Scatterplots and Trendlines

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 grid.

Front

What does a trendline represent in a scatterplot?

Back

A trendline is a line that best represents the data points in a scatterplot, showing the general direction or trend of the data.

Front

How can you use a trendline to make predictions?

Back

You can use a trendline to predict values by extending the line and finding where it intersects with the value you want to estimate.

Front

What is the line of best fit?

Back

The line of best fit is the trendline that minimizes the distance between itself and all the data points in a scatterplot.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

How do you determine if a scatterplot represents a function?

Back

You can use the vertical line test: if a vertical line intersects the scatterplot at more than one point, it is not a function.

Front

What is the purpose of using scatterplots in data analysis?

Back

Scatterplots are used to visually assess the relationship between two variables and identify trends, patterns, or correlations.

Front

What is correlation in the context of scatterplots?

Back

Correlation refers to the strength and direction of a relationship between two variables, which can be positive, negative, or none.

Front

What does a positive correlation look like on a scatterplot?

Back

A positive correlation appears as an upward slope from left to right, indicating that as one variable increases, the other also increases.

Front

What does a negative correlation look like on a scatterplot?

Back

A negative correlation appears as a downward slope from left to right, indicating that as one variable increases, the other decreases.