Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information:
x | 1 | 2 | 3 | 4 | 5 |
y | 15.6 | 18.7 | 14.4 | 19.6 | 20.0 |
Σx = 15; Σy = 88.3; Σx2 = 55; Σy2 = 1584.57; Σxy = 274.6
Find r.
(d) Test the claim that the population correlation coefficient is positive at the 1% level of significance. (Round your test statistic to three decimal places.)
t =
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