Scatter Plots and Line of Best Fit

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 grid.

Front

What does a positive correlation in a scatter plot indicate?

Back

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

Front

What does a negative correlation in a scatter plot indicate?

Back

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

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, showing the overall trend of the data.

Front

How do you determine if a line is a good line of best fit?

Back

A good line of best fit minimizes the distance between the line and all the data points, capturing the trend of the data accurately.

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; changes in one variable do not predict changes in the other.

Front

What is the purpose of using scatter plots?

Back

Scatter plots are used to visually represent the relationship between two variables and to identify patterns, trends, or correlations.

Front

What is an example of a positive relationship in real life?

Back

An example of a positive relationship is the correlation between study time and test scores; as study time increases, test scores tend to increase.

Front

What is an example of a negative relationship in real life?

Back

An example of a negative relationship is the correlation between the amount of time spent watching TV and physical fitness; as TV time increases, fitness levels tend to decrease.

Front

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

Back

The slope of the line of best fit represents the rate of change between the two variables; it indicates how much one variable changes for a unit change in the other variable.