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Chapter 12: Q. 11 (page 761)

Beavers and beetles Refer to Exercise 9.

(a) How many clusters of beetle larvae would you predict in a circular plot with 5 tree stumps cut by beavers? Show your work.

(b) About how far off do you expect the prediction in part (a) to be from the actual number of clusters of beetle larvae? Justify your answer.

Short Answer

Expert verified

a) 58.184 clusters of beetle larvae.

b)6.41939

Step by step solution

01

Part(a) Step 1: Given Information

Given in the question that, refer exercise 9

We need to find How many clusters of beetle larvae would you predict in a circular plot.

02

Part(a) Step 2: Explanation

The estimates a and b are given in the column of "Coef":

y^=-1.286+11.894x

Replace x by 5 and evaluate:

y^=-1.286+11.894(5)=58.184

03

Part(b) Step 1: Given Information

Given in the question is to refer exercise 9. From that we hace to fine how far off you expect the prediction in part (a) to be from the actual number of clusters of beetle larve

04

Part(b) Step 2: Explanation

Given:

s=6.41939

The expected error made when making predictions is given by 蟽, which is estimated by s. Thus we expect that the prediction will be off by 6.41939 on average.

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Most popular questions from this chapter

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