Line of Best Fit

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 scatter plot, showing the trend of the data points.

Tags

CCSS.8.EE.B.5

Front

How do you determine if a line is an accurate line of best fit?

Back

A line is an accurate line of best fit if it minimizes the distance between itself and all the data points, ideally passing through the center of the data distribution.

Front

What does the slope of a line represent in a line of best fit?

Back

The slope of a line represents the rate of change between the variables; it indicates how much one variable changes for a unit change in another variable.

Tags

CCSS.8.EE.B.5

Front

What is the formula for the slope of a line?

Back

The formula for the slope (m) is 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 a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How can you write the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as 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

What is the significance of the line of best fit in data analysis?

Back

The line of best fit helps to summarize the relationship between two variables and can be used for predictions.

Tags

CCSS.8.SP.A.2

Front

How do you find the equation of a line of best fit using two points?

Back

To find the equation, first calculate the slope using the two points, then use one of the points to solve for the y-intercept.

Tags

CCSS.8.EE.B.5

Front

What is the purpose of using a scatter plot?

Back

A scatter plot is used to visually display the relationship between two quantitative variables.

Tags

CCSS.8.SP.A.1