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 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 'no association' mean in a scatter plot?

Back

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

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 general direction of the data.

Front

How do you determine the line of best fit?

Back

The line of best fit is determined by minimizing the distance between the line and all the data points, often using the least squares method.

Front

Can a line of best fit go through the origin?

Back

No, a line of best fit does not have to go through the origin; it can start anywhere on the graph.

Front

What is the purpose of using a trend line in a scatter plot?

Back

The purpose of a trend line is to help visualize the overall direction of the data and make predictions based on 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 where the point falls on the line.

Front

What is the significance of the slope of the line of best fit?

Back

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