Scatter Plots and Trend Lines

Front

What is a scatter plot?

Back

A scatter plot 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 scatter plot?

Back

A trend line, or line of best fit, represents the general direction that a set of data points seems to be heading, helping to identify correlations.

Front

What is positive correlation?

Back

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

Front

What is negative correlation?

Back

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 two variables; changes in one do not affect the other.

Front

How do you interpret a scatter plot with a positive trend?

Back

In a scatter plot with a positive trend, as one variable increases, the other variable also tends to increase.

Front

How do you interpret a scatter plot with a negative trend?

Back

In a scatter plot with a negative trend, as one variable increases, the other variable tends to decrease.

Front

What is the purpose of a line of best fit?

Back

The purpose of a line of best fit is to make predictions about one variable based on the value of another variable.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line indicate in a scatter plot?

Back

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