- 2.4.1: Bar Chart and Pareto Chart A bar chart and a Pareto chart both use ...
- 2.4.2: Scatterplot What is a scatterplot? What type of data is required fo...
- 2.4.3: SAT Scores Listed below are SAT scores from a sample of students (b...
- 2.4.4: SAT Scores Given that the data in Exercise 3 were obtained from stu...
- 2.4.5: Scatterplots. In Exercises 58, use the given paired data from Appen...
- 2.4.6: Scatterplots. In Exercises 58, use the given paired data from Appen...
- 2.4.7: Scatterplots. In Exercises 58, use the given paired data from Appen...
- 2.4.8: Scatterplots. In Exercises 58, use the given paired data from Appen...
- 2.4.9: Time-Series Graphs. In Exercises 9 and 10, construct the time-serie...
- 2.4.10: Time-Series Graphs. In Exercises 9 and 10, construct the time-serie...
- 2.4.11: Dotplots. In Exercises 11 and 12, construct the dotplot. Coke Volum...
- 2.4.12: Dotplots. In Exercises 11 and 12, construct the dotplot. Car Pollut...
- 2.4.13: Stemplots. In Exercises 13 and 14, construct the stemplot. Car Cras...
- 2.4.14: Stemplots. In Exercises 13 and 14, construct the stemplot. Car Brak...
- 2.4.15: Pareto Charts. In Exercises 15 and 16, construct the Pareto chart. ...
- 2.4.16: Pareto Charts. In Exercises 15 and 16, construct the Pareto chart. ...
- 2.4.17: Pie Charts. In Exercises 17 and 18, construct the pie chart. Awful ...
- 2.4.18: Pie Charts. In Exercises 17 and 18, construct the pie chart. . Scho...
- 2.4.19: Frequency Polygon. In Exercises 19 and 20, construct the frequency ...
- 2.4.20: Frequency Polygon. In Exercises 19 and 20, construct the frequency ...
- 2.4.21: Deceptive Graphs. In Exercises 2124, identify the characteristic th...
- 2.4.22: Deceptive Graphs. In Exercises 2124, identify the characteristic th...
- 2.4.23: Deceptive Graphs. In Exercises 2124, identify the characteristic th...
- 2.4.24: Deceptive Graphs. In Exercises 2124, identify the characteristic th...
- 2.4.25: Back-to-Back Stemplots Exercise 19 in Section 2-3 used back-to-back...
- 2.4.26: . Expanded and Condensed Stemplotsa. A stemplot can be expanded by ...
Solutions for Chapter 2.4: Graphs That Enlighten and Graphs That Deceive
Full solutions for Essentials of Statistics | 5th Edition
2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.
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.
Central composite design (CCD)
A second-order response surface design in k variables consisting of a two-level factorial, 2k axial runs, and one or more center points. The two-level factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a second-order model.
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
A dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the off-diagonal elements rij are the correlations between Xi and Xj .
A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .
An expression sometimes used for nonlinear regression models or polynomial regression models.
A matrix that provides the tests that are to be conducted in an experiment.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
Error of estimation
The difference between an estimated value and the true value.
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
A signal from a control chart when no assignable causes are present
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.
In multiple regression, the matrix H XXX X = ( ) ? ? -1 . This a projection matrix that maps the vector of observed response values into a vector of itted values by yˆ = = X X X X y Hy ( ) ? ? ?1 .