Scatter plots and Trend lines

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

What is a trend line?

Back

A trend line is a straight line that best represents the data on a scatter plot, indicating the general direction of the data points.

Front

How do you determine the best fit trend line for a scatter plot?

Back

The best fit trend line is determined by minimizing the distance between the data points and the line, often using the least squares method.

Front

What does a positive trend line indicate in a scatter plot?

Back

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

Front

What does a negative trend line indicate in a scatter plot?

Back

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

Front

What is the purpose of using a trend line in a scatter plot?

Back

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

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to predict the value of one variable based on the value of another by finding the corresponding point on the line.

Front

What is interpolation in the context of scatter plots?

Back

Interpolation is estimating a value within the range of the data points on a scatter plot using the trend line.

Front

What is extrapolation in the context of scatter plots?

Back

Extrapolation is estimating a value outside the range of the data points on a scatter plot using the trend line.

Front

What does it mean if the data points are widely scattered around the trend line?

Back

If the data points are widely scattered around the trend line, it indicates a weak correlation between the variables.