Scatterplots and Lines of Best Fit

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

Front

What does a positive correlation indicate in a scatterplot?

Back

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

Front

What does a negative correlation indicate in a scatterplot?

Back

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

Front

What does 'no correlation' mean in the context of a scatterplot?

Back

No correlation means that there is no apparent relationship between the two variables; changes in one variable do not predict changes in the other.

Front

What is the purpose of a line of best fit?

Back

A line of best fit is used to summarize the relationship between the variables in a scatterplot, helping to predict values.

Front

How do you determine the slope of a line in a scatterplot?

Back

The slope is determined by the change in the y-value divided by the change in the x-value between two points on the line.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between the two variables; for example, how much one variable changes for a unit change in the other.

Front

If the slope of a line is negative, what does that indicate about the relationship between the variables?

Back

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

Front

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

Back

Front

What does the y-intercept represent in a scatterplot?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.