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Henrico County Public Schools, Virginia
 
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Module - Data Analysis
Lesson 4 - Best Fit Lines and Curves

Lessons

1-

Adding, Subtracting, and Scalar Multiplication of Matrices

2-

Measures of Central Tendency

3-

Box and Whisker Plots

4-

Best Fit Lines and Curves

5-

Deviation and Z-Scores

6-

Module Review

 

 
SOL

A.11 - The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using linear and quadratic models.

Common Core Standards
8.SP.3 F-LE.1a F-LE.2 S-ID.6a S-ID.6b S-ID.6c S-ID.7 S-ID.8
Warm-up
  1. ExamView Quiz: Box and Whisker Graphs
Lessons
  1. Notes: Finding Median Line of Best Fit (pdf)
  2. Activity: Project Graduation Line of Best Fit (doc) | (pdf)
  3. Notes: TI83 Best Fit Models (pdf) *New 2009 SOL Content*
  4. Notes: TI83 Curve Fitting with Residuals (pdf) *New 2009 SOL Content*
Videos
  1. Video: PH Making a Scatter Plot
  2. Video: PH Using Scatter Plots and Trend Lines to Make Predictions
  3. Video: PH Modeling Data Using a Linear, Quadratic, or Cubic Model *New 2009 SOL Content*
  4. Video: PH Writing an Equation for a Trend Line
  5. Video: PH Writing an Equation for a Line of Best Fit
Explore Learning
  1. Determining a Spring Constant: Place a pan on the end of a hanging spring. Measure how much the spring stretches when various masses are added to the pan. Create a graph of displacement vs. mass to determine the spring constant of the spring.
  2. Estimating Population Size: Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake.
Geogebra

 

Internet Sites
  1. Interactive: Linear Regression Applet - plot up to 50 points and predict the line of best fit
  2. Interactive Notes: Line of Best Fit - lessons and practice problems at Regentsprep.org
  3. Notes: Using the TI Calculator to Find the Quadratic Function *New 2009 SOL Content*
Tasks

 

Homework
  1. Casio Calculator Investigation (pdf)
  2. Line of Best Fit Worksheet (doc) | (pdf)
  3. Linear Equation Experiments (doc) | (pdf)
  4. Glencoe PWS (pdf)
  5. Glencoe SG (pdf)
Journal
  1. Correlation: What situations in your own life would present a negative correlation?
Study Guide
  1. ExamView Quiz: Line of Best Fit
  2. Prentice Hall Quiz: Data Analysis
  3. Prentice Hall Quiz: Line of Best Fit
Other
HCPS 2002-