Given the following layout:

$\backslash$table$[[$T$3,$T$5,$T$1,$T$4,$T$2],[10,12,20,15,18],[$T$5,$T$1,$T$4,$T$2,$T$3],[11,8,12,11,10],[$T$1,$T$4,$T$2,$T$3,$T$5],[12,11,18,20,25],[$T$4,$T$2,$T$3,$T$5,$T$1],[25,28,30,35,20],[$T$2,$T$3,$T$5,$T$1,]]$

$\backslash$table$[[11,8,12,11,10],[$T$1,$T$4,$T$2,$T$3,$T$5],[12,11,18,20,25],[$T$4,$T$2,$T$3,$T$5,$T$1],[25,28,30,35,20],[$T$2,$T$3,$T$5,$T$1,$T$4],[20,32,33,40,15]]$

a$.$ Identify the design of the above layout and write its linear statistical model for the response variable.

b$.$ Calculate the various sums of squares required for the above layout.

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