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Regression Equations

Regression Equations. A guide for analyzing data MTH 240 – Community College Statistics Students. Table of Contents. Learning Objectives Linear Equations Review Equation of the Line Different Forms of Linear Equations Slope Correlation Scatter Plots. Regression Equations

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Regression Equations

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  1. Regression Equations A guide for analyzing data MTH 240 – Community College Statistics Students

  2. Table of Contents • Learning Objectives • Linear Equations Review • Equation of the Line • Different Forms of Linear Equations • Slope • Correlation • Scatter Plots • Regression Equations • Finding the Line of Best Fit • Excel Video Example • Example: The Unsupervised Student • Scatter Plot • Regression Equation • References Sarah DiCalogero - Regression Equations

  3. Learning Objectives • Review Basic Linear Equations • Forms of Linear Equations • Slope • Correlation • Create Scatter Plots in Excel • Determine Regression Equations in Excel Sarah DiCalogero - Regression Equations

  4. Review: Equation of the Line • Basic Linear Equation: Sarah DiCalogero - Regression Equations

  5. Review: Different Forms of Linear Equations • Regression Line • “Line of Best Fit” • Different formulas convey same information: ^ ^ Sarah DiCalogero - Regression Equations

  6. Review: Slope Positive Slope Negative Slope Hawkes and Marsh (2004) Hawkes and Marsh (2004) Sarah DiCalogero - Regression Equations

  7. Review: Correlation • Relationship between two variables Strong Linear Correlation Hawkes and Marsh (2004) No Linear Correlation Hawkes and Marsh (2004) Weak Linear Correlation Hawkes and Marsh (2004) Sarah DiCalogero - Regression Equations

  8. Scatter Plots • Graphs of Points • x – independent/explanatory variable • y – dependent/response variable • Example: Sarah DiCalogero - Regression Equations

  9. Finding the "Line of Best Fit" Sarah DiCalogero - Regression Equations

  10. Finding the "Line of Best Fit" • Regression Equation • Positive Slope • Y-intercept value < 0 • Correlation Y = 0.2299x – 1.7356 Sarah DiCalogero - Regression Equations

  11. Finding the "Line of Best Fit": Excel Video Example Click on the image to link to the video YouTube (2009) Sarah DiCalogero - Regression Equations

  12. Example: The Unsupervised Student Question: Does the number of hours a high school student spends unsupervised impact their overall grade average? Sarah DiCalogero - Regression Equations

  13. Example: Scatter Plot Sarah DiCalogero - Regression Equations

  14. Example: Regression Equation Sarah DiCalogero - Regression Equations

  15. References • Hawkes, J., & Marsh, W. (2004). Discovering Statistics (2nd ed.). Charleston, SC: Hawkes Publishing Inc.. • YouTube. (2009). Plotting A Scatter Plot w/ Trendline in Excel. Retrieved from http://www.youtube.com/watch?v=nnM-7Q6gmUA Sarah DiCalogero - Regression Equations

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