Question

Diagram two observed variables $X 1$ and $X 2$ that predict a third observed variable $Y$. X1, and X2 are correlated.

   Diagram two observed variables $X 1$ and $X 2$ that predict a third observed variable $Y$. X1, and X2 are correlated.
A Beginner's Guide to Structural Equation Modeling
A Beginner's Guide to Structural Equation Modeling
Randall E.… 3rd Edition
Chapter 9, Problem 2 ↓

Instant Answer

verified

Step 1

In this case, we have two observed variables, \(X_1\) and \(X_2\), which will be represented as circles or ovals in the diagram.  Show more…

Show all steps

lock
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Diagram two observed variables $X 1$ and $X 2$ that predict a third observed variable $Y$. X1, and X2 are correlated.
Close icon
Play audio
Feedback
Powered by NumerAI
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Path Diagram
A path diagram is a visual representation of the hypothesized relationships among variables in a model. It uses arrows to denote the direction of causation or prediction and includes symbols to represent different types of variables, such as observed and latent variables, as well as lines to indicate correlations between predictor variables.
Observed Variables
Observed variables are those that are directly measured or recorded in a study. They represent tangible, real-world data values that are used to analyze relationships between factors, as opposed to latent variables which are inferred from observed measures.
Predictor Variables
Predictor variables, often called independent variables, are those that are hypothesized to influence or predict changes in another variable. In diagrammatic models, they are typically represented with arrows pointing from them to the outcome variable, indicating their predictive role.
Outcome Variable
The outcome variable, sometimes referred to as the dependent variable, is the variable that is influenced or predicted by one or more predictor variables. It represents the effect or response that researchers are primarily interested in understanding.
Correlation
Correlation refers to the statistical relationship between two variables, indicating the degree to which they change together. In the context of diagramming, a correlation between two observed variables is often shown with a bidirectional arrow, suggesting that the variables are related but not necessarily that one causes the other.

*

Recommended Videos

-
suppose-that-the-correlation-between-two-variables-x-and-y-is-due-to-the-fact-that-both-are-responding-to-changes-in-some-unobserved-third-variable-we-would-say-this-is-11853

suppowe-that-y-w-related-to-two-predictor-variables-and-using-oneof-twomodels-model1e5x3x-modefe-3x-1x-floxbmityadded-to-the-rst-ordemodeyhy-the-addition-ot-the-tormning-the-modelypo-cthe-ad-75884

Suppose that E(y) is related to two predictor variables x1 and x2 using one of two models. Model 1: E(y) = 5 + x1 - 3x2 + x1x2. Model 2: E(y) = 5 + x1 - 3x2. The addition of the extra term allows for x1 and x2 to both be quantitative variables. The addition of the extra term allows for x1 and x2 to be dummy variables. The addition of the extra term allows for a possible interaction between x1 and x2.

Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever