Line of Best Fit

Front

What is 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

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

Back

The equation can be determined using statistical methods such as linear regression, which calculates the slope and y-intercept based on the data points.

Front

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

Back

The slope indicates the rate of change between the two variables represented in the scatter plot.

Front

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

Back

The y-intercept is the value of y when x is zero, indicating the starting point of the relationship.

Front

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

Back

You can use the equation of the line to estimate the value of one variable based on the value of another.

Front

What is the purpose of a scatter plot?

Back

A scatter plot visually represents the relationship between two quantitative variables.

Front

What does it mean if there is no line of best fit for a scatter plot?

Back

It means that there is no clear trend or relationship between the variables, and the data points are scattered randomly.

Front

How can you identify a strong correlation in a scatter plot?

Back

A strong correlation is indicated by data points that are closely clustered around the line of best fit.

Front

What is the difference between positive and negative correlation?

Back

Positive correlation means that as one variable increases, the other also increases. Negative correlation means that as one variable increases, the other decreases.

Front

What is the formula for the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) using two points (x1, y1) and (x2, y2) on the line.