Algebra 1 Unit 3 Vocabulary Flashcards

Two-Way Table

• Organizes data from two categorical variables
• Used to investigate associations between variables

Categorical Variable

• Takes on values that can be divided into distinct groups or categories
• Example: Colors like red, blue, green

Variable (Statistics)

• Represents a characteristic of individuals in a population
• Can assume different values

Relative Frequency Table

• A type of two-way table where cell values are divided by the total number of responses
• Can be calculated for the entire table, rows, or columns
• Useful for demonstrating relationships, such as textbook condition versus price

Association

• Indicates a statistical relationship between two variables
• If one variable's value can help estimate the other, an association is present

Residual

• Refers to the difference between the actual y-value and the predicted y-value from a linear model
• Visualized as dashed lines in scatter plot diagrams

Correlation Coefficient

• Ranges from -1 to 1, highlighting the strength and direction of a linear association
• A value close to 0 indicates a weak relationship, while values near 1 or -1 denote a stronger fit to the data

Strong Relationship

• Characterized by data closely clustered around the best fit line in statistical modeling
• Suggests a reliable prediction of one variable based on another

Positive Relationship

• Occurs when an increase in one variable results in an increase in another
• Indicates a direct correlation between the variables

Negative Relationship

• Happens when an increase in one variable corresponds to a decrease in the other
• Reflects an inverse correlation between the two variables

Weak Relationship

• The data is dispersed loosely around the best fit line
• Indicates less predictability and reliability in the correlation

Causal Relationship

• A specific type of relationship where a change in one variable directly causes a change in another variable
• Essential in establishing cause-and-effect scenarios in research.

Enhance your understanding of key vocabulary from Algebra 1, Unit 3 with these informative flashcards. Each card focuses on fundamental concepts like Two-Way Tables and Categorical Variables, essential for understanding data organization in algebra. Test yourself and solidify your grasp of these important terms!