Equations for Lines of Best Fit

Front

What is a line of best fit?

Back

A line that best represents the data on a scatter plot, showing the trend of the data points.

Front

How do you determine the slope of a line of best fit?

Back

The slope is calculated by taking two points on the line and using the formula (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate in a line of best fit?

Back

It indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate in a line of best fit?

Back

It indicates that as one variable increases, the other variable decreases.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 mean in a line of best fit?

Back

It means there is no change in the y-value as the x-value changes; the line is horizontal.

Front

What is correlation in the context of scatter plots?

Back

Correlation describes the strength and direction of a relationship between two variables.

Front

What does a positive correlation look like on a scatter plot?

Back

Data points trend upwards from left to right, indicating that as one variable increases, the other also increases.

Front

What does a negative correlation look like on a scatter plot?

Back

Data points trend downwards from left to right, indicating that as one variable increases, the other decreases.

Front

What is no correlation?

Back

No correlation means there is no discernible relationship between the two variables; the data points are scattered randomly.