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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

Scientists examined the activity level of 7 fish at different temperatures. Fish activity was rated on a scale of 0 (no activity) to 100 (maximal activity). The temperature was measured in degrees Celsius. A computer regression printout and a residual plot are provided. Notice that the horizontal axis on the residual plot is labeled 鈥淔itted value,鈥� which means the same thing as 鈥減redicted value.鈥�

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

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Managing diabetes People with diabetes measure their fasting plasma glucose (FPG, measured in milligrams per milliliter) after fasting for at least 8 hours. Another measurement, made at regular medical checkups, is called HbA. This is roughly the percent of red blood cells that have a glucose molecule attached. It measures average exposure to glucose over a period of several months. The table gives data on both HbA and FPG for 18 diabetics five months after they had completed a diabetes education class.

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c. Subject 15 is an outlier in the y-direction. What effect do you think this subject has on the correlation? What effect do you think this subject has on the equation of the least-squares regression line? Calculate the correlation and equation of the least-squares regression line with and without this subject to confirm your answer.

Teaching and research A college newspaper interviews a psychologist about student ratings of the teaching of faculty members. The psychologist says, 鈥淭he evidence indicates that the correlation between the research productivity and teaching rating of faculty members is close to zero.鈥� The paper reports this as 鈥淧rofessor McDaniel said that good researchers tend to be poor teachers, and vice versa.鈥� Explain why the paper鈥檚 report is wrong. Write a statement in plain language (don鈥檛 use the word correlation) to explain the psychologist鈥檚 meaning.

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a. 2

b. 1

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