Trend lines

Front

What is a trend line?

Back

A trend line is a straight line that represents the general direction of a dataset in a scatter plot, helping to visualize the relationship between variables.

Front

How do you determine the slope of a trend line?

Back

The slope of a trend line is calculated by taking the change in the y-values divided by the change in the x-values (rise over run).

Front

What does a positive trend line indicate?

Back

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

Front

What does a negative trend line indicate?

Back

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

Front

What is the purpose of using a trend line in data analysis?

Back

The purpose of using a trend line is to summarize the relationship between variables and make predictions based on the data.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for two variables for a set of data, using dots to represent the values.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to predict unknown values by extending the line and finding where it intersects with the value of interest.

Front

What is the difference between a linear and a non-linear relationship?

Back

A linear relationship can be represented by a straight line, while a non-linear relationship cannot be represented by a straight line and may curve.

Front

What does it mean if there is no correlation in a scatter plot?

Back

No correlation means that there is no discernible relationship between the two variables; the points are scattered randomly.

Front

What is the formula for a linear equation of a trend line?

Back

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