 9.1: The following data relate x, the moisture of a wet mix of a certain...
 9.2: The following data relate the number of units of a good that were o...
 9.3: The corrosion of a certain metallic substance has been studied in d...
 9.4: The following data indicate the relationship between x, the specifi...
 9.5: The following data indicate the gain in reading speed versus the nu...
 9.6: Infrared spectroscopy is often used to determine the natural rubber...
 9.7: The following table gives the 1996 SAT mean math and verbal scores ...
 9.8: Verify Equation 9.3.3, which states that Var(A) = 2 n _ i=1 x2 i n ...
 9.9: In 4, (a) Estimate the variance of an individual response. (b) Dete...
 9.10: Verify that SSR = SxxSYY S2 xY Sxx
 9.11: The following table relates the number of sunspots that appeared ea...
 9.12: The following data set presents the heights of 12 male law school c...
 9.13: Suppose in the simple linear regression model Y = + x + e that 0 < ...
 9.14: A study has shown that a good model for the relationship between X ...
 9.15: Experienced flight instructors have claimed that praise for an exce...
 9.16: Verify Equation 9.4.3.
 9.17: The following data represent the relationship between the number of...
 9.18: The following are the average scores on the mathematics part of the...
 9.19: (a) Draw a scatter diagram of cigarette consumption versus death ra...
 9.20: (a) Draw a scatter diagram relating cigarette use and death rates f...
 9.21: (a) Draw a scatter diagram of cigarette use versus death rate from ...
 9.22: (a) Draw a scatter diagram of cigarettes smoked versus death rate f...
 9.23: (a) Estimate the variances in 19 through 22. (b) Determine a 95 per...
 9.24: Plot the standardized residuals from the data of 1. What does the p...
 9.25: It is difficult and time consuming to measure directly the amount o...
 9.26: The determination of the shear strength of spot welds is relatively...
 9.27: The following are the ages and weights of a random sample of 10 hig...
 9.28: Glass plays a key role in criminal investigations, because criminal...
 9.29: The regression model Y = x + e, e N(0, 2) is called regression thro...
 9.30: The following are the body mass index (BMI) and the systolic blood ...
 9.31: The weight and systolic blood pressure of randomly selected males i...
 9.32: It has been determined that the relation between stress (S) and the...
 9.33: In 1957 theDutch industrial engineer J. R. DeJong proposed the foll...
 9.34: The chlorine residual in a swimming pool at various times after bei...
 9.35: The proportion of a given heat rise that has dissipated a time t af...
 9.36: The following data represent the bacterial count of five individual...
 9.37: The following data yield the amount of hydrogen present (in parts p...
 9.38: A new drug was tested on mice to determine its effectiveness in red...
 9.39: The following data represent the relation between the number of can...
 9.40: Redo under the assumption that the variance of the gain in reading ...
 9.41: The following data relate the proportions of coal miners who exhibi...
 9.42: The following data set refers to Example 9.8c. Number of Cars Numbe...
 9.43: The peak discharge of a river is an important parameter for many en...
 9.44: The sediment load in a stream is related to the size of the contrib...
 9.45: Fit a multiple linear regression equation to the following data set.
 9.46: The following data refer to Stanford heart transplants. It relates ...
 9.47: (a) Fit a multiple linear regression equation to the following data...
 9.48: The tensile strength of a certain synthetic fiber is thought to be ...
 9.49: The time to failure of a machine component is related to the operat...
 9.50: Explain why, for the same data, a prediction interval for a future ...
 9.51: Consider the following data set: x1 x2 y 5.1 2 55.42 5.4 8 100.21 5...
 9.52: The cost of producing power per kilowatt hour is a function of the ...
 9.53: The following data relate the systolic blood pressure to the age (x...
 9.54: A recently completed study attempted to relate job satisfaction to ...
 9.55: Suppose in that job satisfaction was related solely to years on the...
 9.56: For the logistics regression model, find the value x such that p(x)...
 9.57: A study of 64 prematurely born infants was interested in the relati...
 9.58: Twelve firsttime heart attack victims were given a test that measu...
Solutions for Chapter 9: Regression
Full solutions for Introduction to Probability and Statistics for Engineers and Scientists  5th Edition
ISBN: 9780123948113
Solutions for Chapter 9: Regression
Get Full SolutionsThis textbook survival guide was created for the textbook: Introduction to Probability and Statistics for Engineers and Scientists, edition: 5. Since 58 problems in chapter 9: Regression have been answered, more than 5407 students have viewed full stepbystep solutions from this chapter. Introduction to Probability and Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780123948113. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9: Regression includes 58 full stepbystep solutions.

Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chisquare with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chisquare random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chisquare random variables.

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

Analytic study
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study

Attribute
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.

Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.

Chance cause
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.

Chisquare (or chisquared) 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.

Chisquare test
Any test of signiicance based on the chisquare distribution. The most common chisquare tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data

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.

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

Control limits
See Control chart.

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.

Error of estimation
The difference between an estimated value and the true value.

Error propagation
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.

Exponential random variable
A series of tests in which changes are made to the system under study

Ftest
Any test of signiicance involving the F distribution. The most common Ftests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.

Forward selection
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

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

Generating function
A function that is used to determine properties of the probability distribution of a random variable. See Momentgenerating function

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.