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.

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.

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.

Front

Back

'm' represents the slope of the line.

Front

Back

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

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.

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.

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.

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).

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.