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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The 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 coefficient of determination. Interpret the
coefficient of determination

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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…
The Bank of Canada is interested in studying the relationship between mortgage rates and medianhome prices. The data is provided belowYear interest rate (%) Median home price1988 10.30 $183,8001989 10.30 $183,2001990 10.10 $174,9001991 9.30 $173,5001992 8.40 $172,9001993 7.30 $173,2001994 8.40 $173,2001995 7.90 $169,7001996 7.60 $174,5001997 7.60 $177,9001998 6.90 $188,1001999 7.40 $203,2002000 8.10 $230,2002001 7.00 $258,2002002 6.50 $309,8002003 5.80 $329,8002004 5.80 $431,0002005 5.80 $515,0002006 6.40 $537,0002007 6.30 $496,0002008 6.00 $352,0002009 5.00 $232,0002010 4.70 $291,7002011 4.40 $262,9002012 3.60 $299,2002013 4.00 $321,2002014 4.10 $373,5002015 3.80 $358,1002016 3.60 $382,5002017 4.00 $402,900a) Estimate a simple linear regression model and find the value of the parameters for theestimation of mortgage rates and the median home price. All JASP input files and outputtables should be provided. Interpret the intercept and the slope coefficientsb) State the correlation…
The 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…
The 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…
The 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…
The 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.
Suppose the table below gives the average tuition and fees at 2-year and 4-year state schools in a particular state. Values are adjusted to 2019 dollars. Academic Year 4-year state school 2-year state school 2005-06 $5,904 $2,661 2006-07 $6,066 $2,539 2007-08 $6,289 $2,604 2008-09 $7,222 $2,901 2009-10 $7,738 $3,065 2010-11 $8,035 $3,117 2011-12 $8,154 $3,108 2012-13 $8,497 $3,075 2013-14 $8,578 $3,025 2014-15 $9,390 $3,326 2015-16 $10,004 $3,504 2016-17 $10,474 $3,663 2017-18 $10,789 $3,830 2018-19 $10,874 $3,859 2019-20 $10,900 $3,907 Here is a graph of the information from the table. a. What is the absolute change in tuition and fees at this state's four-year institutions from 2005-06 to 2019-20? b. What is the relative change in tuition and fees at this state's four-year institutions from 2005-06 to 2019-20? Round to the nearest whole percentage…
Kim 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 $329,800 2004 5.80…
2. This table shows the mean and median total cash income for married-couple households (including wages, public assistance, interest/dividends, Social Security, pensions, etc.), by race and Hispanic origin. a apaa Median Household Mean Household Income ($) Income ($) Asian 110,453 78,010 66,893 110,138 145,948 Black 97,667 Hispanic White, non-Hispanic 88,450 129,142 a. Pick one group and interpret the median and the mean. b. For each group, how do the mean and the median compare? Explain why you think this must be the case.
In 2011 home prices and mortgage rates dropped so low that in a number of cities the monthly cost of owning a home was less expensive than renting. The following data show the average asking rent for 10 markets and the monthly mortgage on the median priced home (including taxes and insurance) for 10 cities where the average monthly mortgage payment was less than the average asking rent (The Wall Street Journal, November 26–27, 2011).Click on the datafile logo to reference the data. Enter negative values as negative numbers. a. Develop the estimated regression equation that can be used to predict the monthly mortgage given the average asking rent (to 2 decimals).The regression equation is:Mortgage ($) = + Rent ($)
Kim 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…
Bartman Industries' and Reynolds Inc.'s stock prices and dividends, along with the Winslow 5000 Index, are shown here for the period 2015-2020. The Winslow 5000 data are adjusted to include dividends. Data as given in the problem are shown below: Bartman Industries Reynolds Inc. Winslow 5000 Year Stock Price Dividend Holding period return Stock Price Dividend Holding period return Includes Divs. Holding period return 2020 $17.25 $1.15 24.75% $48.75 $3.00 -1.05% 11,663.98 32.76% 2019 14.75 1.06 -4.18% 52.30 2.90 13.23% 8,785.70 1.22% 2018 16.50 1.00 62.79% 48.75 2.75 -10.04% 8,679.98 34.91% 2017 10.75 0.95 2.90% 57.25 2.50 -0.42% 6,434.03 14.85% 2016 11.37 0.90 61.02% 60.00 2.25 11.66% 5,602.28 19.05% 2015 7.62 55.75 4,705.97 Assume the risk-free rate on long-term Treasury bonds is 6.04%. Assume also that the average annual return on the Winslow 5000 is 11% as the expected return on the market. Use the SML equation (i.e., CAPM) to…

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