If Σx = Σy = 12, Σx² = Σy² = 45, Σxy = 41 and n = 5, then what is the value of byx (regression coefficient)?
Show answerHide answer
Correct answer: (B) 61/81
Explanation
byx = (nΣxy − ΣxΣy) / (nΣy² − (Σy)²) = (5×41 − 12×12) / (5×45 − 144) = (205 − 144) / (225 − 144) = 61/81. Since Σx² = Σy², both denominators give the same value.