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Is there a relationship between the two sets of data?

A. No
B. Yes
Given: Scuba Diver Depth vs. Water temperature
X-axis: Depth of a scuba diver= 20,40,60,80,100,120
Y-axis: Water Temperature= 100,20,30,40,50,60,70,80,90,100

1 answer

To determine if there is a relationship between the two sets of data—scuba diver depth and water temperature—let's analyze the situation:

  1. Understanding the Variables:

    • The X-axis represents the depth of the scuba diver in feet (20, 40, 60, 80, 100, 120).
    • The Y-axis represents the water temperature in degrees (which seems to go from 100 down to 10).

  2. Expected Relationship:

    • Generally, as a scuba diver goes deeper into the water, the temperature tends to decrease due to the stratification of temperature in water bodies.
    • The temperatures given (100, 20, 30, 40, 50, 60, 70, 80, 90, 100) need to be examined against the depths provided.

  3. Data Observations:

    • The temperature doesn’t seem to align in a way that suggests a consistent relationship with depth.
    • Without clear temperature readings corresponding to particular depths, it's difficult to establish a precise correlation.

  4. Conclusion:

    • If we are to assume that the temperature data provided does relate to the respective depths in general terms, you might expect a negative correlation (temperature decreases with increasing depth).
    • However, if the temperature data is disorganized or does not consistently correlate with the provided depths (which seems to be the case here), then one could say:

Answer: A. No (there is no clear relationship given the irregular data).