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Chapter 3: Q.2.2 (page 149)

What form does the relationship take? Why are there two clusters of points?

Short Answer

Expert verified

There is a linear relationship between the two variables.

Step by step solution

01

Given Information

The scatter plots

02

Explanation

The relationship between the two variables is shown to be linear in the provided diagram. One thing to observe is that the majority of the points fall into the right-hand clusters rather than the left-hand clusters. Because the data points fall into two clusters, there is a difference between the two clusters, yet the data points are associated to the same distribution.

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Most popular questions from this chapter

Oil and residuals The Trans-Alaska Oil Pipeline is a tube that is formed from 1/2-inch-thick steel and carries oil across 800miles of sensitive arctic and subarctic terrain. The pipe segments and the welds that join them were carefully examined before installation. How accurate are field measurements of the depth of small defects? The figure below compares the results of measurements on 100defects made in the field with measurements of the same defects made in the laboratory. The line y=x is drawn on the scatterplot.

(a) Describe the overall pattern you see in the scatterplot, as well as any deviations from that pattern.

(b) If field and laboratory measurements all agree, then the points should fall on the y=x line drawn on the plot, except for small variations in the measurements. Is this the case? Explain.

(c) The line drawn on the scatterplot (y=x) is not the least-squares regression line. How would the slope and y-intercept of the least-squares line compare? Justify your answer.

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Measurements are in centimeters (cm).

How much does height increase on average for each additional centimeter of arm span?

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