Linear Relationships and Correlations

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.

Front

What does a positive slope indicate in a linear relationship?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What is an outlier in a scatterplot?

Back

An outlier is a data point that lies far away from the other points in a scatterplot, indicating a deviation from the overall trend.

Front

What is the formula for a linear regression equation?

Back

The formula for a linear regression equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is zero, indicating where the line crosses the y-axis.

Front

How can you determine the slope of a line from a graph?

Back

The slope of a line can be determined by calculating the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What is a perfect positive linear relationship?

Back

A perfect positive linear relationship occurs when all points lie exactly on a straight line with a positive slope.

Front

What does a negative slope indicate in a linear relationship?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables are related to each other.