Making Predictions From Trendlines

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 if a line is an accurate line of best fit?

Back

A line is an accurate line of best fit if it minimizes the distance between itself and all the data points, ideally passing through the center of the data distribution.

Front

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

Back

The slope of a line of best fit represents the rate of change between the two variables in the data set.

Front

What is the purpose of making predictions from trendlines?

Back

The purpose is to estimate unknown values based on the established relationship between the variables represented in the data.

Front

If a line of best fit has a positive slope, what does that indicate about the relationship between the variables?

Back

A positive slope indicates a direct relationship, meaning as one variable increases, the other variable also increases.

Front

If Joe earned $400 and the line of best fit indicates he worked 25 hours, what is the rate of pay per hour?

Back

The rate of pay per hour is $400 ÷ 25 hours = $16 per hour.

Front

What does a scatter plot show?

Back

A scatter plot shows the relationship between two quantitative variables, displaying individual data points.

Front

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

Back

You can use the line of best fit to find the expected value of one variable based on the value of another variable by locating the point on the line corresponding to the known value.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.

Front

What does it mean if a line of best fit has a negative slope?

Back

A negative slope indicates an inverse relationship, meaning as one variable increases, the other variable decreases.