To assess the association shown by the given data, you would first input the data and create a scatterplot. However, since I cannot create visual content or directly draw a scatterplot, I’ll guide you through the process of analyzing the data and determining the type of association.
Given Data
- Students: 1, 2, 3, 4, 5, 6, 7, 8, 9
- Hours Studied: 3, 1, 5, 4, 3, 5, 0, 1, 2
- Test Scores: 90, 86, 84, 92, 91, 100, 76, 82, 85
Steps to Create a Scatterplot
-
Plotting: You would plot each student's hours studied on the x-axis and their corresponding test scores on the y-axis.
- For example, for Student 1, you would plot a point at (3, 90).
- Continue this for each student until all points are plotted.
-
Observing the Points: Once you plot all the points, look for patterns:
- Do the points rise together (which indicates positive association)?
- Do the points fall together (which indicates negative association)?
- Are the points scattered randomly with no discernible pattern?
Analyzing the Data
Here are the paired values for easier reference:
- (3, 90)
- (1, 86)
- (5, 84)
- (4, 92)
- (3, 91)
- (5, 100)
- (0, 76)
- (1, 82)
- (2, 85)
Observations
- Looking at the trend of test scores as hours studied vary:
- As the hours studied increase from 0 to about 5, the test scores do not consistently rise or fall, indicating some fluctuation.
- It seems that there is some degree of positive correlation, particularly at the higher range of study hours (more hours studied tend to correlate with higher test scores in some cases).
Conclusion
Based on the analysis:
- C. Positive Association likely seems to be indicated due to the trend that as students study more (especially above 3 hours), their test scores tend to be higher, but there are exceptions that should be noted.
Therefore, the correct answer is C. Positive Association. However, since there is some irregularity, one could debate the strength of this association. If asked for precision, "undetermined association" (B) could also be valid when considering the variability in scores.
Final Decision
In most educational contexts, C. Positive Association would be considered the best answer.