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 the line of best fit represent in a scatterplot?

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow.

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 distance between the data points and the line.

Front

What is a trendline?

Back

A trendline is a line that is drawn on a scatterplot to represent the general direction of the data points.

Front

What does a positive correlation in a scatterplot indicate?

Back

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

Front

What does a negative correlation in a scatterplot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is the purpose of using a trendline in data analysis?

Back

The purpose of using a trendline is to make predictions about one variable based on the value of another variable.

Front

How can you use a scatterplot to make predictions?

Back

You can use a scatterplot to make predictions by finding the corresponding value on the trendline for a given input value.

Front

What is the difference between a function and a non-function in relation to scatterplots?

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input, which can be identified in a scatterplot.

Front

What does it mean if a scatterplot shows no correlation?

Back

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