 6.1E: Association Suppose you were to collect data for each pair of varia...
 6.2E: Association II Suppose you were to collect data for each pair of va...
 6.3E: Bookstore sales Consider the following data from a small bookstore....
 6.4E: Disk drives 2014 Disk drives have been getting larger. Their capaci...
 6.5E: Correlation facts If we assume that the conditions for correlation ...
 6.6E: Correlation facts II If we assume that the conditions for correlati...
 6.7E: Bookstore sales again A larger firm is considering acquiring the bo...
 6.8E: Blizzards A study finds that during blizzards, online sales are hig...
 6.9E: Salaries and logs For an analysis of the salaries of your company, ...
 6.10E: Dexterity scores Scores on a test of dexterity are recorded by timi...
 6.11E: Association III Suppose you were to collect data for each pair of v...
 6.12E: Association IV Suppose you were to collect data for each pair of va...
 6.13E: Scatterplots Which of the scatterplots below showa) little or no as...
 6.14E: Bookstore sales Consider the following data from a small bookstore....
 6.15E: Performance IQ scores vs. brain size A study examined brain size (m...
 6.16E: Kentucky Derby 2014 The fastest horse in Kentucky Derby history was...
 6.17E: Firing pottery A ceramics factory can fire eight large batches of p...
 6.18E: Coffee sales Owners of a new coffee shop tracked sales for the firs...
 6.19E: Matching Here are several scatterplots. The calculated correlations...
 6.20E: Matching Here and on the next page are several scatterplots. The ca...
 6.21E: Politics A candidate for office claims that “there is a correlation...
 6.22E: Car thefts The National Insurance Crime Bureau reports that Honda A...
 6.23E: Roller coasters 2014 Most roller coasters get their speed by droppi...
 6.24E: Antidepressants A study compared the effectiveness of several antid...
 6.25E: Hard water In a study of streams in the Adirondack Mountains, the f...
 6.26E: Traffic headaches A study of traffic delays in 68 U.S. cities found...
 6.27E: Cold nights Is there an association between time of year and the ni...
 6.28E: Association A researcher investigating the association between two ...
 6.29E: Prediction units The errors in predicting hurricane tracks (examine...
 6.30E: More predictions Hurricane Katrina’s hurricane force winds extended...
 6.31E: Correlation errors Your Economics instructor assigns your class to ...
 6.32E: More correlation errors Students in the Economics class discussed i...
 6.33E: Height and reading A researcher studies children in elementary scho...
 6.34E: Smart phones and life expectancy A survey of the world’s nations in...
 6.35E: Correlation conclusions I The correlation between Age and Income as...
 6.36E: Correlation conclusions II The correlation between Fuel Efficiency ...
 6.37E: Baldness and heart disease Medical researchers followed 1435 middle...
 6.38E: Sample survey A polling organization is checking its database to se...
 6.39E: Income and housing The Office of Federal Housing Enterprise Oversig...
 6.40E: Interest rates and mortgages 2013 Since 1985, average mortgage inte...
 6.41E: Fuel economy 2014 Here are advertised engine size (in liters) and g...
 6.42E: Drug abuse A survey was conducted in the United States and 10 count...
 6.43E: Burgers Fast food is often considered unhealthy because much of it ...
 6.44E: Burgers II In the previous exercise you analyzed the association be...
 6.45E: Attendance 2013 American League baseball games are played under the...
 6.46E: Second inning 2013 Perhaps fans are just more interested in teams t...
 6.47E: Second inning 2010 Perhaps fans are just more interested in teams t...
 6.48E: Thrills 2011 Since 1994, the Best Roller Coaster Poll (www.ushsho.c...
 6.49E: Thrills II For the roller coaster data in Exercise:a) Examine the r...
 6.50E: Thrills III For the roller coaster data in Exercise:a) Explain why ...
 6.51E: Planets (more or less) On August 24, 2006, the International Astron...
 6.52E: Flights 2012 Here are the number of domestic flights flown in each ...
Solutions for Chapter 6: Stats: Data and Models 4th Edition
Full solutions for Stats: Data and Models  4th Edition
ISBN: 9780321986498
Solutions for Chapter 6
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Stats: Data and Models , edition: 4. Since 52 problems in chapter 6 have been answered, more than 40572 students have viewed full stepbystep solutions from this chapter. Chapter 6 includes 52 full stepbystep solutions. Stats: Data and Models was written by and is associated to the ISBN: 9780321986498.

2 k p  factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each

Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

Bayes’ estimator
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.

Bimodal distribution.
A distribution with two modes

Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

Continuity correction.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.

Control limits
See Control chart.

Cook’s distance
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.

Critical value(s)
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.

Crossed factors
Another name for factors that are arranged in a factorial experiment.

Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.

Defectsperunit control chart
See U chart

Dependent variable
The response variable in regression or a designed experiment.

Distribution function
Another name for a cumulative distribution function.

Error variance
The variance of an error term or component in a model.

Exhaustive
A property of a collection of events that indicates that their union equals the sample space.

Firstorder model
A model that contains only irstorder terms. For example, the irstorder response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irstorder model is also called a main effects model

Gamma function
A function used in the probability density function of a gamma random variable that can be considered to extend factorials

Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r

Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.