Question
question.
An illustration shows a scatterplot titled Number of Laps the Swim Team Completes Per Week. The x-axis shows weeks ranging from 1 through 10 in increments of one. The y-axis shows number of laps and ranges from 100 to 1,000 in 100 unit increments.
Eight points are plotted on the graph. A kink is shown on both the x- and y-axes close to the origin to indicate a break in the data. The points are plotted at approximate coordinates left parenthesis 1 comma 50 right parenthesis, left parenthesis 2 comma 150 right parenthesis, left parenthesis 3 comma 200 right parenthesis, left parenthesis 4 comma 300 right parenthesis, left parenthesis 5 comma 500 right parenthesis, left parenthesis 6 comma 600 right parenthesis, left parenthesis 7 comma 700 right parenthesis, and left parenthesis 8 comma 800 right parenthesis.
Interpret the scatterplot to determine what type of association the scatterplot shows
An illustration shows a scatterplot titled Number of Laps the Swim Team Completes Per Week. The x-axis shows weeks ranging from 1 through 10 in increments of one. The y-axis shows number of laps and ranges from 100 to 1,000 in 100 unit increments.
Eight points are plotted on the graph. A kink is shown on both the x- and y-axes close to the origin to indicate a break in the data. The points are plotted at approximate coordinates left parenthesis 1 comma 50 right parenthesis, left parenthesis 2 comma 150 right parenthesis, left parenthesis 3 comma 200 right parenthesis, left parenthesis 4 comma 300 right parenthesis, left parenthesis 5 comma 500 right parenthesis, left parenthesis 6 comma 600 right parenthesis, left parenthesis 7 comma 700 right parenthesis, and left parenthesis 8 comma 800 right parenthesis.
Interpret the scatterplot to determine what type of association the scatterplot shows
Answers
GPT-4o mini
To interpret the scatterplot titled "Number of Laps the Swim Team Completes Per Week," we can analyze the plotted points as they relate to the x-axis (weeks) and y-axis (number of laps).
1. **Trend Observation**: The plotted points seem to indicate an increasing trend:
- As the number of weeks progresses from 1 to 8, the number of laps completed increases from 50 to 800.
2. **Nature of the Association**: The association between the weeks and the number of laps is positive. This means that as the number of weeks increases, the number of laps completed per week also increases.
3. **Form of the Relationship**: The scatterplot appears to suggest a nonlinear relationship:
- Initially, the increase in laps from week 1 to week 4 (from 50 to 300) is somewhat gradual.
- However, after week 4, the increase in laps accelerates significantly (from 300 to 800 laps between weeks 4 and 8).
4. **Overall Interpretation**: The overall association can be described as a strong positive correlation between the weeks and the number of laps completed, with signs of growth that increase more dramatically as weeks progress.
In summary, the scatterplot shows a strong positive association, indicating that the swim team is completing more laps as the weeks increase, with a nonlinear growth pattern characterized by acceleration after a certain point.
1. **Trend Observation**: The plotted points seem to indicate an increasing trend:
- As the number of weeks progresses from 1 to 8, the number of laps completed increases from 50 to 800.
2. **Nature of the Association**: The association between the weeks and the number of laps is positive. This means that as the number of weeks increases, the number of laps completed per week also increases.
3. **Form of the Relationship**: The scatterplot appears to suggest a nonlinear relationship:
- Initially, the increase in laps from week 1 to week 4 (from 50 to 300) is somewhat gradual.
- However, after week 4, the increase in laps accelerates significantly (from 300 to 800 laps between weeks 4 and 8).
4. **Overall Interpretation**: The overall association can be described as a strong positive correlation between the weeks and the number of laps completed, with signs of growth that increase more dramatically as weeks progress.
In summary, the scatterplot shows a strong positive association, indicating that the swim team is completing more laps as the weeks increase, with a nonlinear growth pattern characterized by acceleration after a certain point.