Making Predictions From Trendlines

Front

What is a positive linear association?

Back

A positive linear association occurs when two variables increase together, meaning that as one variable increases, the other variable also tends to increase.

Front

What does a scatterplot represent?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables, with each point representing an observation.

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatterplot, showing the general direction of the data points.

Front

What does it mean if there is no relationship between two variables?

Back

If there is no relationship between two variables, changes in one variable do not affect the other variable, and the scatterplot will show a random pattern.

Front

How can you make predictions using a trendline?

Back

You can make predictions by extending the trendline into the future or using it to estimate values for one variable based on known values of another variable.

Front

What is a non-linear association?

Back

A non-linear association occurs when the relationship between two variables cannot be accurately represented by a straight line, often showing a curve.

Front

What is the purpose of analyzing trendlines in data?

Back

Analyzing trendlines helps to identify patterns, relationships, and potential predictions based on the data.

Front

What is the significance of the slope in a linear relationship?

Back

The slope indicates the rate of change between the two variables; a positive slope means both variables increase together, while a negative slope means one variable increases as the other decreases.

Front

How do you determine the best prediction from a scatterplot?

Back

To determine the best prediction, locate the point on the trendline that corresponds to the known value of one variable and read the estimated value of the other variable.

Front

What does it mean if a scatterplot shows a cluster of points?

Back

A cluster of points in a scatterplot indicates that there is a strong relationship between the two variables in that range.