Line of Best Fit Worksheet

Grade 12 Math worksheet on understanding, calculating, and interpreting the line of best fit for scatter plots.

Grade 12 Math Probability and StatisticsLine of Best Fit

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSS.ID.B.6CCSS.MATH.CONTENT.HSS.ID.B.6aCCSS.MATH.CONTENT.HSS.ID.B.6b

Topics

line of best fitscatter plotregressionstatisticsgrade 12

8 sections · Free to use · Printable

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Line of Best Fit

Name:

Date:

Score:

Read each question carefully and provide clear, concise answers. Show all your work where applicable.

1. Explain in your own words what a 'line of best fit' represents in a scatter plot. What is its purpose?

2. Which of the following correlation coefficients indicates the strongest linear relationship?

0.25

-0.92

0.78

-0.15

3. In the equation of a line of best fit, y = mx + b, the 'm' represents the , which describes the of the dependent variable for each unit increase in the independent variable. The 'b' represents the , which is the predicted value of the dependent variable when the independent variable is .

4. Plot the following data points on the graph below and sketch a line of best fit by eye. Then, use your sketched line to estimate the equation.

Data: (1, 3), (2, 5), (3, 6), (4, 8), (5, 9)

Estimated Equation: y =

5. Distinguish between interpolation and extrapolation when using a line of best fit for predictions. Discuss the reliability of predictions made using each method.

6. The line of best fit always passes through at least one of the data points.

True

False