Investigate patterns of association in bivariate data. Construct and interpret probability and statistics problems plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.

5 cm in mature plant height. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. Please click here for the ADA Compliant version of the Math Standards. Please forward this error screen to 184. Reasoning based on probability and statistics gives modern societies the ability to cope with uncertainty.

It has astonishing power to improve decision-making accuracy and test new ideas. Within probability and statistics there are certain amazing applications which stand out for their profound or unexpected results. This page is aimed especially at AP Statistics students and explores many of these amazing applications. How to Tame Wild Populations The American justice system is remarkably similar to a hypothesis test in statistics. Type I and Type II Errors — Making Mistakes in the Justice System Data tends to be wildly variable but thanks to the central limit theorem we can tame it.

The Quest for a Perfect Random Number Generator Monte Carlo simulations consume huge quantities of random but good random numbers are hard to find. Access to this page has been denied because we believe you are using automation tools to browse the website. Enter the characters you see below Sorry, we just need to make sure you’re not a robot. Enter the characters you see below Sorry, we just need to make sure you’re not a robot. This article needs additional citations for verification. The word probability has been used in a variety of ways since it was first applied to the mathematical study of games of chance. Does probability measure the real, physical tendency of something to occur or is it a measure of how strongly one believes it will occur, or does it draw on both these elements?