Scatterplots and Linear Regression

Front

What is a scatterplot?

Back

A scatterplot is a type of graph that shows the relationship between two sets of data. Each point on the graph represents an individual data point.

Front

What does it mean if a scatterplot shows no relationship?

Back

It means that there is no clear pattern or connection between the two sets of data.

Front

What is linear regression?

Back

Linear regression is a method used to find the best-fitting straight line through a set of data points.

Front

What does the slope of a linear regression line represent?

Back

The slope represents how much y changes for a one-unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is where the line crosses the y-axis.

Front

How do you estimate the value of r in a scatterplot?

Back

The value of r, or correlation coefficient, indicates how closely the data points fit a straight line. It ranges from -1 to 1.

Front

What does a positive slope indicate in a linear regression?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate in a linear regression?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is an example of a linear relationship?

Back

An example is the relationship between the number of hours studied and test scores, where more study hours typically lead to higher scores.

Front

What does it mean if the correlation coefficient r is close to 1?

Back

It means there is a strong positive relationship between the two variables.