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Chapter 3: Q.2.1 (page 149)

The scatter plots

Describe the direction of the relationship. Explain why this makes sense

Short Answer

Expert verified

The movement from the lower left to the higher right.

The two specified variables are related in a positive association

Step by step solution

01

Given Information

Given in the question that a graph.

02

Explanation

The given graph shows a clear direction that moves from left lower to right upper, implying that an increase in the number of consecutive eruptions of Old Faithful tends to increase the number of previous eruptions, and vice versa. In other words, there is a positive relationship between the two variables.

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Most popular questions from this chapter

Hot dogs Are hot dogs that are high in calories also high in salt? The figure below is a scatterplot of the calories and salt content (measured as milligrams of sodium) in 17brands of meat hot dogs.

(a) The correlation for these data is r=0.87. Explain what this value means.

(b) What effect would removing the hot dog brand with the lowest calorie content have on the correlation? Justify your answer.

Do students with higher IQ test scores tend to do better in school? The figure below shows a scatterplot of IQ and school grade point average (GPA) for all 78seventh-grade students in a rural midwestern school. (GPA was recorded on a 12-point scale with , A+=12,A=11,A-=10,B+=9,鈥�,D-=1,andF=0.)2

(a) Say in words what a positive association betweenIQ and GPA would mean. Does the plot show a positive association?

(b) What is the form of the relationship? Is it very strong? Explain your answers.

(c) At the bottom of the plot are several points that we might call outliers. One student, in particular, has a very low GPA despite an average IQ score. What are the approximate IQ and GPA of this student?

All brawn? The figure below plots the average brain weight in grams versus average body weight in kilograms for 96species of mammals. There are many small mammals whose points at the lower-left overlap.

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(b) What effect would removing the elephant have on the correlation? Justify your answer.

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(a) What are the explanatory and response variables in the study?

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You use the same bar of soap to shower each morning. The bar weighs 80grams when it is new. Its weight goes down by 6 grams per day on average. What is the equation of the regression line for predicting weight from days of use?
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