# Answered Essay: .00. You are required to build a polynomial model of this and determine the coeffici

(c) The following data shows the number of people expected in a coffee shop between the hours 09.00-18.00. You are required to build a polynomial model of this and determine the coefficients that can be used to predict a value of y, given an input value x. Assume that the degree of the polynomial is 5, and y is already in the MATLAB workspace (i.e. x needs to be generated).

Code:

%Define a function

function [p, yf] = Mypolyfit (x, y, n)

%If arguments not equals 3

if (nargin != 3)

%Display

usage (“polyfit (x, y, n)”);

%End

endif

%If x and y not in proper format

if (! (isvector (x) && isvector (y) && size (x) == size (y)))

%Display message

error (“Error!!!”);

%End

endif

%If n not in proper format

if (! (isscalar (n) && n >= 0 && ! isinf (n) && n == round (n)))

%Error

error (“Error!!!”);

%End

endif

%Check

y_is_row_vector = (rows (y) == 1);

%Compute length

l = length (x);

%Reshape

x = reshape (x, l, 1);

%Reshape

y = reshape (y, l, 1);

%Define X

X = (x * ones (1, n+1)) .^ (ones (l, 1) * (0 : n));

%Compute value

p = X y;

%If value is 2

if (nargout == 2)

%Compute value

yf = X * p;

%If value is true

if (y_is_row_vector)

%Assign value

yf = yf.’;

%End

endif

%End

endif

%Compute value

p = flipud (p);

%If condition matches

if (y_is_row_vector && rows (x) == 1)

%Assign value

p = p’;

%End

endif

%End

endfunction

%Define x values

x = [9 10 11 12 13 14 15 16 17 18];

%Define y values

y = [20 25 30 40 80 75 35 10 20 60];

%Display message

disp(‘The coefficients of polynomial are ‘)

%Call method

Mypolyfit(x,y,5)

Pages (550 words)
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