Please use python code only. $6\mathrm{.}62$ The display below summarizes the results of analyzing a $2^4$ factorial design.

$\backslash$table$[[\backslash$table$[[$Term$],[$Intercept$]],\backslash$table$[[$Effect$],[$Estimate$]],\backslash$table$[[$Sum of$],[$Squares$]],\%$ Contribution$],[A,,6\mathrm{.}25,3\mathrm{.}25945],[B,5\mathrm{.}25,110\mathrm{.}25,57\mathrm{.}4967],[C,3\mathrm{.}5,49,25\mathrm{.}5541],[D,0\mathrm{.}75,,1\mathrm{.}1734],[AB,0\mathrm{.}75,2\mathrm{.}25,1\mathrm{.}1734],[AC,-0\mathrm{.}5,1,0\mathrm{.}521512],[AD,0\mathrm{.}75,2\mathrm{.}25,1\mathrm{.}1734],[BC,1\mathrm{.}5,9,],[BD,0\mathrm{.}25,0\mathrm{.}25,0\mathrm{.}130378],[CD,0\mathrm{.}5,1,0\mathrm{.}521512],[ABC,-1,4,2\mathrm{.}08605],[ABD,,2\mathrm{.}25,1\mathrm{.}1734],[ACD,-0\mathrm{.}5,,0\mathrm{.}521512],[BCD,0,0,0],[ABCD,-0\mathrm{.}5,1,],[,,,]]$

$($a$)$ Fill in the missing information in this table.

$($b$)$ Construct a normal probability plot of the effects. Which factors seem to be active?