Question

The scatter plot represents data collected about the number of symptomatic cases of influenza, also called the flu, in millions, in the U.S. since 2011.

Select all the statements that are true.
Responses

There is a linear association between the variables.
There is a linear association between the variables.

There is a non-linear association between the variables.
There is a non-linear association between the variables.

There is a positive association between the variables.
There is a positive association between the variables.

There is a negative association between the variables.
There is a negative association between the variables.

The pattern of association is weak.
The pattern of association is weak.

The pattern of association is moderate.
The pattern of association is moderate.

The pattern of association is strong.

1 answer

To accurately determine which statements are true based on the scatter plot, I would need to visually analyze the data. However, I can provide guidance on how to evaluate those statements based on typical characteristics of scatter plots:

  1. Linear Association: Check if the points approximate a straight line. If they do, you can conclude there is a linear association; otherwise, if the points form a curve or have no discernible pattern, it suggests non-linearity.

  2. Non-linear Association: If the points curve or otherwise do not form a straight line, then there is a non-linear association.

  3. Positive/Negative Association:

    • A positive association means that as one variable increases, the other also tends to increase.
    • A negative association indicates that as one variable increases, the other tends to decrease.
  4. Strength of Association:

    • A strong association means the points are closely clustered around a line (either linear or curved).
    • A moderate association indicates some spread but still shows a clear pattern.
    • A weak association features points that are widely scattered with little to no visible pattern.

Based on those criteria, review the scatter plot and select the appropriate statements. If you see a linear pattern and the points are closely clustered, you might choose “There is a linear association” and possibly “The pattern of association is strong.” If the points are scattered and do not follow a clear direction or trend, it may point toward a weak association or no association.

If you can describe the scatter plot further or provide specific data points, I can help you deduce the correct statements more accurately!