Question 1: Calculate the approximate value of y when x=5, given the positive linear relationship y=2x+3.

Answer: 13

Question 2: Plot the graph of y=2x for x values from 0 to 6 on the grid provided.

Answer: Students plot the points (0,0), (1,2), (2,4), (3,6), (4,8), (5,10), (6,12).

Question 3: Identify whether the data points show a positive correlation.

Answer: Yes

Question 4: Construct a scatter graph showing the relationship between hours studied and exam scores, where data suggests a positive trend.

Answer: Student constructs a scatter graph with an upward trend, plotting data points accordingly.

Question 5: Given the data points (1,2), (2,4), (3,6), (4,8), what is the correlation? Explain briefly.

Answer: Strong positive correlation; data points lie approximately on a line with positive slope.

Question 6: A study shows that as temperature increases, ice cream sales tend to increase. Describe what this indicates about their relationship.

Answer: There is a positive correlation between temperature and ice cream sales.

Question 7: If a scatter graph shows all points rising from left to right, what can be said about the correlation?

Answer: It indicates a positive correlation.

Question 8: A dataset of hours exercised and weight loss shows a positive trend. What does this suggest about the relationship?

Answer: More hours exercised is associated with greater weight loss, indicating a positive correlation.

Question 9: Plot the points (1,3), (2,6), (3,9), (4,12). What is the trend shown?

Answer: The points show a positive linear trend.

Question 10: Identify a common mistake when interpreting a scatter graph showing positive correlation and explain how to correct it.

Answer: Mistake: Assuming causation from correlation. Correction: Clarify that correlation does not imply causation.

Question 11: A student draws a scatter graph with points mostly rising from left to right, but some points are scattered. Is this still positive correlation? Why?

Answer: Yes, if most points trend upward, indicating positive correlation despite some scatter.

Question 12: Challenge: Given a set of data with a positive trend but some outliers, how does this affect the correlation? How should the outliers be handled?

Answer: Outliers can weaken the apparent correlation; consider analyzing with and without outliers to see their effect.