Scatterplots

Front

What is a scatterplot?

Back

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

Front

What does the slope of a line in a scatterplot represent?

Back

The slope represents the rate of change between the two variables; a positive slope indicates a direct relationship, while a negative slope indicates an inverse relationship.

Front

What does a negative slope indicate in a scatterplot?

Back

A negative slope 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 scatterplot, minimizing the distance between the line and all data points.

Front

How do you determine the line of best fit?

Back

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

Front

What does it mean if a scatterplot shows 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 two variables.

Front

What is the purpose of using scatterplots in data analysis?

Back

Scatterplots are used to visually assess the relationship between two variables, identify trends, and detect outliers.

Front

What does it mean if a scatterplot has no correlation?

Back

No correlation means that there is no discernible relationship between the two variables, and the data points are scattered randomly.

Front

How can you interpret the y-intercept of a line of best fit?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

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

Back

An example of a negative correlation is the relationship between the age of a car and its market value; as the car gets older, its value typically decreases.