1. The department of health studied the number of patients who need liver transplantation. The following data are the Liver Transplantation Waiting List (LTWL), where y is the size (in number of patients) and x is the corresponding year: y 1319 1861 2980 4048 5065 7048 7935 7844 8081 8845 8731 8882 9350 x 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 (a) Fit the simple linear regression model using the method of least squares. Find the estimate of ². (b) How does the LTWL size change in average for a year? (c) Estimate the number of patients in the list in 2019. (d) Calculate the fitted value of y corresponding to x = 2013. Find the corresponding residual.
1. The department of health studied the number of patients who need liver transplantation. The following data are the Liver Transplantation Waiting List (LTWL), where y is the size (in number of patients) and x is the corresponding year: y 1319 1861 2980 4048 5065 7048 7935 7844 8081 8845 8731 8882 9350 x 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 (a) Fit the simple linear regression model using the method of least squares. Find the estimate of ². (b) How does the LTWL size change in average for a year? (c) Estimate the number of patients in the list in 2019. (d) Calculate the fitted value of y corresponding to x = 2013. Find the corresponding residual.
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
Transcribed Image Text:1. The department of health studied the number of patients who need liver
transplantation. The following data are the Liver Transplantation Waiting List (LTWL),
where y is the size (in number of patients) and x is the corresponding year:
y 1319 1861 2980 4048 5065 7048 7935 7844 8081 8845 8731 8882 9350
x 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016
(a) Fit the simple linear regression model using the method of least squares. Find the
estimate of ².
(b) How does the LTWL size change in average for a year?
(c) Estimate the number of patients in the list in 2019.
(d) Calculate the fitted value of y corresponding to x = 2013. Find the corresponding
residual.
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