An elementary school is looking into whether there is a relationship between if a student attended pre-school and the number of words a student has in their vocabulary when they enter kindergarten. This is an example of which type of two-variable relationship?

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**Understanding Two-Variable Relationships in Educational Research**

**Problem Statement:**
An elementary school is investigating if there is a relationship between whether a student attended preschool and the number of words a student has in their vocabulary when they enter kindergarten. The school seeks to identify the type of two-variable relationship exemplified in this scenario.

**Question:**
Which type of two-variable relationship is illustrated by this example?

**Answer Choices:**
a) \( C \rightarrow C \)

b) \( C \rightarrow Q \)

c) \( Q \rightarrow C \)

d) \( Q \rightarrow Q \)

**Explanation of Variables:**

- \( C \): Categorical Variable
- \( Q \): Quantitative Variable

In this context:
- Whether a student attended preschool (Yes/No) is a categorical variable.
- The number of words in a student’s vocabulary is a quantitative variable.

This scenario seeks to explore the relationship between a categorical variable (preschool attendance) and a quantitative variable (vocabulary size). 

Educators and researchers must understand how to classify variables to accurately analyze data and interpret results. Correctly identifying and analyzing variable types can help uncover significant insights into student development and educational outcomes.
Transcribed Image Text:**Understanding Two-Variable Relationships in Educational Research** **Problem Statement:** An elementary school is investigating if there is a relationship between whether a student attended preschool and the number of words a student has in their vocabulary when they enter kindergarten. The school seeks to identify the type of two-variable relationship exemplified in this scenario. **Question:** Which type of two-variable relationship is illustrated by this example? **Answer Choices:** a) \( C \rightarrow C \) b) \( C \rightarrow Q \) c) \( Q \rightarrow C \) d) \( Q \rightarrow Q \) **Explanation of Variables:** - \( C \): Categorical Variable - \( Q \): Quantitative Variable In this context: - Whether a student attended preschool (Yes/No) is a categorical variable. - The number of words in a student’s vocabulary is a quantitative variable. This scenario seeks to explore the relationship between a categorical variable (preschool attendance) and a quantitative variable (vocabulary size). Educators and researchers must understand how to classify variables to accurately analyze data and interpret results. Correctly identifying and analyzing variable types can help uncover significant insights into student development and educational outcomes.
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