The three main topics covered by test 2 will be probability (Ch. 4), regression (Ch. 2, 10,
11), and one-way ANOVA (Ch. 12). Please note that the pages and topics listed here
are not meant to be an exhaustive list of things we have learned since the last
test.
1. Probability (5 points out of 20 on the test)
(a) Sample space, event (pp. 295-297)
(b) Probability rules, Venn diagrams (pp. 297-299)
(c) Calculating probabilities when outcomes are equally likely (pp. 300-301)
(d) Independent events, disjoint events (pp. 301-302, p. 298)
(e) Discrete and continuous random variables (pp. 313-319)
(f) Mean (expected value) of a random variable (pp. 326-328)
(g) Law of large numbers (p. 330)
(h) Forumula for P (A or B) (p. 349)
(i) Conditional probability (pp. 350-352)
(j) Topics from Ch. 4 not covered on this test: variance of a random variable, rules for
means and variances (pp. 333-338); tree diagrams, Bayes’ rule, decision analysis
(pp. 354-358)
2. One-way ANOVA (5 points out of 20 on the test)
(a) What it does (pp. 744-745)
(b) Assumptions of the model (p. 751)
(c) Hypotheses tested by the model (p. 747, p. 753)
(d) Idea behind F statistic (p. 747)
(e) Using Table E to estimate p-value for F test (p. 759-760)
(f) Pooled variance and pooled standard deviation (p. 752-753)
(g) The ANOVA table (pp. 757-761)
(h) Interpretation of ANOVA table output
(i) Topics from Ch. 12 not covered on this test: Contrasts, multiple comparisons,
software, power (pp. 762-777)
3. Regression (10 points out of 20 on the test)
(a) Scatterplots (pp. 106-108)
(b) Correlation (pp. 126-131)
(c) Calculation of least-squares line for simple regression (pp. 140-141, p. 666)
(d) Interpretation of R-squared (pp. 144-145, p. 718)
(e) Prediction of response using least-squares line (pp. 137-139, pp. 673-676)
(f) Residuals (p. 154, p. 666, p. 715)
(g) Residual plots for simple linear regression (pp. 154-156)
(h) Outliers (pp. 160-162)
(i) Estimating σ (pp. 666-667, p. 715)
(j) Model for simple linear regression (pp. 662-665)
(k) Model for multiple linear regression (pp. 712-714)
(l) Confidence intervals for regression coefficients (p. 672, p. 716)
(m) Interpretation of output
i.
ii.
iii.
iv.
v.
vi.
Coefficient estimates, regression equation (p. 666, p. 714)
Standard errors of coefficient estimates (p. 672, pp. 715-716)
T statistics, hypotheses they test (pp. 672-673, p. 716)
P-values for T statistics (p. 672, p. 716)
Estimate of σ (pp. 666-667, p. 715)
ANOVA F statistic, what it tests (p. 684, pp. 717-718)
(n) Topics from Ch. 2, 10, 11 not covered on this test: exponential growth, categorical data, causation (pp. 181-212); nonlinear regression (pp. 678-680); formulas
in Section 10.2 (pp. 681-695); case study, tests for collections of regression coefficients, logistic regression (pp. 719-732).