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 Find the predicted size of the hunting region for an extended pack of 78 wolves. (Use 2 decimal places.) km2/1000 (e) Find an 85% confidence interval for your prediction of part (d). (Use 1 decimal place.) lower limit km2/1000 upper limit km2/1000 (f) Use a 1% level of significance to test the claim that β > 0. (Use 2 decimal places.) t critical t (g) Find a 95% confidence interval for β and interpret its meaning in terms of drift rate. (Use 2 decimal places.) lower limit upper limit Interpretation
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 |
Find the predicted size of the hunting region for an extended pack of 78 wolves. (Use 2 decimal places.)
km2/1000
(e) Find an 85% confidence interval for your prediction of part (d). (Use 1 decimal place.)
| lower limit | km2/1000 |
| upper limit | km2/1000 |
(f) Use a 1% level of significance to test the claim that
(Use 2 decimal places.)
| t | |
| critical t |
(g) Find a 95% confidence interval for β and interpret its meaning in terms of drift rate. (Use 2 decimal places.)
| lower limit | |
| upper limit |
Interpretation
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