Scatter plots- Lines 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 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 overall trend of the data.

Front

What does it mean if a scatter plot shows no relationship?

Back

It means that there is no discernible pattern or correlation between the two variables being plotted.

Front

What is a positive relationship in a scatter plot?

Back

A positive relationship occurs when, as one variable increases, the other variable also increases, resulting in an upward trend.

Front

What is a negative relationship in a scatter plot?

Back

A negative relationship occurs when, as one variable increases, the other variable decreases, resulting in a downward trend.

Front

What is the purpose of a trend line?

Back

A trend line is used to summarize the relationship between the data points in a scatter plot and to make predictions based on that relationship.

Front

Can a line of best fit go through the origin?

Back

No, a line of best fit does not have to go through the origin; it can be positioned anywhere on the graph depending on the data.

Front

What does it mean if a scatter plot has a strong correlation?

Back

A strong correlation means that the data points are closely clustered around the line of best fit, indicating a strong relationship between the variables.

Front

What does it mean if a scatter plot has a weak correlation?

Back

A weak correlation means that the data points are more spread out and do not closely follow the line of best fit, indicating a weaker relationship between the variables.

Front

How can you determine the direction of a relationship in a scatter plot?

Back

The direction of a relationship can be determined by observing the slope of the line of best fit: upward for positive, downward for negative, and flat for no relationship.