Wolf packs tend to be large extended family groups that have a well-defined hunting territory. Wolves not in the pack are driven out of the territory or killed. In ecologically similar regions, is the...

Wolf packs tend to be large extended family groups that have a well-defined hunting territory. Wolves not in the pack are driven out of the territory or killed. In ecologically similar regions, is the size of an extended wolf pack related to size of hunting region? Using radio collars on wolves, the size of the hunting region can be estimated for a given pack of wolves. Let
x
represent the number of wolves in an extended pack and
y
represent the size of the hunting region in km²/1000. The following data are representative of one of the national parks.

x wolves	29	37	22	61	94
y km²/1000	7.35	12.18	8.15	15.39	16.81

(a) Verify that

Σx = 243,

Σy = 59.88,

Σx²
= 15,251,

Σy²
= 788.2256,

Σxy = 3362.04,

and

r ≈ 0.9135.

Σx
Σy
Σx ²
Σy ²
Σxy
r

(b) Use a 1% level of significance to test the claim

ρ > 0.

(Use 2 decimal places.)

t
critical t

S_e
≈ 1.9804,

a ≈ 5.5942,

and

b ≈ 0.13131.

S_e
a
b

Jun 01, 2022

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Wolf packs tend to be large extended family groups that have a well-defined hunting territory. Wolves not in the pack are driven out of the territory or killed. In ecologically similar regions, is the...

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