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) (Note: The coded solution should not use the MATLAB function polyfitfxy,n) x9 10111213 14 1516 17 18 y20253040 80753510 20 60

(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).

Expert Answer

 

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)

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