Scatterplots

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 the slope of a line represent in a scatterplot?

Back

The slope of a line in a scatterplot represents the rate of change between the two variables. A positive slope indicates a direct relationship, while a negative slope indicates an inverse relationship.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a correlation coefficient of r = 0 indicate?

Back

A correlation coefficient of r = 0 indicates no correlation between the two variables, meaning changes in one variable do not predict changes in the other.

Front

What does a positive correlation look like in a scatterplot?

Back

A positive correlation in a scatterplot appears as a pattern where data points trend upwards from left to right, indicating that as one variable increases, the other also tends to increase.

Front

What does a negative correlation look like in a scatterplot?

Back

A negative correlation in a scatterplot appears as a pattern where data points trend downwards from left to right, indicating that as one variable increases, the other tends to decrease.

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, minimizing the distance between the line and all data points.

Front

How can you estimate the strength of a correlation from a scatterplot?

Back

The strength of a correlation can be estimated by observing how closely the data points cluster around the line of best fit; tighter clustering indicates a stronger correlation.

Front

What does it mean if a scatterplot shows no clear pattern?

Back

If a scatterplot shows no clear pattern, it suggests that there is no significant relationship between the two variables being analyzed.