Question

(1) derive a legal sentence.

expr −→ term | expr add op term

term −→ factor | term mult op factor

factor −→ id | number | - factor | ( expr )

add op −→ + | - mult

op −→ * | /

Answer #1

Given the grammar
<expr> -> <term> {( + | - ) <term>}
<term> -> <factor> {( * | / ) <factor>}
<factor> -> <exp> { ** <exp>}
<exp> -> (<expr>) | <id>
<id> = (A | B | C | D | E)
leftmost derivation of
A**B + (B * C)

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Total number of subjects = 36 (3 in each cell)
Number of columns (factor 1) = 3
Number of rows (factor 2) = 4
Total sum of squares = 40
Sum of squares between cells = 16
Sum of squares for factor 1 = 10
Sum of squares for factor 2 = 4
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Total number of subjects = 36 (3 in each cell)
Number of columns (factor 1) = 3
Number of rows (factor 2) = 4
Total sum of squares = 40
Sum of squares between cells = 16
Sum of squares for factor 1 = 10
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