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Algebra II: Statistics and Probability

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you compute conditional probability and apply the addition and multiplication rules, including independence?

Compute conditional probability from two-way tables; apply the addition rule for the probability of A or B; apply the multiplication rule for A and B; and test for independence of two events.
A NY Regents Algebra II answer on probability: conditional probability from two-way tables, the addition rule for A or B, the multiplication rule for A and B, and testing two events for independence.
9 min answer →

How does the normal distribution work, and how do you use z-scores to find probabilities?

Recognize the properties of a normal distribution; use the empirical (68-95-99.7) rule; compute a z-score; and use z-scores (with a calculator or table) to find the proportion of data in an interval.
A NY Regents Algebra II answer on the normal distribution: the bell-curve properties, the 68-95-99.7 empirical rule, computing z-scores, and using them to find the proportion of data in an interval.
9 min answer →

How do you fit and interpret a regression model, and how do residual plots help you choose the right one?

Fit linear, exponential, and other regression models to data; interpret the parameters and the correlation coefficient in context; use a residual plot to judge whether a model is appropriate; and use a model to make predictions.
A NY Regents Algebra II answer on regression: fitting linear and exponential models, interpreting parameters and the correlation coefficient, reading a residual plot to judge model fit, and making predictions.
9 min answer →

How do you distinguish surveys, experiments, and observational studies, and what makes a sample trustworthy?

Distinguish sample surveys, experiments, and observational studies; recognize random sampling and sources of bias; understand the role of randomization and a control group; and use simulation to model a sampling distribution and estimate a margin of error.
A NY Regents Algebra II answer on study design: surveys, experiments, and observational studies, random sampling and bias, randomization and control groups, and using simulation to estimate a margin of error.
9 min answer →