Scatterplots and trend lines review

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

What does a trend line represent in a scatterplot?

Back

A trend line represents the general direction or pattern of the data points in a scatterplot, indicating the relationship between the variables.

Front

What is a positive correlation?

Back

A positive correlation occurs when an increase in one variable leads to an increase in another variable.

Front

What is a negative correlation?

Back

A negative correlation occurs when an increase in one variable leads to a decrease in another variable.

Front

What does 'no correlation' mean?

Back

No correlation means there is no discernible relationship between the two variables; changes in one do not affect the other.

Front

How do you determine the line of best fit?

Back

The line of best fit is determined by finding a line that best represents the data points in a scatterplot, minimizing the distance between the line and all points.

Front

What is the purpose of using a trend line in predictions?

Back

A trend line helps make predictions about one variable based on the value of another variable by extrapolating the relationship shown in the scatterplot.

Front

How can you use a scatterplot to make predictions?

Back

You can use a scatterplot to make predictions by locating a value on one axis and using the trend line to find the corresponding value on the other axis.

Front

What is the significance of the slope of a trend line?

Back

The slope of a trend line indicates the rate of change between the two variables; a steeper slope means a stronger relationship.

Front

What does it mean if a scatterplot has 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.