5/21 Line of Best Fit and Linear Regression

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, showing the trend of the data points.

Tags

CCSS.8.EE.B.5

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 calculating the change in the y-values divided by the change in the x-values between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does the slope of a linear regression equation represent?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear regression 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.HSF.LE.B.5

Front

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

Back

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

Front

What is linear regression?

Back

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Tags

CCSS.8.SP.A.2

Front

What does a positive slope indicate in a linear regression model?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Tags

CCSS.HSF.LE.B.5

Front

What does a negative slope indicate in a linear regression model?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Tags

CCSS.HSF.LE.B.5

Front

What is the purpose of a scatter plot?

Back

A scatter plot is used to visually display the relationship between two quantitative variables, helping to identify trends, patterns, or correlations.

Tags

CCSS.8.SP.A.1

Front

How can outliers affect the line of best fit?

Back

Outliers can significantly affect the slope and position of the line of best fit, potentially leading to misleading interpretations of the data.