- 7.1.1E: Compute the correlation coefficient for the following data set.x123...
- 7.1.2E: For each of the following data sets, explain why the correlation co...
- 7.1.3E: For each of the following scatterplots, state whether the correlati...
- 7.1.4E: True or false, and explain briefly:a. If the correlation coefficien...
- 7.1.5E: An investigator collected data on heights and weights of college st...
- 7.1.6E: In a study of ground motion caused by earthquakes, the peak velocit...
- 7.1.7E: A chemical engineer is studying the effect of temperature and stirr...
- 7.1.8E: Another chemical engineer is studying the same process as in Exerci...
- 7.1.9E: Tire pressure (in kPa) was measured for the right and left front ti...
- 7.1.10E: In a sample of 300 steel rods, the correlation coefficient between ...
- 7.1.11E: The article “Drift in Posturography Systems Equipped With a Piezoel...
- 7.1.12E: Phonics is an instructional method in which children are taught to ...
- 7.1.13E: The article “‘Little Ice Age’ Proxy Glacier Mall Balance Records Re...
- 7.1.14E: A scatterplot contains four points: (-2,-2), (-1,-1), (0,0), and (1...
Solutions for Chapter 7.1: Statistics for Engineers and Scientists 4th Edition
Full solutions for Statistics for Engineers and Scientists | 4th Edition
a-error (or a-risk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).
Analysis of variance (ANOVA)
A method of decomposing the total variability in a set of observations, as measured by the sum of the squares of these observations from their average, into component sums of squares that are associated with speciic deined sources of variation
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
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.
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.
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
The mean of the conditional probability distribution of a random variable.
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
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 .
Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.
Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t
Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.
A subset of effects in a fractional factorial design that deine the aliases in the design.
Estimate (or point estimate)
The numerical value of a point estimator.
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .
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 .