Question

i can construct and interpret scatter plots.
the scatter plot compares the number
of steps walked and the number of
hours of tv watched in a day for
several people. use the graph to
answer 7 - 10.

1. describe the association and any conclusions you

can make from the data.

1. are there any outliers in the data? explain.
2. is there any clustering in the data? explain.
3. predict the number of steps walked by a person

who watched 4 hours of tv.

Explanation:

7. Describe the association and any conclusions you can make from the data.

Step1: Analyze the trend

As the number of hours of TV watched increases, the number of steps walked decreases. This shows a negative association.

Step2: Conclusion

People who watch more TV tend to walk fewer steps.

8. Are there any outliers in the data? Explain.

Step1: Identify outliers

An outlier is a data point that is far from the other data points. Looking at the scatter - plot, the point where hours of TV watched is 9 and steps walked is 10 (in thousands) is far from the main cluster of points.

Step2: Conclusion

Yes, there is an outlier. The point (9, 10) (assuming x - axis is hours of TV watched and y - axis is steps walked in thousands) is an outlier as it does not follow the general negative trend of the data.

9. Is there any clustering in the data? Explain.

Step1: Look for clusters

Clustering is when data points are grouped closely together. In the scatter - plot, there is a cluster of points where hours of TV watched is around 6 - 7 and steps walked is around 1 - 2 (in thousands).

Step2: Conclusion

Yes, there is clustering. There is a group of data points in the lower - left region of the scatter - plot (higher TV hours, lower steps) and another group in the upper - right region (lower TV hours, higher steps).

10. Predict the number of steps walked by a person who watched 4 hours of TV.

Step1: Estimate from the trend

Since there is a negative association, we can estimate based on the general trend of the data. If we assume a linear - like trend (even though it's not a perfect line), when \(x = 4\) (hours of TV watched), looking at the scatter - plot, we can estimate the \(y\) - value (steps walked in thousands).

Step2: Visual estimate

By looking at the scatter - plot, a rough estimate could be around 6 (thousand steps).

Answer:

1. There is a negative association. People who watch more TV tend to walk fewer steps.
2. Yes, the point (9, 10) (assuming x - axis is hours of TV watched and y - axis is steps walked in thousands) is an outlier as it does not follow the general negative trend.
3. Yes, there are clusters. One cluster in the lower - left (higher TV hours, lower steps) and another in the upper - right (lower TV hours, higher steps).
4. Approximately 6000 steps.