Concept explainers
Claims fraud (illegitimate claims) and buildup (exaggerated loss amounts) continue to be issue of concern among automobile insurance companies. Fraud is defined as specific material misrepresentation of the facts of a loss; buildup is defined as the inflation of an otherwise legitimate claim. A recent study examined auto injury claims closed with payment under private passenger coverages. Detailed data on injury, medical treatment, claimed losses, and total payments, as well as claim-handing techniques, were collected. In addition , auditors were asked to review the claim files to indicate whether specific elements of fraud of buildup appeared in the claim and, in the case of buildup to specify the amount of excess payment. The file InsuranceClaims contains data for 90 randomly selected auto injury claims. The following variables are included: CLAIM–Claim ID; BUILDUP–1 if buildup indicated, 0 if not; and EXCESSPAYMENT –excess payment amount, in dollars.
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- 4. A liability insurance policy has a deductible of $100,000, a policy limit of$20,000,000 and co-insurance such that the policyholder pays 20% of theremaining claim. How much does the insurer pay if the loss is: (i) $50,000(ii) $362,000(iii) $20,065,000(iv) $31,400,000arrow_forwardThe Bank of Canada is interested in studying the relationship between mortgage rates and median home prices. The data is provided below Median home price $183,800 $183,200 $174,900 $173,500 $172,900 $173,200 $173,200 $169,700 $174,500 $177,900 Year interest rate (%) 10.30 1988 1989 10.30 1990 10.10 1991 9.30 1992 8.40 1993 7.30 1994 8.40 1995 7.90 1996 7.60 1997 7.60 $188,100 $203,200 $230,200 $258,200 1998 6.90 1999 7.40 2000 8.10 2001 7.00 $309,800 $329,800 $431.000 2002 6.50 2003 5.80 2004 5.80 $515,000 $537,000 2005 5.80 2006 6.40 2007 6.30 $496,000 $352,000 $232,000 $291.700 $262,900 2008 6.00 2009 5.00 2010 4.70 2011 4.40 $299,200 $321,200 $373,500 $358,100 $382,500 $402,900 2012 3.60 2013 4.00 2014 4.10 2015 3.80 2016 3.60 2017 4.00 a) Estimate a simple linear regression model and find the value of the parameters for the estimation of morteaze rates and the median home price. b) Interpret the intercept and the slope coefficient: c) State the comelation coefficient and the…arrow_forwardThe Bank of Canada is interested in studying the relationship between mortgage rates and median home prices. The data is provided below Median home price $183,800 $183,200 $174,900 $173,500 $172,900 $173,200 $173,200 $169,700 $174,500 $177,900 Year interest rate (%) 10.30 1988 1989 10.30 1990 10.10 1991 9.30 1992 8.40 1993 7.30 1994 8.40 1995 7.90 1996 7.60 1997 7.60 $188,100 $203,200 $230,200 $258,200 1998 6.90 1999 7.40 2000 8.10 2001 7.00 $309,800 $329,800 $431.000 2002 6.50 2003 5.80 2004 5.80 $515,000 $537,000 2005 5.80 2006 6.40 2007 6.30 $496,000 $352,000 $232,000 $291.700 $262,900 2008 6.00 2009 5.00 2010 4.70 2011 4.40 $299,200 $321,200 $373,500 $358,100 $382,500 $402,900 2012 3.60 2013 4.00 2014 4.10 2015 3.80 2016 3.60 2017 4.00 d) Confirm the intercept, slope and correlation coefficient by computing them without SPSS e) At the 5% significance level, determine if the model is useful. In responding, construct and test any appropriate hypothesis.arrow_forward
- The Bank of Canada is interested in studying the relationship between mortgage rates and median home prices. The data is provided below interest rate (%) 10.30 Year Median home price S183,800 $183,200 1988 1989 10.30 1990 10.10 $174,900 1991 9.30 S173,500 $172,900 $173,200 1992 8.40 1993 7.30 1994 8.40 $173,200 S169,700 S174,500 1995 7.90 1996 7.60 1997 7.60 $177,900 $188,100 S203,200 $230,200 $258,200 S309,800 1998 6.90 1999 7.40 2000 8.10 2001 7.00 2002 6.50 2003 5.80 $329,800 2004 5.80 $431,000 2005 2006 2007 $515,000 $537,000 $496,000 5.80 6.40 6.30 2008 6.00 $352,000 $232,000 $291,700 $262,900 2009 5.00 2010 4.70 2011 4.40 2012 2013 3.60 $299,200 4.00 $321,200 $373,500 $358,100 $382,500 $402,900 2014 4.10 2015 3.80 2016 3.60 2017 4.00 a) Estimate a simple linear regression model and find the value of the parameters for the estimation of mortgage rates and the median home price. b) Interpret the intercept and the slope coefficients c) State the correlation coefficient and the…arrow_forward2. John has the following loss distribution for her medical expenses in the coming year. Medical expenses Probability $0 0.5 $500 0.3 $2,500 0.1 $10,000 0.1 a) If John has a medical expense policy with full insurance, how much would the insurer be expected to pay for the medical expenses? b) If John has a medical expense policy with $1,200 deductible, how much would the insurer be expected to pay