Download Review Exam 1 (Chapter 1-5, 8, 9,10)/Math 1680/Ms

Review Exam 1 (Chapter 1-5, 8, 9,10)/Math 1680/Ms. Stonebraker
Study: Quizzes, notes, worksheets, and reread through the book. If you have time, work
through problems in the book again…
Chapter 1 (Controlled Experiments):
 Be able to:
o Define and specifically discuss the importance of the following:
 Controlled experiment
 Control group
 Treatment group
 Double-blind experiment
 Blind experiment
 Randomized study
 Confounding factors
 Self-selected study
o Look at a study and analyze what is right and wrong in regards to its
construction.
o Answer why is it better to compare rates rather than sizes
 It is a great idea to look over Quiz 1 and your reading assignment for this chapter.
Chapter 2 (Observational Studies):
 Be able to:
o Discuss random versus observational studies
o Discuss and recognize Simpson’s paradox
o Give example of why association does not necessarily imply causation.
 See Section 3 in this chapter
o Discuss the difference between adherers and non-adherers
Chapter 3 (Histograms);
 Be able to:
o Create a histogram
 Vertical scale is density which is % per horizontal unit
o Create a boxplot (also know as a box-and-whiskers plot)
o Read a histogram
o Recognize a bad histogram
o Discuss and recognize the difference between
 Qualitative and quantitative
 Continuous and discrete
 Density (vertical scale) = percentage / (width of interval)
Chapter 4 (Average and Standard Deviation):
 Be able to:
o Discuss why standard deviation cannot be negative.
o Do word problems associated with averages
o Give an example where the standard deviation is 0
Remember:
There is an additional question and answer time on Tuesday night March 1st from 7-9:30pm in GAB 318.
Make good use of this time. I will be there regardless if eighty people come or none shows.


o Give an example where the mean and median are not equal.
 Specifically:
 Mean > median
 Mean < median
o Discuss skewedness
 If skewed right, the mean is larger than the median. Where are the
outliers? What does the graph look like?
 Likewise with skewed left…
o Discuss when the mean is equal to the median. When is it not?
o Define and/or find the following:
 Median
 Mean
 Q1 – 25th percentile
 Q2 – 50th percentile
 Q3 – 75th percentile
 IQR = Q3 - Q1
 Standard deviation
 RMS
 Outliers
o Recognize what happens to the standard deviation and mean when:
 A number is added to each pieces
 A non-negative number is multiplied by each pieces
 A negative number is multiplied by each pieces
x  x2  ...  xn
Ave(X) = x  1
n
SD =
( x1  x ) 2  ...  ( x n  x ) 2
n
Chapter 5 (The Normal Curve):
This chapter is very important and I would make sure I was very comfortable with what lies within it.

Be able to:
o Find a value’s z-score
o Find a z-score’s original value
o Find the percentage above, below, between z-value(s)
o Find a data piece associated with a percentage
o Find a percentage associated with a data piece
o Recall that percentage is cumulative
o Find two data pieces for which there is a certain percentage between those
values when it is centered at the mean
o Make use of a z-chart

z x  SU x 
xx
SD
Chapter 8(Correlation) / Chapter 9 (More about Correlation):
 Be able to:
Remember:
There is an additional question and answer time on Tuesday night March 1st from 7-9:30pm in GAB 318.
Make good use of this time. I will be there regardless if eighty people come or none shows.


o Find the correlation coefficient
o Recognize what does not effect the correlation coefficient
 Interchanging the two variables
 Adding the same number to all the values of one variable
 Multiplying all the values of one variable by the same positive
number
o Know what is means for two things to have a positive or negative
correlation.
o Give and example of something with positive (negative) correlation
o Distinguish if one thing has a stronger correlation then another
o Recognize a graph with a certain mean, standard deviation, and correlation
coefficient
o Recall that r can only be a number between 1 and –1
o Give and graph the equation of a standard deviation line given the mean,
standard deviation, and correlation coefficient
o Know what it means for something to have a certain correlation
coefficient. For example:
 r = .08, weak positive correlation
 r = -.95, strong negative correlation
r  Ave( z x * z y )
SD line equation
 SD(Y ) 
x  Ave( X )   Ave(Y )
o y   
 SD( X ) 
 SD(Y ) 

o Contains the point (Ave(X), Ave (Y)), and has slope of m =  
 SD( X ) 
Chapter 10 (Regression):
 Be able to:
o Give the equation of the regression line
o Graph the equation of the regression line
o Discuss the difference and similarities between the regression and
standard deviation line.
 What point do they have in common?
 How do their slopes differ?
 What does each of the lines try to fit?
o Recognize regression effect and fallacy
o Predict a dependent variable given nothing about the independent variable
o Predict a dependent variable given the correlation coefficient between the
two variable
 Regression Line:
 SD(Y ) 
x  Ave( X )   Ave(Y )
o y  r 
SD
(
X
)


 SD(Y ) 

o Contains the point (Ave(X), Ave (Y)), and has slope of m = r 
SD
(
X
)


Remember:
There is an additional question and answer time on Tuesday night March 1st from 7-9:30pm in GAB 318.
Make good use of this time. I will be there regardless if eighty people come or none shows.