Scatter Plots & Lines of Best Fit

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 is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, showing the trend of the data points.

Front

How do you determine the line of best fit visually?

Back

The line of best fit can be determined by drawing a line that has approximately equal numbers of points above and below it.

Front

What does a positive correlation in a scatter plot indicate?

Back

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

Front

What does a negative correlation in a scatter plot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does it mean when two variables have no association?

Back

It means that changes in one variable do not affect the other variable; there is no discernible pattern.

Front

How can you identify outliers in a scatter plot?

Back

Outliers are data points that fall far away from the general trend of the other points in the scatter plot.

Front

What is the formula for the slope of a line?

Back

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

Front

What does the y-intercept represent in the equation of a line?

Back

The y-intercept is the value of y when x is 0; it represents where the line crosses the y-axis.

Front

How do you interpret the slope of a line of best fit?

Back

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