Scatterplots and Line of Best Fit

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two variables by displaying data points on a two-dimensional grid.

Front

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

Back

The line of best fit represents the trend of the data points in a scatterplot, showing the overall direction of the relationship between the variables.

Front

How do you determine the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a positive slope indicate about the relationship between two variables?

Back

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

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the purpose of the line of best fit in data analysis?

Back

The line of best fit is used to make predictions about one variable based on the value of another variable.

Front

What does it mean if a line of best fit does not go through the origin?

Back

If a line of best fit does not go through the origin, it indicates that the relationship between the variables does not start at zero.

Front

How can you use a scatterplot to make predictions?

Back

You can use a scatterplot by extending the line of best fit to estimate the value of one variable based on the value of another.

Front

What is the significance of the correlation coefficient in relation to scatterplots?

Back

The correlation coefficient measures the strength and direction of the linear relationship between two variables in a scatterplot.

Front

What does it mean if a scatterplot shows no clear trend?

Back

If a scatterplot shows no clear trend, it indicates that there is no significant relationship between the two variables.