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Chapter 3: Q 13. (page 172)

Manatees are large, gentle, slow-moving sea creatures found along the coast of Florida. Many manatees are injured or killed by boats. Here is a scatterplot showing the relationship between the number of boats registered in Florida (in thousands) and the number of manatees killed by boats for the years 1977 to 2015.13Isr>0orr<0? Closer to r=0orr=卤1?Explain your reasoning.

Short Answer

Expert verified

Data points are following the linear positive pattern which implies that the correlation is greater than 0 and closer to 1 that is, r>0 and closer to 1

Step by step solution

01

Given information

The figure is:

02

Explanation

The scatter plot is a graph that shows the association between two variables. It displays the level of correlation between two variables, known as the dependent and independent variables.

If the data points in the scatter plot create a linear pattern with a positive slope, the relationship between the variables is said to have the perfect positive.

The data points in the presented graph follow a linear positive pattern, indicating that the correlation is bigger than 0 and closer to 1 i.e., r>0 and closer to 1

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Most popular questions from this chapter

The scatterplot shows reading test scores against IQ test scores for 14 fifth-grade children. There is one low outlier in the plot. What effect does this low outlier have on the correlation?

a. It makes the correlation closer to 1.

b. It makes the correlation closer to 0 but still positive.

c. It makes the correlation equal to 0.

d. It makes the correlation negative.

e. It has no effect on the correlation.

Will I bomb the final? We expect that students who do well on the midterm exam in a course will usually also do well on the final exam. Gary Smith of Pomona College looked at the exam scores of all 346 students who took his statistics class over a 10-year period. Assume that both the midterm and final exams were scored out of 100 points.

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Which of the following gives a correct interpretation of s in this setting?

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d. The typical distance of the activity level readings from their mean is about 4.785 units.

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Correlation isn鈥檛 everything Marc and Rob are both high school English teachers. Students think that Rob is a harder grader, so Rob and Marc decide to grade the same 10 essays and see how their scores compare. The correlation is r=0.98 but Rob鈥檚 scores are always lower than Marc鈥檚. Draw a possible scatterplot that illustrates this situation.
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