Line of Best Fit (interpreting slope and y-intercept)

Front

What is the definition of 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

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

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept of a line of best fit indicate?

Back

The y-intercept indicates the value of the dependent variable when the independent variable is zero.

Tags

CCSS.HSF.LE.B.5

Front

Back

'm' represents the slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Back

'b' represents the y-intercept of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If the slope of a line is 2, what does this mean in context?

Back

It means that for every 1 unit increase in the independent variable, the dependent variable increases by 2 units.

Tags

CCSS.8.EE.B.5

Front

How do you interpret a negative slope in a line of best fit?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the significance of a y-intercept of 0 in a line of best fit?

Back

A y-intercept of 0 indicates that when the independent variable is zero, the dependent variable is also zero.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

The slope can be calculated using the formula: slope = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does it mean if the line of best fit is horizontal?

Back

A horizontal line of best fit indicates that there is no relationship between the independent and dependent variables.

Tags

CCSS.8.EE.B.5