Statistical Techniques in Business and Economics, 16th Edition
16th Edition
ISBN: 9780078020520
Author: Douglas A. Lind, William G Marchal, Samuel A. Wathen
Publisher: McGraw-Hill Education
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Chapter 18, Problem 3E
To determine
Obtain the least squares equation.
Compute the estimated number of rentals for 2014.
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PEER REPLY 1:
Choose a classmate's Main Post and review their decision making process.
1. Choose a risk level for each of the states of nature (assign a probability
value to each).
2. Explain why each risk level is chosen.
3. Which alternative do you believe would be the best based on the maximum
EMV?
4. Do you feel determining the expected value with perfect information
(EVWPI) is worthwhile in this situation? Why or why not?
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.
You are provided with data that includes all 50 states of the United States. Your task is to draw a sample of: o 20 States using Random Sampling (2 points: 1 for random number generation; 1 for random sample) o 10 States using Systematic Sampling (4 points: 1 for random numbers generation; 1 for random sample different from the previous answer; 1 for correct K value calculation table; 1 for correct sample drawn by using systematic sampling) (For systematic sampling, do not use the original data directly. Instead, first randomize the data, and then use the randomized dataset to draw your sample. Furthermore, do not use the random list previously generated, instead, generate a new random sample for this part. For more details, please see the snapshot provided at the end.) Upload a Microsoft Excel file with two separate sheets. One sheet provides random sampling while the other provides systematic sampling. Excel snapshots that can help you in organizing columns are provided on the next…
Chapter 18 Solutions
Statistical Techniques in Business and Economics, 16th Edition
Ch. 18 - Prob. 1SRCh. 18 - Calculate a four-quarter weighted moving average...Ch. 18 - Prob. 2ECh. 18 - Prob. 2SRCh. 18 - Prob. 3ECh. 18 - Prob. 4ECh. 18 - Prob. 5ECh. 18 - Prob. 6ECh. 18 - Sales at Tomlin Manufacturing from 2009 to 2013...Ch. 18 - Prob. 7E
Ch. 18 - Prob. 8ECh. 18 - Prob. 4SRCh. 18 - Prob. 9ECh. 18 - Prob. 10ECh. 18 - Prob. 5SRCh. 18 - Prob. 11ECh. 18 - Prob. 12ECh. 18 - Refer to Exercise 9 regarding the absences at...Ch. 18 - Prob. 14ECh. 18 - Prob. 15ECh. 18 - Prob. 16ECh. 18 - Prob. 17CECh. 18 - Prob. 18CECh. 18 - Prob. 19CECh. 18 - Prob. 20CECh. 18 - Prob. 21CECh. 18 - Prob. 22CECh. 18 - Prob. 23CECh. 18 - Prob. 24CECh. 18 - Prob. 25CECh. 18 - Prob. 26CECh. 18 - Prob. 27CECh. 18 - The quarterly production of pine lumber, in...Ch. 18 - Prob. 29CECh. 18 - Sales of roof material, by quarter, for 2007...Ch. 18 - Blueberry Farms Golf and Fish Club of Hilton Head,...Ch. 18 - Prob. 32CECh. 18 - Ray Anderson, owner of Anderson Ski Lodge in...Ch. 18 - Prob. 34CECh. 18 - Prob. 35CECh. 18 - Prob. 36CECh. 18 - Consider the variable mean amount per transaction...Ch. 18 - Prob. 38CECh. 18 - Prob. 39DECh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 1.1PTCh. 18 - Prob. 1.2PTCh. 18 - Prob. 1.3PTCh. 18 - Prob. 1.4PTCh. 18 - Prob. 1.5PTCh. 18 - Prob. 1.6PTCh. 18 - Prob. 1.7PTCh. 18 - Prob. 1.8PTCh. 18 - Prob. 1.9PTCh. 18 - Prob. 1.10PTCh. 18 - Prob. 2.1PTCh. 18 - Listed below are the price and quantity of several...Ch. 18 - Prob. 2.3PT
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- The following relates to Problems 4 and 5. Christchurch, New Zealand experienced a major earthquake on February 22, 2011. It destroyed 100,000 homes. Data were collected on a sample of 300 damaged homes. These data are saved in the file called CIEG315 Homework 4 data.xlsx, which is available on Canvas under Files. A subset of the data is shown in the accompanying table. Two of the variables are qualitative in nature: Wall construction and roof construction. Two of the variables are quantitative: (1) Peak ground acceleration (PGA), a measure of the intensity of ground shaking that the home experienced in the earthquake (in units of acceleration of gravity, g); (2) Damage, which indicates the amount of damage experienced in the earthquake in New Zealand dollars; and (3) Building value, the pre-earthquake value of the home in New Zealand dollars. PGA (g) Damage (NZ$) Building Value (NZ$) Wall Construction Roof Construction Property ID 1 0.645 2 0.101 141,416 2,826 253,000 B 305,000 B T 3…arrow_forwardRose Par posted Apr 5, 2025 9:01 PM Subscribe To: Store Owner From: Rose Par, Manager Subject: Decision About Selling Custom Flower Bouquets Date: April 5, 2025 Our shop, which prides itself on selling handmade gifts and cultural items, has recently received inquiries from customers about the availability of fresh flower bouquets for special occasions. This has prompted me to consider whether we should introduce custom flower bouquets in our shop. We need to decide whether to start offering this new product. There are three options: provide a complete selection of custom bouquets for events like birthdays and anniversaries, start small with just a few ready-made flower arrangements, or do not add flowers. There are also three possible outcomes. First, we might see high demand, and the bouquets could sell quickly. Second, we might have medium demand, with a few sold each week. Third, there might be low demand, and the flowers may not sell well, possibly going to waste. These outcomes…arrow_forwardConsider the state space model X₁ = §Xt−1 + Wt, Yt = AX+Vt, where Xt Є R4 and Y E R². Suppose we know the covariance matrices for Wt and Vt. How many unknown parameters are there in the model?arrow_forward
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