Question 1: Using the data points (2, 3), (4, 5), and (6, 7), draw a line that best fits these points on the grid. Explain your reasoning.

Answer: Students will draw a line and provide a brief explanation about the trend.

Question 2: Plot the graph of y=2x for x-values 1 to 5. Draw the line accurately on the grid.

Answer: Line passing through (1,2), (2,4), (3,6), (4,8), (5,10).

Question 3: Construct a triangle with vertices at (1,1), (4,1), and (2,4). Draw on the grid.

Answer: Students will draw the triangle with correct vertices.

Question 4: Given data points (1,2), (3,4), (5,6), draw the line of best fit approximately. Comment on the pattern observed.

Answer: Students will sketch a line roughly through the central tendency and describe the positive trend.

Question 5: Identify and correct the error in drawing a line that passes through (2,3), (4,7), and (6,9), but is incorrectly sloped.

Answer: Correct the slope direction to match the data trend.

Question 6: Draw a line of best fit through the data points: (1,2), (2,4), (3,6), (4,8). Is the line increasing or decreasing? Explain.

Answer: Line is increasing; explanation involves trend analysis.

Question 7: Plot the points (2,5), (3,7), (5,11), and draw an approximate line of best fit.

Answer: Line roughly passing through the central points, showing positive correlation.

Question 8: Construct a line that fits the data points: (1,1), (3,3), (5,5). Describe the slope and intercept.

Answer: Line with slope 1 and y-intercept 0.

Question 9: A dataset shows points (1,4), (2,5), (3,6). Draw the line of best fit and justify your drawing.

Answer: Line with slope 1 and passing through the points, illustrating linear trend.

Question 10: Identify a common mistake when students draw a line that does not seem to follow the data trend and suggest how to fix it.

Answer: Mistake: drawing a line that is too steep or too flat. Fix: align the line more centrally through data points.

Question 11: Given the points (1,3), (2,5), (3,7), draw the line of best fit avoiding common errors.

Answer: Line with slope 2 passing through (1,3), approximately through other points.

Question 12: Challenge: Draw the line of best fit for the data points (1,2), (2,3), (3,5), (4,4), (5,6). Describe how you decided on the line.

Answer: Students will draw a line that best captures the overall trend, explaining their judgment based on data distribution.