Stats Exam 1

Dr. Nikolas Siapoutis

Assistant Teaching Professor of Statistics who has a B.S. in Mathematics and Statistics, M.S. and Ph.D. in Statistics from Penn State University.

STAT 1000

An introductory statistics course that includes topics such as data collection, descriptive statistics, and probability.

Ice-breaker Activity

An activity designed to help participants get to know each other by identifying true and false statements about Dr. Siapoutis.

Canvas

The main course page where students can find resources, due dates, and assignments for STAT 1000.

Descriptive Statistics

A branch of statistics that deals with summarizing and describing the features of a dataset.

R and R Studio

R is a free software environment for statistical computing; RStudio is an IDE that provides an interface for R.

Random Experiment

A process leading to one of several outcomes that cannot be predicted beforehand.

Sample Space

The set of all possible outcomes of a trial, denoted by S or Ω.

Probability

The chance that a specific event occurs, ranging from 0 (impossible) to 1 (certain).

Joint Probability

The probability that two events, A and B, occur at the same time, denoted as P(A and B).

Conditional Probability

The probability that one event occurs given that another event has already occurred, denoted as P(B|A).

Correlation

A statistical measure that describes the strength and direction of a relationship between two quantitative variables.

Independent Events

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Disjoint Events

Two events that cannot occur simultaneously; the occurrence of one event means the other cannot occur.

Regression Line

The best fitting line that summarizes the relationship between two variables in a scatterplot.

Residual

The difference between the observed value and the predicted value from a regression model.

Mean

The average of all values in a dataset, a measure of central tendency.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values.

Outlier

An observation that is unusually far away from the rest of the data.

Five Number Summary

A summary that includes the minimum, first quartile, median, third quartile, and maximum.

Boxplot

A graphical display of the five-number summary, highlighting outliers.

Simulation

Using modeled data to estimate statistical relationships, often to test hypotheses.

Sampling Method

The technique used to select individuals from a population to be in a sample.