Scatter plots and lines of best fit

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, where each point represents an observation in the dataset, showing the relationship between the variables.

Tags

CCSS.8.SP.A.1

Front

What does a line of best fit represent in a scatter plot?

Back

A line of best fit is a straight line that best represents the data points in a scatter plot, indicating the trend or relationship between the two variables.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.HSS.ID.B.5

Front

How can you determine the slope of a line of best fit?

Back

The slope of a line of best fit can be determined by calculating the change in the y-values divided by the change in the x-values (rise over run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is the formula for a linear equation in slope-intercept form?

Back

The formula for a linear equation in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you interpret the slope of a line of best fit?

Back

The slope indicates the rate of change between the two variables; a positive slope means that as one variable increases, the other also increases, while a negative slope indicates that as one variable increases, the other decreases.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the line on the y-axis.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How can you use a line of best fit to make predictions?

Back

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

Tags

CCSS.HSF.IF.A.2

Front

What does a negative slope indicate in a scatter plot?

Back

A negative slope indicates an inverse relationship between the two variables; as one variable increases, the other decreases.

Tags

CCSS.HSF-LE.A.1B

Front

What is the purpose of using scatter plots in data analysis?

Back

Scatter plots are used to visually assess the relationship between two quantitative variables, helping to identify trends, correlations, and potential outliers.

Tags

CCSS.8.SP.A.1