Scatter Plots

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 does a 'Line of Best Fit' represent in a scatter plot?

Back

A 'Line of Best Fit' is a straight line that best represents the data points in a scatter plot, indicating the trend of the data.

Front

How do you determine the slope of a line using two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a positive slope indicate in a scatter plot?

Back

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

Front

What does a negative slope indicate in a scatter plot?

Back

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

Front

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

Back

A trend line helps to summarize the relationship between the variables and can be used to make predictions.

Front

How can you use a scatter plot to make predictions?

Back

You can use the trend line to estimate the value of one variable based on the value of another variable.

Front

What does it mean if there is no correlation in a scatter plot?

Back

No correlation means that there is no discernible relationship between the two variables; the data points do not follow a pattern.

Front

What is the significance of outliers in a scatter plot?

Back

Outliers are data points that differ significantly from other observations; they can affect the slope and position of the trend line.

Front

How can you identify a strong correlation in a scatter plot?

Back

A strong correlation is indicated by data points that are closely clustered around the trend line.