Line of Best Fit

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot. It shows the general direction of the data points.

Tags

CCSS.8.EE.B.5

Front

What does a correlation coefficient of -0.26 indicate?

Back

A correlation coefficient of -0.26 indicates a weak negative correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

How do you determine if a correlation is strong, moderate, or weak?

Back

A correlation is considered strong if the coefficient is close to -1 or 1, moderate if it is around -0.5 or 0.5, and weak if it is close to 0.

Tags

CCSS.HSS.ID.B.5

Front

What is the formula for a line of best fit in the context of a linear relationship?

Back

The formula for a line of best fit is typically written as f(x) = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.5

Front

If the correlation coefficient (r) is -0.89, what does this imply?

Back

This implies a strong negative correlation, meaning as one variable increases, the other tends to decrease.

Tags

CCSS.HSS.ID.B.5

Front

What does the slope (m) in the line of best fit represent?

Back

The slope (m) represents the rate of change of the dependent variable for each unit change in the independent variable.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept (b) in the line of best fit?

Back

The y-intercept (b) is the value of the dependent variable when the independent variable is zero.

Tags

CCSS.8.EE.B.5

Front

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

Back

You can use the line of best fit to predict the value of the dependent variable for a given value of the independent variable by substituting the value into the equation.

Tags

CCSS.HSF.IF.A.2

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables, with points representing individual data points.

Tags

CCSS.8.SP.A.1

Front

What does it mean if the line of best fit slopes upwards?

Back

If the line of best fit slopes upwards, it indicates a positive correlation, meaning as one variable increases, the other variable also tends to increase.

Tags

CCSS.8.EE.B.5