The global mean sea level variations taken from satellite observations in the month of May are given in the table below. The variations are calculated using the base May 1997. for example, the mean sea level in May 2008 was 34.37 mm higher than in May 1997. Find the linear model for the data and use it to predict the change in sea level for the year in 2017.

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The global mean sea level variations taken from satellite observations in the month of May are given in the table below. The variations are calculated using the base May 1997. for example, the mean sea level in May 2008 was 34.37 mm higher than in May 1997. Find the linear model for the data and use it to predict the change in sea level for the year in 2017.

year  1997 1999 2001 2005 2008 2012 2014
Sea level change (mm) 0 4.77 15.25 30.75 34.37 47.84 54.13

A)what method will you use to find the model, polynomial interolation or least squares, why?

b) write the equation that must be used to find the model and then write the system of equations. 

c) wirte the vandermonde matrix and the other matrices that must be used. 

e) write the MatLab formula to find the model. 

f) wirte the cubic model(find the values using MatLab)

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