Scatter Plots and Trend Lines

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Tags

CCSS.8.SP.A.1

Front

What does a negative correlation indicate in a scatter plot?

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 a positive correlation indicate in a scatter plot?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

How can you determine the trend line in a scatter plot?

Back

The trend line can be determined by plotting the data points and drawing a line that best fits the overall direction of the points.

Front

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

Back

The purpose of a trend line is to summarize the relationship between the variables and to make predictions based on the data.

Front

How do you interpret the slope of a trend line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the equation of a trend line in slope-intercept form?

Back

The equation of a trend line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a trend line equation?

Back

The y-intercept represents the value of y when x is zero, indicating where the trend line crosses the y-axis.

Tags

CCSS.HSF.LE.B.5

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to make predictions by substituting a value of x into the trend line equation to find the corresponding value of y.

Front

What is the significance of outliers in a scatter plot?

Back

Outliers are data points that deviate significantly from the trend; they can affect the slope and position of the trend line.