To determine the correct description of the data in the table, we need to analyze the relationship between the variables and the direction of their association. In this case, we have two variables: time worked (in hours) and earnings (in dollars).
One way to determine the correct description is by creating a scatter plot of the data. A scatter plot plots the data points on a graph with the explanatory variable on the x-axis and the response variable on the y-axis. This will help us visualize and analyze the relationship between the variables.
From the given data:
Time Worked (hours): 8, 11, 10, 5, 12, 8
Earnings ($): 72, 99, 90, 45, 108, 72
Plotting these data points on a scatter plot, we get:
(x-axis: Time Worked, y-axis: Earnings)
(8, 72)
(11, 99)
(10, 90)
(5, 45)
(12, 108)
(8, 72)
Now that we have the scatter plot, we can analyze the relationship between the variables. If the points on the plot generally form an upwards trend or positive slope, it indicates a positive association. On the other hand, if the points form a downwards trend or negative slope, it suggests a negative association.
Looking at the scatter plot, we can see that the points do not form a clear trend. There's no consistent increase or decrease in earnings as the time worked increases or decreases. The scatter plot suggests that there is no strong association between the variables.
Therefore, the correct description of the data in the table would be:
A. The explanatory variable is time worked. The response variable is earnings. The association is positive.
So, you were correct. The correct answer is A.