Line of Best Fit

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.

Front

How do you determine the predicted value using the line of best fit?

Back

To determine the predicted value, substitute the given x-value into the equation of the line of best fit.

Front

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

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

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

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the formula for the line of best fit in slope-intercept form?

Back

The formula is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The y-intercept is the value of y when x is 0, representing the starting point of the relationship.

Front

How can you visually assess the accuracy of a line of best fit?

Back

You can assess accuracy by checking how closely the data points cluster around the line.

Front

What is the purpose of using a line of best fit in data analysis?

Back

The purpose is to summarize the relationship between two variables and make predictions.

Front

What does it mean if a line of best fit does not accurately represent the data?

Back

It means that the line does not capture the trend of the data points, leading to inaccurate predictions.

Front

How do you find the equation of the line of best fit using two points?

Back

Use the formula for slope (m) and the point-slope form of the equation to derive the line.