Line of Best Fit Worksheet
Grade 10 Math worksheet covering scatter plots, correlation, and finding the line of best fit using various methods.
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Line of Best Fit
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Read each question carefully and provide your answers in the space provided. Show all your work for calculations.
Understanding Scatter Plots and Correlation
1. Which of the following describes a strong positive correlation?
Points are randomly scattered with no clear pattern.
Points form a clear upward trend, close to a straight line.
Points form a clear downward trend, close to a straight line.
Points are clustered but do not show a linear relationship.
2. A scatter plot is a graph that displays the relationship between two sets of .
3. When the data points on a scatter plot tend to move from the upper left to the lower right, it indicates a correlation.
4. Describe a real-world scenario that would likely show a negative correlation between two variables.
Drawing a Line of Best Fit
5. On the scatter plot above, draw a line of best fit by eye. Explain why you drew the line in that position.
Calculating the Line of Best Fit
6. A researcher collected data on the number of hours students spent studying for a test and their scores. The data is shown below:
Hours Studied (x): 2, 3, 4, 5, 6
Test Score (y): 60, 65, 70, 75, 80
Calculate the equation of the line of best fit (y = mx + b) using the least squares method. Show all your calculations.
7. Using the equation from Question 6, predict the test score of a student who studied for 7 hours.
8. Extrapolating predictions too far beyond the given data range is generally reliable.
True
False
9. What is the difference between interpolation and extrapolation?