Making Predictions From Trendlines

Front

What is a trendline?

Back

A trendline is a line that is drawn on a scatter plot to represent the general direction of the data points. It helps to visualize the relationship between two variables.

Front

What does the line of best fit represent?

Back

The line of best fit represents the trend in the data and minimizes the distance between the line and all the data points in a scatter plot.

Front

How do you determine the line of best fit?

Back

The line of best fit can be determined using statistical methods such as least squares regression, which calculates the line that minimizes the sum of the squares of the vertical distances of the points from the line.

Front

What is interpolation in the context of trendlines?

Back

Interpolation is the process of estimating unknown values within the range of known data points using the trendline.

Front

What is extrapolation in the context of trendlines?

Back

Extrapolation is the process of estimating unknown values outside the range of known data points using the trendline.

Front

What is the purpose of making predictions from trendlines?

Back

The purpose is to estimate values based on the observed relationship between variables, allowing for informed decision-making.

Front

How can you use a trendline to make predictions?

Back

You can use a trendline by locating the value of the independent variable on the x-axis and then finding the corresponding value on the trendline to predict the dependent variable.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for two variables for a set of data, using dots to represent the values.

Front

What does a positive slope in a trendline indicate?

Back

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

Front

What does a negative slope in a trendline indicate?

Back

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