Chapter 3.1, Problem 11E

To determine

Similarities and differences in relationship between height and weight for two groups of athletes.

Answer to Problem 11E

Similarities:

Linear and positive association between height and weight for both groups, and neither group seems to have outliers.

Differences:

Weaker relationship between height and weight for athletes in the discus throw, hammers throw and shot put.

Weights in athletes like discus throw, hammers throw and short put should be higher in comparison to other athletes.

Explanation of Solution

Given information:

In Blue: Athletes from shot put, discus throw, hammers throw

In Black: Other track and field athletes

  

Similarities:

Note that

In the scatterplot, since the pattern slopes upwards for both groups of athletes, this shows the positive association between height and weight for both groups.

And

No strong curvature exists in the points of either group; the association seems to be linear for both the groups.

Also,

Since there is no strong deviation of points from the pattern in the other points, neither group seems to have outliers.

Differences:

Note that

In the scatterplot, since the squares are spread further seem compared to the dots, there seems to be weaker relationship between height and weight for the athletes like hammer throw, discus throw and shot put.

Also,

In the scatterplot, since most of the squares lie above the dots, the weight of athletes in the hammer throw, discus throw and shot put seems to be higher than the weight of other athletes.