Question

In the decathlon event at large track meets, male athletes compete in a total of 10 events. Their combined performance in each of the events is used to determine the winner. Two of the events are the 200-meter dash and the javelin throw. For 12 athletes at a large international competition, performances in these events are recorded and placed in a scatterplot. The performance for one athlete from Latvia is labeled in the graph.

How does this point influence the correlation of the scatterplot?
This data point weakens the correlation.
This data point strengthens the correlation.
This data point has no influence on the correlation.
Removing this data point would lower the correlation coefficient.

Answer 1

Answer: Without actually seeing the scatterplot, it is difficult to determine the effect of the point for the specific situation described. However, in general, the effect of an outlier or an extreme value on a scatterplot depends on the context and the relationship between the variables being measured.

If the point is significantly far from the rest of the data points and does not follow the same general pattern or trend, it could be considered an outlier. In this case, it could have a significant effect on the correlation of the scatterplot. If the correlation was originally strong, the outlier could weaken the correlation, while if the correlation was originally weak, the outlier could strengthen the correlation.

On the other hand, if the point is not significantly far from the rest of the data points and follows the same general pattern or trend, it may not have a significant effect on the correlation of the scatterplot. In this case, removing the data point would likely have little effect on the correlation coefficient.

Explanation:

Answer 2

The labeled data point in the scatterplot for the decathlon event may or may not influence the correlation depending on its position and relation to the other data points. More information is needed to determine its specific impact.

The data point labeled in the scatterplot for the decathlon event does not necessarily influence the correlation of the scatterplot.

The influence of a data point on the correlation depends on its position and how it relates to the overall pattern of the other data points.

If the labeled data point in the scatterplot for the decathlon event is an outlier or an influential point, it may have an impact on the correlation of the scatterplot.

However, without more information or a clear description of the pattern in the scatterplot, it is difficult to determine the specific influence of the labeled data point on the correlation.