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Chapter 3: Q 1. (page 171)

Coral reefs and cell phones Identify the explanatory variable and the

response variable for the following relationships, if possible. Explain your reasoning.

a. The weight gain of corals in aquariums where the water temperature is controlled at different levels

b. The number of text messages sent and the number of phone calls made in a sample of 100students

Short Answer

Expert verified

Part (a) Because the temperature of the water affects weight gain.

Part (b) These could be a response or explanatory variables.

Step by step solution

01

Part (a) Step 1: Given information

Cell phones and coral reefs For the following relationships, identify the explanatory variable and the response variable.

02

Part (a) Step 2: Explanation

The provided variables are the weight gain of corals in aquariums is regulated at various levels, as is the temperature of the water. The explanatory variable is water temperature, and the response variable is weight increase. Because the temperature of the water affects weight gain.

03

Part (b) Step 1: Explanation

"The number of sent text messages and phone calls sent to the sample of 100students" is one of the variables offered.

Both variables could be explanatory variables or response variables in this case. Because neither variable is related to the other. As a result, these variables could be both a response and an explanatory variable.

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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?

a. For every 1掳C increase in temperature, fish activity is predicted to increase by 4.785 units.

b. The typical distance of the temperature readings from their mean is about 4.785掳C.

c. The typical distance of the activity level ratings from the least-squares line is about 4.785 units.

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

e. At a temperature of 0掳C, this model predicts an activity level of 4.785 units.

Points and turnovers Here is a scatterplot showing the relationship between

the number of turnovers and the number of points scored for players in a recent NBA season.15 The correlation for these data is r=0.92 Interpret the correlation.

A school guidance counselor examines how many extracurricular activities students participate in and their grade point average. The guidance counselor says, 鈥淭he evidence indicates the correlation between the number of extracurricular activities. a student participates in and his or her grade point average is close to 0.鈥� Which of the following is the most appropriate conclusion?

a. Students involved in many extracurricular activities tend to be students with poor grades.

b. Students with good grades tend to be students who are not involved in many extracurricular activities.

c. Students involved in many extracurricular activities are just as likely to get good grades as bad grades.

d. Students with good grades tend to be students who are involved in many

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e. No conclusion should be made based on the correlation without looking at a scatterplot of the data.

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