Scatter Plots

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 the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine the correlation in a scatter plot?

Back

Correlation can be determined by observing the direction of the trend: positive correlation (upward trend), negative correlation (downward trend), or no correlation (no clear trend).

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 it mean if there is no correlation in a scatter plot?

Back

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

Front

How can you estimate values using a scatter plot?

Back

You can estimate values by locating the corresponding x-value on the scatter plot and using the line of best fit to find the associated y-value.

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

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.