Math 160 F
Fall 2013
Exam 1 Review
Disclaimer: I have attempted to be comprehensive in the
following, but important items may have been omitted by mistake. If
you see such an omission, please let me know, but you are responsible
for all of the lecture material to date.
The first hour exam for Math 160 will be held on Friday, October 4 and
will cover Chapters 1 and 2 (through 2.4). In particular, be prepared
to:
- Know basic definitions (including, but not limited to,
individuals/cases, variables (categorical and quantitative), means, medians,
quartiles, IQR, outliers, variance, standard deviation, lurking variables, etc.). Please
be able to give clear and precise definitions of all the terms we have seen
in the material covered. As mentioned above, although you are
responsible for all terms defined in class, the end-of-section summaries
remind us of most (if not all) of them.
- Be able to construct by hand stemplots (including back-to-back stemplots),
histograms, boxplots and bar graphs.
- Be able to find (by hand) medians, quartiles, IQR, and the rest of the
five number summary.
- Be able to apply the rule for finding outliers.
- Be able to calculate mean, variance, and standard deviation. You
may use a calculator for this sort of question, but (on this exam) only for
doing calculations (i.e., you are not to use the statistical functions of a
statistical calculator, though you may bring this calculator to class).
- Be able to transform means and standard deviations under a change of
units (linear transformations)
- Be able to say what a density curve is, and what mean and median mean for density curves
- Be able to say what a normal distribution is (including the standard
normal distribution) and why it is important
(including the 68-95-99.7 rule). Be able to calculate z-scores
(calculators may be used).
- Be able to use table A (a copy of table A will be provided).
- Be able to say what scatterplots, response and
explanatory variables are.
- Be able to give the formulas for r, r^2 and say what they mean.
You will not be asked to calculate r.
- Be able to answer questions on linear regression, say what the linear
regression line tells us, and be able to calculate the y-intercept and slope
of a regression line given the appropriate values for the correlation
coefficient and averages and standard
deviations. Be able to use the linear regression line to estimate
values for the response variable given a value for the explanatory variable. Be able to describe some of the concerns that arise in
using linear regression.
- Be able generally to solve problems such as appear in the homework
assignments, including problems in the current homework assignment
(assignment #4). There will be some basic questions on linear
regression not yet covered in homework.
- In exam questions in which a calculator may be used, please work the
problem out in enough detail that I can follow what you are doing. The
step before you calculate should be an expression that needs only to be
punched into a calculator to get the answer. This final expression
will be sufficient for questions on this exam except as noted.
An important note: The end-of-section summaries are particularly useful
in identifying the major topics of each section and the major terms defined in
each section. I make use of these summaries in helping to construct exams.