Statistics fall review

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does the least-squares regression line represent?

Back

The least-squares regression line is a straight line that best fits the data points in a scatterplot, minimizing the sum of the squares of the vertical distances of the points from the line.

Front

What happens to the slope of a regression line if an outlier is removed?

Back

Removing an outlier can either increase or decrease the slope of the regression line, depending on the position of the outlier relative to the other data points.

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values, indicating how much the values deviate from the mean.

Front

How can you determine which distribution has a larger standard deviation?

Back

The distribution with a wider spread of data points from the mean has a larger standard deviation.

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

If Larry Bird has an 89% free throw success rate, what is the probability he will make his next free throw?

Back

0.89, since each free throw is an independent event.

Front

What is a segmented bar graph?

Back

A segmented bar graph is a visual representation that shows the proportion of different categories within a whole, often used to compare distributions.

Front

When would you use a segmented bar graph?

Back

You would use a segmented bar graph to show the relationship between two categorical variables, such as gender and favorite toy.

Front

What is the complement of an event in probability?

Back

The complement of an event is the probability that the event does not occur, calculated as 1 minus the probability of the event.