Line of Best Fit

Front

What is the definition of the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all the data points.

Front

How do you determine the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, which can be found by setting x to 0 in the equation of the line.

Front

What does a negative correlation indicate about two variables?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is a positive correlation?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

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

Back

The purpose is to summarize the relationship between variables and make predictions based on the data.

Front

What does it mean if a graph shows no correlation?

Back

It means there is no discernible relationship between the two variables being analyzed.

Front

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

Back

By observing how closely the data points cluster around the line; a good fit will have points close to the line.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What is the significance of the slope in a line of best fit?

Back

The slope indicates the rate of change between the two variables; a steeper slope represents a stronger relationship.

Front

What is the role of outliers in determining the line of best fit?

Back

Outliers can significantly affect the position and slope of the line of best fit, potentially skewing the results.