The department of health studied the number of patients who need liver transplantation. The folloving data are the Liver Transplantation Waiting List (LTWL), where y is the size (in number of patients) and x is the corresponding year y 1407 1844 3080 4068 5084 7094 7859 7779 | 8013 8725 | 8646 8836 9260 x| 2002 2003 2004 2005 2006| 2007 2008 2009 2010 2011 2012 2013 2014 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 o. Round your answer to the nearest integer (e.g. 9876). a = [ (b) How does the LTWL size change in average for a year? Round your answer to the nearest integer (e.g. 9876). B, = (c) Estimate the number of patients in the list in 2018.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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