Line of Best Fit Flashcard

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, used to make predictions about future data points.

Front

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

Back

The slope is determined by the change in the y-values divided by the change in the x-values between two points on the line.

Front

What does a positive correlation indicate in a scatter plot?

Back

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

Front

What does a negative correlation indicate in a scatter plot?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

What is an outlier in a data set?

Back

An outlier is a data point that differs significantly from other observations, often lying outside the overall pattern of the data.

Front

How can you identify an outlier on a scatter plot?

Back

An outlier can be identified as a point that is far away from the trend line or the cluster of other data points.

Front

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

Back

The purpose of a trend line is to summarize the relationship between variables and to make predictions based on that relationship.

Front

What does it mean if a scatter plot has no correlation?

Back

No correlation means that there is no discernible relationship between the two variables; changes in one do not affect the other.

Front

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

Back

You can use the line of best fit to estimate the value of one variable based on the value of another variable by finding the corresponding point on the line.

Front

What is the formula for the slope of a line?

Back

The formula for the slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.