EDUR 8132
Educational Statistics II

Notes 8a: Simple Regression (taken from EDUR 8131)

(1) Summary Presentation

• Presentation 1
  • Readings: Agresti and Finlay 4th and 3rd edition: Chapter 9
  • Document: Simple Regression Word
  • Document: Simple Regression PDF
  • Video: Simple Regression (58 minutes)
  • JASP supplemental video: One Predictor (i.e. Simple Regression) and Multiple Predictors (i.e., Multiple Regression; Summary Presentation Notes 8a and 8b)
• Presentation 2
  • Readings: Agresti and Finlay 4th and 3rd edition: Chapter 9.4 particularly subsections Proportion Reduction in Predicton Error and Properties of Coefficient of Determination, and 11.3
  • Model Fit: R², SEE and MSE, and Adjusted R² 
  • Video: may be added
• Regression Coefficient Interpretation (provides additional examples of regression coefficient interpretation) 

(2) Reporting statistical results in APA style (Word Documents so you can copy and paste tables)

•   Simple Regression 

(3) Exercises - use data and exercises within Detailed Presentation notes below

(4) Detailed Presentation - use the material below if the summary presentation was not sufficient

• Read: Notes 8a Simple Regression
• Critical F Ratio Table: Critical F-ratio
• Critical t values Table:: Critical t
• Watch and Read: Instructional Videos and Related Materials
  • Supplemental notes shown in video: Supplemental Notes 8a   
  • *Sections 1 and 2: Regression Model and Figure 1  
  • *Section 2: Figure 2  
  • *Section 2: Figure 3   
  • *Section 3: Least Squares and Residuals   
  • *Section 4: Literal Interpretation of Coefficients
  • *Section 4: Example 1 Barometric Pressure and Water Boiling Point
    • Data File in SPSS Format: Barometric Pressure and Boiling Point of Water (Google Drive file access: https://drive.google.com/file/d/1GazIt0DmC0j6LhIlYraN79OBGwHn0AHO/view?usp=drive_link )   
  • Section 4: Example 2 Irrigation and Cotton Yield 
    • Data File in SPSS Format: Irrigation and Cotton Yield (Google Drive file access: https://drive.google.com/file/d/1MUOo_G9jjrC1qqaHLJH31J7VhzwA59f0/view?usp=drive_link )  
  • Section 4: Example 3 Car Weight and Mile Per Gallon (MPG)  
    • Data File in SPSS Format: Car Weight and MPG (Google Drive file access: https://drive.google.com/file/d/1o3vnV7QRu0PACu9K4OZmKILIhgMfhl3Z/view?usp=drive_link )
  • Section 5: Model Fit
  • Section 6: Inference in Regression - Overall Model Fit (Part 1, Overall Model Fit on page 10 through Calculated and Critical F Ratio on page 11) 
  • Section 6: Inference in Regression - Overall Model Fit (Part 2, starts with Exercises on page 11 and ends at Coefficient Inference on page 12) 
  • Section 6: Inference in Regression - Coefficient Inference  
  • Section 6: Inference in Regression - Confidence Intervals for Coefficients  
  • Section 7: APA Style for Student Grades and Instructional Ratings