Algebra 1 Unit 3 Vocabulary Flashcards

Questions and Answers

What is a Two-Way Table?

A way of organizing data from one categorical variable

A way of organizing data from two categorical variables (correct)

A type of graph to show relationships

A table that displays numerical data in two dimensions

A categorical variable can take on numerical values.

False

What is a characteristic of individuals in a population called?

Variable

What is a Relative Frequency Table?

A table in which the value in each cell is divided by the total number of responses Signup and view all the answers

What is an Association in statistics?

A relationship between two variables Signup and view all the answers

What does the term Residual refer to?

The difference between the actual y-value and the predicted value Signup and view all the answers

What is the range of the Correlation Coefficient?

-1 to 1 Signup and view all the answers

A strong relationship means that the data is loosely spread around the best fit line.

False Signup and view all the answers

What indicates a Positive Relationship?

An increase in one variable is paired with an increase in the other Signup and view all the answers

What indicates a Negative Relationship?

An increase in one variable is paired with a decrease in the other Signup and view all the answers

A weak relationship means that the data is tightly clustered around the best fit line.

False Signup and view all the answers

What is a Causal Relationship?

A change in one variable causes a change in the other Signup and view all the answers

Study Notes

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.

Description

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!