8.5D Trend Lines and Linear Relationships

Front

What is a trend line in a scatterplot?

Back

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

Front

What does a positive linear relationship indicate?

Back

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

Front

What does a negative linear relationship indicate?

Back

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

Front

How can you predict values using a scatterplot?

Back

You can predict values by finding the trend line and using it to estimate the value of one variable based on the value of another.

Front

What is the purpose of a scatterplot?

Back

A scatterplot is used to display the relationship between two quantitative variables.

Front

What does the slope of a trend line represent?

Back

The slope of a trend line represents the rate of change between the two variables.

Front

What is interpolation in the context of scatterplots?

Back

Interpolation is estimating a value within the range of the data points on a scatterplot.

Front

What is extrapolation in the context of scatterplots?

Back

Extrapolation is estimating a value outside the range of the data points on a scatterplot.

Front

What is the significance of outliers in a scatterplot?

Back

Outliers are data points that differ significantly from other observations and can affect the trend line and predictions.

Front

How do you determine the best fit line for a scatterplot?

Back

The best fit line is determined by minimizing the distance between the line and all data points, often using the least squares method.