for the medical expenses? c) if John has a medical expense policy with $1,000 deductible, a 30 percent coinsurance, and a $5,000 limit, how much would the insurer be expected to pay for the medical expenses?arrow_forwardThe Bank of Canada is interested in studying the relationship between mortgage rates and median home prices. The data is provided below Year interest rate (%) Median home price S183,800 $183,200 1988 10.30 1989 10.30 1990 10.10 S174,900 1991 9.30 S173,500 1992 8.40 $172,900 1993 7.30 $173,200 1994 8.40 $173,200 S169,700 S174,500 Ineed 1995 7.90 1996 7.60 help with 1997 7.60 $177,900 1998 6.90 $188,100 1999 $203,200 $230,200 7.40 2000 8.10 parts 2001 7.00 $258,200 2002 2003 S309,800 $329,800 6.50 5.80 2004 5.80 $431,000 () $515,000 $537,000 $496,000 2005 5.80 2006 6.40 2007 6.30 2008 6.00 $352,000 2009 5.00 $232,000 2010 $291,700 $262,900 $299,200 4.70 2011 4.40 2012 2013 3.60 4.00 $321,200 $373,500 $358,100 $382,500 $402,900 2014 4.10 2015 2016 3.80 3.60 4.00 2017 a) Estimate a simple linear regression model and find the value of the parameters for the estimation of mortgage rates and the median home price. b) Interpret the intercept and the slope coefficients c) State the correlation…arrow_forward
- Federated South Insurance Company has developed a new screening program for selecting new sales agents. Their past experience indicates that 20% of the new agents hired fail to produce the minimum sales in their first year and are dismissed. Their ex- pectation is that this new screening program will reduce the percentage of failed new agents to 15% or less. If that occurs, they would save $1,000,000 in recruiting and training costs each year. At the end of the first year they want to develop an evaluation to determine if the new program is successful. The following questions are an important part of their re- search design.A total of 20 new agents were selected.a. If this group performs at the same level as past groups, what is the probability 17 or more success- fully meet their minimum sales goals in the first year?b. What is the probability 19 or more reach their min- imum sales goals given performance at the same level?c. If the program has actually increased the prob- ability of…arrow_forwardPlease help me with the question belowarrow_forwardAre the following answers correct? Question: The American Association of Individual Investors (AAII) On-Line Discount Broker Survey polls members on their experiences with electronic trades handled by discount brokers. As part of the survey, members were asked to rate their satisfaction with the trade price and the speed of execution, as well as provide an overall satisfaction rating. Possible responses (scores) were no opinion (0), unsatisfied (1), somewhat satisfied (2), satisfied (3), and very satisfied (4). For each broker, summary scores were computed by computing a weighted average of the scores provided by each respondent. A portion the survey results follow (AAII web site, February 7, 2012). Brokerage Satisfaction withTrade Price Satisfaction withSpeed of Execution Overall Satisfaction withElectronic Trades Scottrade, Inc. 3.4 3.4 3.5 Charles Schwab 3.2 3.3 3.4 Fidelity Brokerage Services 3.1 3.4 3.9 TD Ameritrade 2.9 3.6 3.7 E*Trade Financial 2.9 3.2 2.9 (Not…arrow_forward
- The Majoring in Money study by Sallie Mae from December 2015 showed that most college students manage their credit cards in a reasonable way. It showed that almost two-thirds of students pay their credit card balance in full every month and 25% of students who own credit cards make partial payments that exceed the minimum amount due. You are curious to find out if credit card payment behavior of students has changed since 2015 and collect data from a random sample of 370 students. You find that 71 students are making partial payments on their credit cards that exceed the minimum amount due. Using α=0.01, complete parts a and b below.arrow_forwardThe following data were taken from Miller Company's balance sheet: Dec. 31, Year 2 Dec. 31, Year 1 Total liabilities $150,000 $105,000 Total stockholders' equity 75,000 60,000 a. Compute the ratio of liabilities to stockholders' equity. Round your answers to one decimal place. Liabilities toStockholders' Equity 12/31/Year 2: fill in the blank 1 12/31/Year 1: fill in the blank 2 b. Has the creditors' risk increased or decreased from December 31, Year 1, to December 31, Year 2?arrow_forwardSuppose a mutual fund has a portfolio of stocks that have a market value of $10.75 billion and the company has 900 million shares of stock. What is the net asset value (in dollars) of a share of the mutual fund?arrow_forward
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