Scatter plots and line 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 of the data points in a scatter plot, indicating the general direction of the relationship between the variables.

Tags

CCSS.8.SP.A.2

Front

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

Back

The slope of a line of best fit is determined by the change in the y-value divided by the change in the x-value between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is a positive correlation in a scatter plot?

Back

A positive correlation occurs when an increase in one variable corresponds to an increase in another variable, resulting in an upward trend in the scatter plot.

Tags

CCSS.HSS.ID.B.5

Front

What is a negative correlation in a scatter plot?

Back

A negative correlation occurs when an increase in one variable corresponds to a decrease in another variable, resulting in a downward trend in the scatter plot.

Tags

CCSS.HSS.ID.B.5

Front

What does no correlation mean in a scatter plot?

Back

No correlation means there is no discernible relationship between the two variables, and the data points do not show any clear trend.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

The equation of a 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.6

CCSS.8.F.A.3

Front

How can you identify a line of best fit visually?

Back

A line of best fit can be identified visually as a straight line that best represents the data points, minimizing the distance from all points to the line.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a line of best fit?

Back

The y-intercept is the value of y when x is zero, indicating where the line crosses the y-axis and providing context for the relationship.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

A steep slope indicates a strong relationship between the variables, meaning that a small change in x results in a large change in y.

Tags

CCSS.8.EE.B.5