Question 1: Plot the data points: (2, 4), (4, 8), (6, 12), (8, 16). Draw the line of best fit and estimate the value of y when x = 10.

Answer: 20

Question 2: Given the data points (1, 3), (3, 7), (5, 11), find the equation of the line of best fit.

Answer: y=2x+1

Question 3: Using the line y=2x+1, predict y when x=7.

Answer: 15

Question 4: A scatter plot shows the relationship between hours studied and scores on a test. The line of best fit suggests that for every additional hour studied, the test score increases by 4 points. If a student studies for 5 hours, what is the predicted score?

Answer: 20

Question 5: The data points (2, 5), (4, 9), (6, 13), (8, 17) are plotted. Which of the following best describes the line of best fit?

Answer: A line with a slope of 2 and y-intercept of 1

Question 6: Construct a line of best fit for the data points (1, 2), (3, 6), (5, 10), (7, 14). What is the predicted value when x=9?

Answer: 18

Question 7: A student draws a line of best fit through a scatter plot. The line has a positive slope but appears to be too steep. What common mistake might they have made?

Answer: They may have overestimated the slope or included outliers that skewed the line.

Question 8: Given the data points (0, 1), (2, 5), (4, 9), (6, 13), find the line of best fit and predict y when x=8.

Answer: y=2x+1; y=17

Question 9: A line of best fit is calculated as y=3x-2. What is the estimated value of y when x=10? Explain your reasoning.

Answer: y=28 because substitute x=10 into y=3x-2, so y=3(10)-2=30-2=28.

Question 10: A data set shows a clear positive correlation. However, the line of best fit predicts a negative y-value at x=0. What could be the reason?

Answer: The line may have been incorrectly calculated or the data does not fit a linear model.

Question 11: Identify and correct the mistake in this line of best fit: y= -2x + 10, given the data points suggest a positive trend.

Answer: The slope should be positive, so the line should have a positive coefficient for x.