawk
120.0
2.56
Merlin
60.6
3.04
Great horned owl
120.4
2.46
Cooper's hawk
80.6
3.18
Great gray owl
132.2
2.06
Short-eared owl
89.2
2.28
Rough-legged hawk 138.0
1.36
Prairie falcon
109.9
2.20
Transcribed Image Text:Predator Number of wingspan D notes (cm) Predator Number of Predator wingspan (cm) D notes Predator per call per call Pygmy owl 31.2 3.96 Gyrfalcon 115.1 2.25 Saw-whet owl 38.8 4.09 Peregrine falcon 120.0 2.80 Kestrel 57.6 2.76 Red-tailed hawk 120.0 2.56 Merlin 60.6 3.04 Great horned owl 120.4 2.46 Cooper's hawk 80.6 3.18 Great gray owl 132.2 2.06 Short-eared owl 89.2 2.28 Rough-legged hawk 138.0 1.36 Prairie falcon 109.9 2.20
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