- 13.2.15: No tortilla chip aficionado likes soggy chips, so it is importantto...
- 13.2.16: Polyester fiber ropes are increasingly being used as componentsof m...
- 13.2.17: The following data on mass rate of burning x and flamelength y is r...
- 13.2.18: Failures in aircraft gas turbine engines due to highcycle fatigue i...
- 13.2.19: Thermal endurance tests were performed to study therelationship bet...
- 13.2.20: Exercise 14 presented data on body weight x and metabolicclearance ...
- 13.2.21: Mineral mining is one of the most important economicactivities in C...
- 13.2.22: In each of the following cases, decide whether the givenfunction is...
- 13.2.23: Suppose x and y are related according to a probabilisticexponential...
- 13.2.24: Kyphosis refers to severe forward flexion of the spinefollowing cor...
- 13.2.25: The article Acceptable Noise Levels for ConstructionSite Offices (B...
Solutions for Chapter 13.2: Regression with Transformed Variables
Full solutions for Probability and Statistics for Engineering and the Sciences | 9th Edition
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.
Chi-square (or chi-squared) random variable
A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.
Coeficient of determination
See R 2 .
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
A subset of effects in a fractional factorial design that deine the aliases in the design.
The amount of variability exhibited by data
Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
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