Question 1: Plot the points (2, -3), (4, -6), and (6, -9) on the grid. What is the overall trend of the data?

Answer: Negative trend (decreasing trend)

Question 2: Calculate the correlation coefficient for the points: (1, -2), (3, -4), (5, -6).

Answer: -1

Question 3: Construct a scatter graph for the data: (2, -3), (4, -7), (6, -11). Describe the correlation.

Answer: Strong negative correlation

Question 4: A dataset shows that as the temperature increases, the ice cream sales decrease. Is this an example of negative correlation? Explain.

Answer: Yes, because as temperature increases, ice cream sales decrease, indicating a negative correlation.

Question 5: Determine whether the following points show a negative correlation: (1, -1), (2, -2), (3, -3), (4, -2).

Answer: Yes, except the last point, but overall trend is negative.

Question 6: Identify the mistake: A student plots points (2, 5), (4, 3), (6, 1) and concludes there is a positive correlation.

Answer: The points actually show a negative correlation; student misinterpreted the trend.

Question 7: Given the data points (1, -4), (3, -8), (5, -12), draw the scatter graph and verify the trend.

Answer: The points form a straight line with a negative slope, confirming negative correlation.

Question 8: A study shows that the more hours students spend on social media, the lower their exam scores. What kind of correlation is this, and what might it imply?

Answer: Negative correlation; it may imply that increased social media use is associated with lower exam scores.

Question 9: Challenge: Plot the points (3, -2), (5, -5), (7, -8), (9, -11). What is the equation of the best-fit line?

Answer: y = -1.5x + 2.5

Question 10: Extension: A dataset has points (2, -4), (4, -8), (6, -12), (8, -16). Calculate the correlation coefficient and interpret.

Answer: -1, indicating a perfect negative linear relationship

Question 11: Identify three common errors students make when interpreting negative scatter graphs and explain how to avoid them.

Answer: Mistaking a weak negative trend for no correlation; ignoring outliers that affect the trend; misreading the slope direction. To avoid, carefully analyze the overall pattern and check the slope.