Math 1530 Study Guide
Chapters 2-6
1. Be able to identify the WHO, WHAT, WHEN, WHERE, WHY, and HOW of
data.
2. Be able to identify data: categorical and quantitative. How should we describe a
categorical variable? Understand how to examine the association between
categorical variables by comparing conditional and marginal percentages. How
should we describe a quantitative variable? Be able to describe the distribution of
a quantitative variable with a description of the shape of the distribution, center,
and spread.
3. Be able to sketch a stem-and-leaf display and interpret it.
4. Understand how adding a constant and multiplying by a constant affects summary
statistics.
5. Be able to compute the sample mean, median, and IQR.
6. Be able to use Normal models and the 68-95-99.7 Rule. Know how to find the
proportion of observations falling below and or above any value in a Normal
model using a Normal table. Be able to find a z-score or even the original value (y
= z*σ + μ) starting with an area.σ + μ) starting with an area.) starting with an area.
Chapters 7-9
7. Regression: Interpretation of the slope, R-square, correlation. The relationship
between the slope and R-square with the correlation.
8. Be able use the regression model for prediction.
9. Identify the explanatory and response variables in a regression problem.
10. Understand the meaning of a residual – negative, zero, or positive. Identify an
influential point in a graph.
Chapters 11-13
11. Be able to identify the type of sampling used; SRS, stratified, cluster, systematic,
multistage, self-selected, voluntary.
12. What types of bias can occur in a sample survey?
13. Be able to identify: sampling frame, population, sample, statistic, parameter
14. Be able to read a short story and identify whether it is an observational study or an
experiment. If it is an investigative study, identify whether it was retrospective or
prospective. If it was an experiment, identify: the factor(s), the number of levels,
the number of treatments, response variable, the design (completely randomized,
blocked), whether it was blind (or double-blind)
Chapters 14-17
15. Be able to compute a probability from a probability table. Know the meaning of
exactly, at least, at most.
