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- function yhat=spence15(y)
- % function for Spencer's 15-point graduation rule.
- % set out following Spencer's hand-calculation method,
- % which isn't the shortest computer program!
- osev = ones(7,1);
- n = length(y);
- y = [ osev*y(1); y; osev*y(n) ];
- n = length(y);
- k = 3:(n-2);
- a3 = y(k-1) + y(k) + y(k+1);
- a2 = y(k-2) + y(k+2);
- y1 = y(k)+3*(a3-a2);
- n = length(y1);
- k = 1:(n-3);
- y2 = y1(k)+y1(k+1)+y1(k+2)+y1(k+3);
- n = length(y2);
- k = 1:(n-3);
- y3 = y2(k)+y2(k+1)+y2(k+2)+y2(k+3);
- n = length(y3);
- k = 1:(n-4);
- y4 = y3(k)+y3(k+1)+y3(k+2)+y3(k+3)+y3(k+4);
- yhat = y4/320;
- return;
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