Business Analytics
3rd Edition
ISBN: 9780135231678
Author: Evans, James R. (james Robert)
Publisher: PEARSON EDUCATION (COLLEGE)
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Textbook Question
Chapter 1, Problem 5.5CYU
Explain the importance of assumptions in building decision models.
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Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
To help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012).
Brand & Model
Price ($)
Overall Score
Samsung Ultrabook NP900X3C-A01US
1250
83
Apple MacBook Air MC965LL/A
1300
83
Apple MacBook Air MD231LL/A
1200
82
HP ENVY 13-2050nr Spectre XT
950
79
Sony VAIO SVS13112FXB
800
77
Acer Aspire S5-391-9880 Ultrabook
1200
74
Apple MacBook Pro MD101LL/A
1200
74
Apple MacBook Pro MD313LL/A
1000
73
Dell Inspiron I13Z-6591SLV
700
67
Samsung NP535U3C-A01US
600
63
a. Select a scatter diagram with price as the independent variable.
b. What does the scatter diagram developed in part (a) indicate about the relationship…
To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow.
Adjusted Gross Income ($1000s)
Reasonable Amount ofItemized Deductions ($1000s)
22
9.6
27
9.6
32
10.1
48
11.1
65
13.5
85
17.7
120
25.5
Compute b1 and b0 (to 4 decimals).b1 b0 Complete the estimated regression equation (to 2 decimals). = + x
Predict a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand (to 2 decimals). thousand dollarsWhat is the value, in dollars, of…
Chapter 1 Solutions
Business Analytics
Ch. 1 - Explain why analytics is important in todays...Ch. 1 - Define business analytics.Ch. 1 - State three examples of how business analytics is...Ch. 1 - What are the key benefits of using business...Ch. 1 - What challenges do organizations face in using...Ch. 1 - Prob. 2.1CYUCh. 1 - How do statistical methods enhance business...Ch. 1 - What is operations research/management science?Ch. 1 - How does modern business analytics integrate...Ch. 1 - What are the components of a decision support...
Ch. 1 - Define prescriptive analytics and provide two...Ch. 1 - Define prescriptive analytics and provide two...Ch. 1 - Define prescriptive analytics and provide two...Ch. 1 - State three examples of how data are used in...Ch. 1 - How are data obtained from the Web used in...Ch. 1 - Define big data and list the four characteristics...Ch. 1 - Explain the concepts of data reliability and...Ch. 1 - Define a model and state three common forms of a...Ch. 1 - Prob. 5.2CYUCh. 1 - Prob. 5.3CYUCh. 1 - Define optimization and the characteristics of...Ch. 1 - Explain the importance of assumptions in building...Ch. 1 - What is the difference between uncertainty and...Ch. 1 - List the major phases of problem solving and...Ch. 1 - What lessons did Hewlett-Packard learn about using...Ch. 1 - For each of the following scenarios, state whether...Ch. 1 - Suppose that a manufacturer can produce a part for...Ch. 1 - Use the model developed in Example 1.5 to predict...Ch. 1 - A bank developed a model for predicting the...Ch. 1 - Four key marketing decision options are price (P),...Ch. 1 - Total marketing effort is a term used to describe...Ch. 1 - A manufacturer of headphones is preparing to set...Ch. 1 - PERFORMANCE LAWN EQUIPMENT In each chapter of this...Ch. 1 - Develop a spreadsheet for computing the demand for...Ch. 1 - The Excel file Science and Engineering Jobs shows...Ch. 1 - A new graduate has taken a job with an annual...Ch. 1 - Example 1.2 in the chapter described a scenario...Ch. 1 - Return on investment (ROI) is profit divided by...Ch. 1 - In the Accounting Professionals database, use...Ch. 1 - Prob. 7PEACh. 1 - Prob. 8PEACh. 1 - The worksheet Base Data in the Excel file Credit...Ch. 1 - The Excel file Store and Regional Sales Database...Ch. 1 - Define range names for all the data and model...Ch. 1 - Define range names for all the entities in the...Ch. 1 - Define range names for all the entities in the...
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