# Question: Wildlife populations are monitored with aerial photographs The number of animals

Wildlife populations are monitored with aerial photographs.The number of animals and their locations relative to areas inhabited by the human population are useful information. Sometimes it is possible to monitor the physical characteristics of the animals. The length of an alligator can be estimated quite accurately from aerial photographs, but its weight cannot.The following data are the lengths, x (in inches), and weights, y (in pounds), of alligators captured in central Florida and can be used to predict the weight of an alligator based on its length.

a. Construct a scatter diagram for length, x, and weight, y.

b. Does it appear that the weight of an alligator is predictable from its length? Explain.

c. Is the relationship linear?

d. Explain why the line of best fit, as described in this chapter, is not adequate for estimating weight based on length.

e. Find the value of the linear correlation coefficient.

f. Explain why the value of r can be so high for a set of data that is so obviously not linear in nature.

a. Construct a scatter diagram for length, x, and weight, y.

b. Does it appear that the weight of an alligator is predictable from its length? Explain.

c. Is the relationship linear?

d. Explain why the line of best fit, as described in this chapter, is not adequate for estimating weight based on length.

e. Find the value of the linear correlation coefficient.

f. Explain why the value of r can be so high for a set of data that is so obviously not linear in nature.

**View Solution:**## Answer to relevant Questions

The 2007 Current Population Survey reported the following results on U.S. annual household income (in thousands). The survey is a joint effort between the Census Bureau and the Bureau of Labor Statistics. Suppose one ...Determine whether each of the following pairs of events is independent: a. Rolling a pair of dice and observing a “2” on one of the dice and having a “total of 10” b. Drawing one card from a regular deck of playing ...Suppose that P(A) = 0.3 P(B) = 0.4 and P(A and B) = 0.12 a. What is P(A|B) ? b. What is P(B|0A) c. Are A and B independent? A box contains one each of $1, $5, $10, and $20 bills. a. One bill is selected at random; list the sample space. b. Two bills are drawn at random (without replacement); list the sample space as a tree diagram. One single-digit number is selected randomly. a. List the sample space. b. What is the probability of each single digit? c. What is the probability of an even number?Post your question