Math 103 Spring 2012

Exam 2 review

The first hour exam will be on Friday, March  23, in class, and will cover Chapters 4 (through 4.4) through 6 of the textbook

Some preliminary notes:

• I have attempted to be comprehensive in the following, but you are responsible for the material covered, even if I do forget to list something here.  If you do find an omission, please do let me know.

In your review, look at definitions, textbook examples, and homework problems assigned.  In particular:

• Be able to give a definition of terms encountered so far (a list of definitions appear at the end of each chapter)

• Be able to construct mixture charts and use that information to construct linear constraints

• Be able to draw feasibility regions.

• Be able to use the corner principle to find an optimal production policy.

• In the material on statistics, know basic definitions (including, but not limited to, individuals/cases, variables, means, medians, quartiles, IQR, outliers, variance, standard deviation, linear regression line, correlation coefficient, residual, 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, 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 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 describe a normal distribution, and be able to state and use the 68-95-99.7 rule.
• Be able to say what a linear regression line is (why is it called a "least squares linear regression line?), and be able to use it to estimate the value of a response variable.
• Know the formulas for the correlation coefficient and for the linear regression line.  But since we have not had an exercise set from chapter 6 yet, I will not ask you to calculate a correlation coefficient or the slope and intercept of a regression line.

• We have discussed several mathematicians during the past few weeks.  Please be prepared to give brief descriptions of each and be able to say how they are relevant to this course.  Links provided point to articles about the mathematicians.

• Johann Carl Friedrich Gauss
• Karl Pearson

Notes: 

1.         Show your work.  Answers given without indication of how you got the answer may not receive credit

2.         Calculators will be permitted on this exam.  In problems involving calculating a number, however, it is sufficient to leave the calculation in a form in which it can be entered into a calculator.  If you do use a calculator, you should include this “pre-calculator” expression as part of your answer.

Any questions?  Please ask!