Consider the following production data.

$\backslash$table$[[$Items Produced,$],[,$First Shift $(7$ AM$-3$ PM$),$Second Shift $(3$ PM$-11$ PM$),$Third Shift $(11$ PM$-7$ AM$)],[\frac{12}{1},151,204,89],[\frac{12}{2},169,163,143],[\frac{12}{3},148,202,106],[\frac{12}{4},193,168,96],[\frac{12}{5},140,182,94],[\frac{12}{6},188,226,97],[\frac{12}{7},143,235,122],[\frac{12}{8},159,239,99],[\frac{12}{9},161,228,123]]$

What is the value for the degrees of freedom for the total sum of squares?