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Chapter 3: Q 5. (page 171)

Olympic athletes The scatterplot shows the relationship between height (in

inches) and weight (in pounds) for the members of the United States 2016 Olympic Track and Field team.10 Describe the relationship between height and weight for these athletes.

Short Answer

Expert verified

Positive, linear and moderately strong association includes few outliers.

Step by step solution

01

Given information

The following scatterplot depicts the association between height (in inches) and weight (in pounds) for members of the US Olympic Track and Field team in 2016:

02

Explanation

Strength: These spots in the scatterplot are not too close together and are not too far apart.

Form: There is no substantial curvature in the scatterplot. As a result, the shape will be linear.

Direction: The pattern's upward slope means the direction will be positive.

Unusual features: There are a few outliers near the top of the scatterplot, corresponding to individuals who are significantly heavier than the other athletes of the same height.

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More Olympics Athletes who participate in the shot put, discus throw, and hammer throw tend to have different physical characteristics than other track and field athletes. The scatterplot shown here enhances the scatterplot from Exercise 5 by plotting these athletes with blue squares. How are the relationships between height and weight the same for the two groups of athletes? How are the relationships different?

The stock market Some people think that the behavior of the stock market in January predicts its behavior for the rest of the year. Take the explanatory variable xto be the percent change in a stock market index in January and the response variable yto be the change in the index for the entire year. We expect a positive correlation between xand y because the change during January contributes to the full year鈥檚 change. Calculation from data for an 18-year period gives

x炉=1.75%sz=5.36%y炉=9.07%sy=15.35%r=0.596

(a) What percent of the observed variation in yearly changes in the index is explained by a straight-line relationship with the change during January?

(b) For these data, s=8.3Explain what this value means
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