About This Chapter
Correlation & Regression in Statistics - Chapter Summary and Learning Objectives
Use the fun and flexible videos in this chapter to learn about simple linear regression, the correlation coefficient and scatterplots. These videos break down large concepts into easy-to-understand chunks that can be viewed in about 5-6 minutes. Each lesson is taught by a subject expert who utilizes animations, illustrations and examples to bring correlation and regression topics to life. By watching these videos, you'll be able to:
- Interpret scatterplots and linear relationships
- Find the coefficient of determination
- Analyze residuals
- Interpret slope of a linear model
- Transform nonlinear data
|Creating & Interpreting Scatterplots: Process & Examples||Outline the steps used to create scatterplots and learn to interpret them.|
|Simple Linear Regression: Definition, Formula & Examples||Understand the formula used in simple linear regression.|
|Problem Solving Using Linear Regression: Steps, Examples & Quiz||Practice solving problems by using linear regression.|
|Analyzing Residuals: Process, Examples & Quiz||Study methods for finding violations of regression assumptions using residual analysis.|
|Interpreting the Slope & Intercept of a Linear Model: Lesson & Quiz||Discover how to predict statistical info by interpreting slope and intercept.|
|The Correlation Coefficient: Definition, Formula & Example||Learn to use a formula to find the correlation coefficient.|
|How to Interpret Correlations in Research Results||Evaluate the purpose of correlations and learn how to interpret correlations that are a part of research results.|
|Correlation vs. Causation: Differences, Lesson & Quiz||Determine ways to identify correlations and causations and find out how they differ.|
|Interpreting Linear Relationships Using Data: Practice Problems, Lesson & Quiz||Practice interpreting linear relationships with examples and sample problems.|
|Transforming Nonlinear Data: Steps, Examples & Quiz||Recognize the steps used to transform nonlinear data to allow for the use of linear models.|
|Coefficient of Determination: Definition, Formula & Example||Review ways to find the coefficient of determination and describe its relationship with variation.|
1. Creating & Interpreting Scatterplots: Process & Examples
Scatterplots are a great visual representation of two sets of data. In this lesson, you will learn how to interpret bivariate data to create scatterplots and understand the relationship between the two variables.
2. Simple Linear Regression: Definition, Formula & Examples
Simple linear regression is a great way to make observations and interpret data. In this lesson, you will learn to find the regression line of a set of data using a ruler and a graphing calculator.
3. Problem Solving Using Linear Regression: Steps & Examples
Linear regression can be a powerful tool for predicting and interpreting information. Learn to use two common formulas for linear regression in this lesson.
4. Analyzing Residuals: Process & Examples
Can you tell what's normal or independent, and what's not? Sometimes we need to figure this out in the world of statistics. This lesson shows you how as it explains residuals and regression assumptions in the context of linear regression analysis.
5. Interpreting the Slope & Intercept of a Linear Model
You've probably seen slope and intercept in algebra. These concepts can also be used to predict and understand information in statistics. Take a look at this lesson!
6. The Correlation Coefficient: Definition, Formula & Example
The correlation coefficient is an equation that is used to determine the strength of the relationship between two variables. This lesson helps you understand it by breaking the equation down.
7. How to Interpret Correlations in Research Results
Perhaps the most common statistic you'll see from psychology is a correlation. Do you know how to correctly interpret correlations when you see them? This lesson covers everything you need to know.
8. Correlation vs. Causation: Differences & Definition
When conducting experiments and analyzing data, many people often confuse the concepts of correlation and causation. In this lesson, you will learn the differences between the two and how to identify one over the other.
9. Interpreting Linear Relationships Using Data: Practice Problems
Understanding linear relationships is an important part of understanding statistics. This lesson will help you review linear relationships and will go through three practice problems to help you retain your knowledge. When you are finished, test out your knowledge with a short quiz!
10. Transforming Nonlinear Data: Steps & Examples
Sometimes we have data sets that we need to analyze and interpret, but it's difficult because the data is nonlinear. This lesson will teach you how to transform nonlinear data sets into more linear graphs.
11. Coefficient of Determination: Definition, Formula & Example
The coefficient of determination is an important quantity obtained from regression analysis. In this lesson, we will show how this quantity is derived from linear regression analysis, and subsequently demonstrate how to compute it in an example.
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Other chapters within the DSST Principles of Statistics: Study Guide & Test Prep course
- Data Types & Measurements in Statistics
- Sampling Methods in Statistics
- Descriptive Statistics of Data Sets
- Visual Representations in Statistics
- Probability: Rules for Events
- Probability Combinations, Permutations & Expected Values
- Probability: Discrete & Continuous Distributions
- Sampling Distributions in Statistics
- Hypothesis Testing in Inferential Statistics