Introduction to Statistical Analysis/Unit 6 Content

Unit 6

This content is adapted from the Introduction to Statistics MA121/ECON104 Course at Saylor.org.

Subunit 6.1: Linear Regression

Linear Equations, Slope, and Y-intercept

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 12: Linear Regression and Correlation”

• “Section 1: Linear Regression and Correlation”
• “Section 2: Linear Equations”
• “Section 3: Slope and Y-Intercept of a Linear Equation”

Instructions: Please read each of the linked sections above in their entirety.

Terms of Use: Please respect the copyright and terms of use displayed on the webpages.

Scatter Plots

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 12: Linear Regression and Correlation"

• "Section 4: Scatter Plots”

Instructions: Please read the entire webpage in its entirety.

Terms of Use: Please respect the copyright and terms of use displayed on the webpages.

The Regression Equation

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 12: Linear Regression and Correlation"

• "Section 5: The Regression Equation”

Instructions: Please read the entire webpage in its entirety.

• Lecture: Khan Academy’s Statistics

• “Covariance and the Regression Line”

Instructions: Please view the video lecture in its entirety (approximately 15 minutes). This lecture will discuss covariance, variance, and the slope of the regression.

Terms of Use: Please respect the copyright and terms of use displayed on the webpage displayed above.

Subunit 6.2: Correlation

The Correlation Coefficient

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 12: Linear Regression and Correlation"

• "Section 6: The Correlation Coefficient”

Instructions: Please read the entire webpage in its entirety.

• Lecture: Khan Academy’s Statistics

• “Correlation and Causality”

Instructions: Please view the entire video lecture (10:25 minutes). This lecture will discuss correlation and causality.

Terms of Use: Please respect the copyright and terms of use displayed on the webpage displayed above.

Prediction

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 12: Linear Regression and Correlation"

• "Section 8: Prediction”

Instructions: Please read the entire webpage in its entirety.

Terms of Use: Please respect the copyright and terms of use displayed on the webpages.

Outliers

Video Lecture 12: Linear Regression and Correlation

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 12: Linear Regression and Correlation"

• "Section 9: Outliers”

Instructions: Please read the entire webpage in its entirety.

Lecture: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Video Lecture 12: Linear Regression and Correlation”

Instructions: Please view the lecture to the right in its entirety.

• Assignment: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 12: Linear Regression and Correlation”

• “Practice: Linear Regression”

Instructions: Click on the hyperlinks titled “Practice: Linear Regression” and solve the problems. Next, click on the hyperlink titled “Homework” and solve problems 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21-25. The solutions are provided below the problem. Please solve all of the problems before checking the solutions.

Terms of Use: Please respect the copyright and terms of use displayed on the webpages.

Subunit 6.3 F Distribution and ANOVA

ANOVA

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 13: F Distribution and ANOVA”

• “Section 1: F Distribution and ANOVA”
• “Section 2: ANOVA”

Instructions: Please read each of the linked sections in their entirety.

Terms of Use: Please respect the copyright and terms of use displayed on the webpages.

The F Distribution and the F Ratio

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 13: F Distribution and ANOVA”

• “Section 3: The F Distribution and the F Ratio”
• “Section 4: Facts About the F Distribution”

Instructions: Please read each of the linked sections above in their entirety.

• Lecture: Khan Academy’s Statistics

• “ANOVA 1 - Calculating SST (Total Sum of Squares)”
• “ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares within and between)”
• “ANOVA 3 -Hypothesis Test with F-Statistic”

Instructions: Please view the three lectures, which discuss ANOVA, in their entirety (approximately 30 minutes total).

Terms of Use: Please respect the copyright and terms of use displayed on the webpages displayed above.

The F Distribution and the F Ratio

• Readings: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 13: F Distribution and ANOVA"

• "Section 5: Test of Two Variances”

Instructions: Please read the entire section.

• Assignment: Barbara Illowsky and Susan Dean’s Collaborative Statistics: “Chapter 13: F Distribution and ANOVA”

• “Practice: ANOVA”

Instructions: Click on the hyperlinks titled “Practice: ANOVA” and solve the problems. Next, click on the hyperlink titled “Homework” and solve problems 1, 3, 5, 7. The solutions are provided below the problem. Please solve all of the problems before checking the solutions.

Terms of Use: Please respect the copyright and terms of use displayed on the webpages.

About the Resources in This Course

This course project draws upon three main types of resources:

The first are readings and video lectures from Barbara Illowsky and Susan Dean’s Collaborative Statistics, which is available freely under a Creative Commons Attribution 2.0 Generic (CC BY 2.0) license from the following location: http://cnx.org/content/col10522/latest/

The second type of resources in this course are lectures from Kahn Academy. These lectures are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported (CC BY-NC-SA 3.0) license. Kahn Academy has many lectures available from http://www.khanacademy.org/

Finally, the above resources have been woven together and organized into a format analogous to a traditional college-level course by professional consultants that work as experts within the subject area. This process was facilitated by The Saylor Foundation. Additionally, if you have worked through all of the material contained in this project, you may be interested in taking the final exam provided by Saylor.org or completing other courses available there that are not yet on Wikiversity.