Question 1: Plot the points (1, 2), (2, 4), (3, 6), and (4, 8) on the grid. Describe the correlation.

Answer: Positive correlation

Question 2: Calculate the approximate gradient of the line passing through (1, 2) and (4, 8).

Answer: 2

Question 3: If the data points show a strong positive correlation, what can you say about the trend?

Answer: As one variable increases, the other also increases.

Question 4: Plot the graph of y = 3x for x = 0, 1, 2, 3. Describe the correlation.

Answer: Positive correlation

Question 5: A dataset shows that as the number of hours studied increases, test scores tend to increase. What type of correlation is this?

Answer: Positive correlation

Question 6: Construct a scatter plot with points (2, 3), (4, 6), (6, 9), and (8, 12). What does this indicate about the data?

Answer: Strong positive correlation

Question 7: A survey shows that taller students tend to score higher on tests. Explain why this might result in a positive correlation.

Answer: Because taller students may have better development or confidence, leading to higher scores, or it could be coincidental. The data suggests a positive relationship between height and test scores.

Question 8: Given the points (1, 1), (2, 2), (3, 3), (4, 4), identify the type of correlation.

Answer: Positive and perfectly linear

Question 9: Determine the strength of the correlation if the data points are closely clustered along an upward-sloping line.

Answer: Strong positive correlation

Question 10: Identify and correct the mistake: The data points (1, 5), (2, 3), (3, 1) show a positive trend.

Answer: These points show a negative trend, not positive. Corrected points could be (1, 1), (2, 2), (3, 3).