Question
Correlation Practice
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Question
Use the image to answer the question.
An illustration shows a scatterplot titled Amusement Park Traffic. The x-axis shows years in increments of one from 2010 through 2020. The y-axis shows number of cars from 10,000 to 13,000 in increments of 500. Ten 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 the approximate coordinates left parenthesis 2010 comma 10,000 right parenthesis, left parenthesis 2011 comma 12,000 right parenthesis, left parenthesis 2012 comma 11,500 right parenthesis, left parenthesis 2013 comma 10,500 right parenthesis, left parenthesis 2014 comma 12,500 right parenthesis, left parenthesis 2015 comma 11,000 right parenthesis, left parenthesis 2016 comma 11,000 right parenthesis, left parenthesis 2017 comma 10,000 right parenthesis, left parenthesis 2018 comma 12,500 right parenthesis, left parenthesis 2019 comma 12,500 right parenthesis, and left parenthesis 2020 comma 10,500 right parenthesis.
The graph shows the amount of amusement park traffic. Interpret the scatterplot to determine what type of association the scatterplot shows. Enter 1 if there is a positive association. Enter 2 if there is no association. Enter 3 if there is a negative association.
(1 point)
Answers
GPT-4o mini
To interpret the scatterplot based on the coordinates provided, we observe the following:
- The data points show some fluctuations in the number of cars from year to year.
- There is no clear upward or downward trend in the data points, indicating that as the years progress, the number of cars does not consistently increase or decrease. For instance, the number of cars rises in some years (2011, 2014, 2018, and 2019) but falls in others (2010, 2012, 2013, 2015, 2016, 2017, and 2020).
Given this analysis, the scatterplot indicates that there is no consistent relationship between the years and the number of cars. Therefore, the correct option would be:
**Enter 2 if there is no association.**
- The data points show some fluctuations in the number of cars from year to year.
- There is no clear upward or downward trend in the data points, indicating that as the years progress, the number of cars does not consistently increase or decrease. For instance, the number of cars rises in some years (2011, 2014, 2018, and 2019) but falls in others (2010, 2012, 2013, 2015, 2016, 2017, and 2020).
Given this analysis, the scatterplot indicates that there is no consistent relationship between the years and the number of cars. Therefore, the correct option would be:
**Enter 2 if there is no association.**