Scatter Plots & Line 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 does the line of best fit represent in a scatter plot?

Back

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

Front

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

Back

The slope of a line of best fit is determined by the change in the y-values divided by the change in the x-values (rise over run).

Front

What does a positive association in a scatter plot indicate?

Back

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

Front

What does a negative association in a scatter plot indicate?

Back

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

Front

What does it mean if there is no association in a scatter plot?

Back

No association means that there is no discernible pattern or relationship between the two variables.

Front

How can you use a scatter plot to make predictions?

Back

You can use a scatter plot to make predictions by extending the line of best fit to estimate values for one variable based on known values of the other variable.

Front

What is the formula for calculating the line of best fit (linear regression)?

Back

The formula for the line of best fit is typically written as 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 line of best fit?

Back

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

Front

How do outliers affect the line of best fit?

Back

Outliers can skew the line of best fit, making it less accurate in representing the overall trend of the data.