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.
a. Construct a
b. Construct a
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EBK BASIC BUSINESS STATISTICS
- 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_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
- ….……………….……………………... ..………..….. In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs. The sales rate (discs sold per day) on day t of the sale is predicted to be 70/t (for t≥ 1), where t = 1 corresponds to the beginning of the sale, at which time none of the inventory of 200 discs had been sold. (a) Find a formula for the total number of discs sold up to day t. C(t) = (b) Will the store have sold its inventory of 200 discs by day t = 70? Yes O Noarrow_forwardThe table below shows a recent state income tax schedule for individuals filing a return. SINGLE, HEAD OF HOUSEHOLD,OR MARRIED FILING SEPARATE SINGLE, HEAD OF HOUSEHOLD,OR MARRIED FILING SEPARATE If taxable income is Over But Not Over Tax Due Is $0 $15,000 $30,000 $15,000 $30,000 2.5% of taxable income $375 plus 6.3% of excess over $15,000 $1320.00 plus 6.65% of excess over $30,000. a. Write a piecewise definition for the tax due T(x) on an income of x dollars. if 0sxs 15,000 T(x) = if 15,000arrow_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_forwardwhat is the gross profit margin on the coffee tales described in question 1 abovearrow_forwardCanton Supplies, Inc., is a service firm that employs approximately 100 people. Because of the necessity of meeting monthly cash obligations, the chief financial officer wants to develop a forecast of monthly cash requirements. Because of a recent change in equipment and operating policy, only the past seven months of data are considered relevant. The change in operations has had a great impact on cash flow. What forecasting model do you recommend?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 1988 10.30 $183,800 1989 10.30 $183,200 1990 10.10 $174,900 1991 9.30 $173,500 1992 8.40 $172,900 1993 7.30 $173,200 1994 8.40 $173,200 1995 7.90 $169,700 1996 7.60 $174,500 1997 7.60 $177,900 1998 6.90 $188,100 1999 7.40 $203,200 2000 8.10 $230,200 2001 7.00 $258,200 2002 6.50 $309,800 2003 5.80 $329,800 2004 5.80 $431,000 2005 5.80 $515,000 2006 6.40 $537,000 2007 6.30 $496,000 2008 6.00 $352,000 2009 5.00 $232,000 2010 4.70 $291,700 2011 4.40 $262,900 2012 3.60 $299,200 2013 4.00 $321,200 2014 4.10 $373,500 2015 3.80 $358,100 2016 3.60 $382,500 2017 4.00 $402,900…arrow_forwardThe table below shows a recent state income tax schedule for individuals filing a return. SINGLE, HEAD OF HOUSEHOLD, OR MARRIED FILING SEPARATE SINGLE, HEAD OF HOUSEHOLD, OR MARRIED FILING SEPARATE If taxable income is Over But Not Over Tax Due Is $0 4% of taxable income $15,000 $30,000 $15,000 $600 plus 5.6% of excess over $15,000 $1440.00 plus 6.65% of excess over $30,000. $30,000 a. Write a piecewise definition for the tax due T(x) on an income of x dollars. if 0 ≤x≤ 15,000 T(x)= if 15,000 < x≤ 30,000 if 30,000arrow_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_forward2b) Explain the differences between life insurance and general or non-life insurance.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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