Scatterplots

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does the line of best fit represent in a scatterplot?

Back

The line of best fit represents the trend in the data, indicating the general direction of the relationship between the two variables.

Front

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

Back

The slope is calculated by taking the change in the y-values divided by the change in the x-values (rise over run).

Front

What does a positive slope indicate in a scatterplot?

Back

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

Front

What does a negative slope indicate in a scatterplot?

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

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 is the significance of the y-intercept in a scatterplot?

Back

The y-intercept is the value of y when x is zero, representing the starting point of the relationship.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to estimate the value of one variable based on the value of another variable by finding the corresponding point on the line.

Front

What does it mean if points in a scatterplot are closely clustered around the line of best fit?

Back

If points are closely clustered around the line of best fit, it indicates a strong correlation between the two variables.

Front

What does it mean if points in a scatterplot are widely scattered?

Back

If points are widely scattered, it indicates a weak correlation between the two variables.