Scatterplots and Lines of Best Fit

Front

What is a scatterplot?

Back

A scatterplot 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 is a line of best fit?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive correlation indicate in a scatterplot?

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 indicate in a scatterplot?

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 no correlation mean in a scatterplot?

Back

No correlation means there is no apparent relationship between the two variables; the data points do not show a clear trend.

Tags

CCSS.HSS.ID.B.5

Front

How can you determine the line of best fit visually?

Back

The line of best fit should pass through the middle of the data points, minimizing the distance from all points to the line.

Tags

CCSS.8.EE.B.5

Front

What is the purpose of a line of best fit?

Back

The purpose of a line of best fit is to summarize the relationship between two variables and make predictions based on that relationship.

Tags

CCSS.8.EE.B.5

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 does it mean if a line of best fit has a steep slope?

Back

A steep slope indicates a strong relationship between the variables, meaning a small change in one variable results in a large change in the other.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line of best fit is flat?

Back

A flat line of best fit indicates a weak relationship between the variables, meaning changes in one variable have little effect on the other.

Tags

CCSS.8.EE.B.5