Let's analyze the scatter plot and the statements in the image:

Scatter Plot Explanation:

• The scatter plot shows the relationship between the number of minutes spent studying (x-axis) and the number of mistakes made on a test (y-axis).
• As the minutes of studying increase, the number of mistakes made decreases, as represented by the downward slope of the fitted line.

Statements to Evaluate:

1. There is a negative association between the amount of time studying for a test and the number of mistakes made.

   • True: The plot shows a clear downward trend, indicating that as studying time increases, the number of mistakes decreases, which is a negative correlation.

2. Students who studied for a longer period of time tended to make more mistakes.

   • False: The scatter plot suggests the opposite; more study time results in fewer mistakes.

3. There is a linear association between time studying and number of mistakes.

   • True: The fitted line is straight, which suggests a linear relationship between study time and the number of mistakes.

Would you like further details on any part of this analysis?

Follow-up Questions:

1. What is the significance of a negative correlation in data?
2. How can you determine if an association is linear from a scatter plot?
3. What other types of associations (besides negative) might exist in scatter plots?
4. How could outliers affect the interpretation of the data?
5. What are some ways to measure the strength of a correlation?

Tip: In a scatter plot, a fitted line helps you quickly identify the trend (positive, negative, or no correlation) and whether the association is linear or non-linear.