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: 1339 1877 2978 3961 5046 7103 7932 7882 8028 8763 8755 8939 9203 x 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 y Round your intermediate answers to four decimal places (e.g. 98.7654). (a) Fit the simple linear regression model using the method of least squares. Find the estimate of o². Round your answer to the nearest integer (e.g. 9876). i (b) How does the LTWL size change in average for a year? Round your answer to the nearest integer (e.g. 9876). i (c) Estimate the number of patients in the list in 2014.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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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:
1339 1877 2978 3961 5046 7103 7932 7882 8028 8763 8755 8939 9203
x 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012
y
Round your intermediate answers to four decimal places (e.g. 98.7654).
(a) Fit the simple linear regression model using the method of least squares. Find the estimate of o².
Round your answer to the nearest integer (e.g. 9876).
i
=
(b) How does the LTWL size change in average for a year?
Round your answer to the nearest integer (e.g. 9876).
B₁:
= i
(c) Estimate the number of patients in the list in 2014.
Transcribed Image Text: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: 1339 1877 2978 3961 5046 7103 7932 7882 8028 8763 8755 8939 9203 x 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 y Round your intermediate answers to four decimal places (e.g. 98.7654). (a) Fit the simple linear regression model using the method of least squares. Find the estimate of o². Round your answer to the nearest integer (e.g. 9876). i = (b) How does the LTWL size change in average for a year? Round your answer to the nearest integer (e.g. 9876). B₁: = i (c) Estimate the number of patients in the list in 2014.
(b) How does the LTWL size change in average for a year?
Round your answer to the nearest integer (e.g. 9876).
= i
B₁
(c) Estimate the number of patients in the list in 2014.
y = i
(d) Calculate the fitted value of y corresponding to x = 2011. Find the corresponding residual.
Round your answer to the nearest integer (e.g. 9876).
=
Round your answer to the nearest integer (e.g. 9876).
e = i
Transcribed Image Text:(b) How does the LTWL size change in average for a year? Round your answer to the nearest integer (e.g. 9876). = i B₁ (c) Estimate the number of patients in the list in 2014. y = i (d) Calculate the fitted value of y corresponding to x = 2011. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876). = Round your answer to the nearest integer (e.g. 9876). e = i
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