Scatterplots and 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.

Tags

CCSS.8.SP.A.1

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.

Tags

CCSS.8.SP.A.2

Front

How can you use a scatter plot to make predictions?

Back

You can use the line of best fit to estimate values for one variable based on the value of another variable.

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.

Tags

CCSS.HSS.ID.B.5

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.

Tags

CCSS.HSS.ID.B.5

Front

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

Back

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

Tags

CCSS.HSS.ID.B.5

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 a method called least squares.

Front

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

Back

A trend line helps to visualize the overall direction of the data and can be used for making predictions.

Front

What is the formula for calculating 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.

Tags

CCSS.8.EE.B.5

Front

What is an example of a situation that could be represented by a scatter plot?

Back

The relationship between hours studied and test scores could be represented by a scatter plot.