8.5D Trend Lines and Linear Relationships

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 a trend line represent in a scatterplot?

Back

A trend line is a straight line that best represents the data points in a scatterplot, indicating the general direction of the relationship between the variables.

Front

How can you predict values using a trend line?

Back

You can predict values by finding the corresponding point on the trend line for a given value of one variable.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What does it mean if a scatterplot shows a positive correlation?

Back

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

Front

What does it mean if a scatterplot shows a negative correlation?

Back

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

Front

What is the purpose of using scatterplots in data analysis?

Back

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

Front

How do you determine the best fit line for a scatterplot?

Back

The best fit line is determined by minimizing the distance between the line and all the data points, often using methods like least squares.

Front

What is interpolation in the context of scatterplots?

Back

Interpolation is the process of estimating unknown values within the range of known data points on a scatterplot.

Front

What is extrapolation in the context of scatterplots?

Back

Extrapolation is the process of estimating unknown values outside the range of known data points on a scatterplot.