Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Textbook Question
Chapter 21, Problem 7CR
To construct a pie chart, we multiply each component’s percent by _____degrees to determine how many degrees of the circle each component’s slice will be. (21-4)
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Students have asked these similar questions
Module Code: MATH380202
3. (a) Let {} be a white noise process with variance σ2.
Define an ARMA(p,q) process {X} in terms of {+} and state (without proof)
conditions for {X} to be (i) weakly stationary and (ii) invertible.
Define what is meant by an ARIMA (p, d, q) process. Let {Y} be such an ARIMA(p, d, q)
process and show how it can also be represented as an ARMA process, giving the
AR and MA orders of this representation.
(b) The following tables show the first nine sample autocorrelations and partial auto-
correlations of X and Y₁ = VX+ for a series of n = 1095 observations. (Notice
that the notation in this part has no relationship with the notation in part (a) of
this question.)
Identify a model for this time series and obtain preliminary estimates for the pa-
rameters of your model.
X₁
= 15.51, s² = 317.43.
k
1
2
3
4
5
6
7
Pk
0.981
0.974
0.968
akk 0.981 0.327
8
9
0.927
0.963 0.957 0.951 0.943 0.935
0.121 0.104 0.000 0.014 -0.067 -0.068 -0.012
Y₁ = VX : y = 0.03, s² = 11.48.
k
1…
Let G be a graph with n ≥ 2 vertices x1, x2, . . . , xn, and let A be the adjacency matrixof G. Prove that if G is connected, then every entry in the matrix A^n−1 + A^nis positive.
Module Code: MATH380202
1. (a) Define the terms "strongly stationary" and "weakly stationary".
Let {X} be a stochastic process defined for all t € Z. Assuming that {X+} is
weakly stationary, define the autocorrelation function (acf) Pk, for lag k.
What conditions must a process {X+) satisfy for it to be white noise?
(b) Let N(0, 1) for t€ Z, with the {+} being mutually independent. Which of
the following processes {X+} are weakly stationary for t> 0? Briefly justify your
answers.
i. Xt for all > 0.
ii. Xo~N(0,) and X₁ = 2X+-1+ &t for t > 0.
(c) Provide an expression for estimating the autocovariance function for a sample
X1,..., X believed to be from a weakly stationary process. How is the autocor-
relation function Pk then estimated, and a correlogram (or acf plot) constructed?
(d) Consider the weakly stationary stochastic process ✗+ = + + +-1+ +-2 where
{E} is a white noise process with variance 1. Compute the population autocorre-
lation function Pk for all k = 0, 1, ....
Chapter 21 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 21.I - Use Table 21-1 to answer the following questions...Ch. 21.I - Use Exhibits 21-1 and 21-2 to answer the following...Ch. 21.I - Prob. 3TIECh. 21.I - Prob. 4TIECh. 21.I - Prob. 5TIECh. 21.I - Prob. 6TIECh. 21.I - Prob. 7TIECh. 21.I - Prob. 8TIECh. 21.I - Prob. 9TIECh. 21.I - Prob. 10TIE
Ch. 21.I - Prob. 1RECh. 21.I - TABLE 21-1 Magnum Enterprises Six-Month Sales...Ch. 21.I - Prob. 3RECh. 21.I - Prob. 4RECh. 21.I - TABLE 21-1 Magnum Enterprises Six-Month Sales...Ch. 21.I - Prob. 6RECh. 21.I - Prob. 7RECh. 21.I - BUSINESS DECISION: CHOOSING A CHART
8. You have...Ch. 21.II - Prob. 11TIECh. 21.II - Prob. 12TIECh. 21.II - Prob. 13TIECh. 21.II - Prob. 14TIECh. 21.II - Prob. 15TIECh. 21.II - Prob. 1RECh. 21.II - Prob. 2RECh. 21.II - Prob. 3RECh. 21.II - Prob. 4RECh. 21.II - Prob. 5RECh. 21.II - Prob. 6RECh. 21.II - Prob. 7RECh. 21.II - Prob. 8RECh. 21.II - Prob. 9RECh. 21.II - Prob. 10RECh. 21.II - Determine the mode of the following sets of...Ch. 21.II - Prob. 12RECh. 21.II - Prob. 13RECh. 21.II - Prob. 14RECh. 21.II - Prob. 15RECh. 21.II - Prob. 16RECh. 21.II - Prob. 17RECh. 21.II - The following numbers represent the gallons of...Ch. 21.II - You are the owner of The Dependable Delivery...Ch. 21.II - Prob. 20RECh. 21.III - Prob. 17TIECh. 21.III - Prob. 18TIECh. 21.III - Prob. 1RECh. 21.III - You are the sales manager of the Esquire...Ch. 21.III - Prob. 3RECh. 21.III - BUSINESS DECISION: RELATIVE FREQUENCY...Ch. 21 - 1. The systematic process of collecting,...Ch. 21 - 2. Statistical procedures that deal with the...Ch. 21 - A collection of related data arranged for ease of...Ch. 21 - Prob. 4CRCh. 21 - 5. The horizontal axis of a line chart is known as...Ch. 21 - Prob. 6CRCh. 21 - To construct a pie chart, we multiply each...Ch. 21 - Prob. 8CRCh. 21 - 9. The _______ is the midpoint value of a set of...Ch. 21 - Prob. 10CRCh. 21 - Prob. 11CRCh. 21 - Prob. 12CRCh. 21 - Prob. 13CRCh. 21 - Prob. 14CRCh. 21 - 1. The following data represent the monthly sales...Ch. 21 - Prob. 2ATCh. 21 - Prob. 3ATCh. 21 - You have just been hired as the quality control...Ch. 21 - 5. You are the human resource director for Apollo...
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