Equation of Line of Best Fit (Scatter Plots)

Front

What is the equation of a line of best fit?

Back

The equation of a line of best fit is a linear equation that best represents the data points in a scatter plot, minimizing the distance between the points and the line.

Tags

CCSS.8.EE.B.5

Front

What does the slope of a line represent in a scatter plot?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). A positive slope indicates a direct relationship, while a negative slope indicates an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept is the value of y when x is 0. It represents the point where the line crosses the y-axis.

Front

How do you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line of best fit has a slope of 0?

Back

A slope of 0 indicates that there is no change in the dependent variable (y) as the independent variable (x) changes, resulting in a horizontal line.

Tags

CCSS.8.EE.B.5

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data, using Cartesian coordinates to show the relationship between them.

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 variables in a scatter plot and to make predictions based on that relationship.

Tags

CCSS.8.EE.B.5

Front

What does it mean if the points in a scatter plot are closely clustered around the line of best fit?

Back

If the points are closely clustered around the line of best fit, it indicates a strong correlation between the variables.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

Tags

CCSS.RI.7.7

CCSS.RI.8.7

CCSS.RI.9-10.7

CCSS.RL.7.7

CCSS.RL.8.7

Front

How can outliers affect the line of best fit?

Back

Outliers can skew the line of best fit, leading to a less accurate representation of the overall data trend.

Tags

CCSS.6.EE.A.2C