Algebra 1: Scatterplots and Linear Correlation

Questions and Answers

What is the definition of positive correlation?

Overall the set of points decreases from left to right

No correlation exists

A relationship with no cause and effect

Overall the set of points increases from left to right with a linear trend (correct)

What does negative correlation indicate?

Overall the set of points increases from left to right

A relationship in which one of the variables caused the other

A smooth line reflecting the general pattern in a graph

Overall the set of points decreases from left to right with a linear trend (correct)

No correlation means that the set of points is evenly distributed with no linear trend.

True

What is a trend line?

A line on a scatter plot that helps show the correlation between data sets more clearly. Signup and view all the answers

What is the line of best fit?

A smooth line that reflects the general pattern in a graph. Signup and view all the answers

What does the correlation coefficient tell you?

How strong or weak your line of best fit is compared to your data. Signup and view all the answers

What is causation?

A relationship in which one of the variables caused the other to happen. Signup and view all the answers

What does association refer to in statistics?

A relationship with no cause and effect but there is some association between the two variables. Signup and view all the answers

Study Notes

Scatterplots and Linear Correlation

Positive Correlation: As one variable increases, the other variable also tends to increase, forming an upward trend from left to right on a scatter plot.
Negative Correlation: Indicates that as one variable increases, the other variable tends to decrease, resulting in a downward trend from left to right on a scatter plot.
No Correlation: The points on the scatter plot are randomly distributed with no discernible pattern, indicating that a linear function is not suitable for modeling the relationship between the variables.
Trend Line: A graphic tool added to scatter plots to illustrate the direction of the correlation between two datasets, helping to visualize the relationship.
Line of Best Fit: This is a smoothed line that closely follows the general trend of the data points in a graph, providing a clear representation of the data's overall pattern.
Correlation Coefficient: A statistical measure that quantifies the strength and direction of a relationship between two variables. A higher absolute value indicates a stronger correlation.
Causation: Refers to a scenario where changes in one variable directly result in changes in another variable, establishing a cause-and-effect relationship.
Association: A term used to describe a relationship between two variables where changes in one do not directly cause changes in the other but show some form of connection.

Description

Explore the concepts of correlation in this quiz, focusing on positive, negative, and no correlation. Each flashcard provides key definitions and trends found within scatterplots, making it easier to understand linear relationships. Ideal for students reviewing algebraic concepts in preparation for exams.