Question

Using the table below, suppose that the regression can be written as Y = a + bX. Find a and b using least squares method. 10 5 6 16 20 14 20 18 34 17

Answer 1

x2 yz 50 25 100 96 256 280 196 400 3 bo 324 400 34 578 289 1156 5x = 60 Ey=100 EXY = 1364 TE x² 870 Ey² 2312 Noox becera flucts Give Y= at by The formula fore a and b is a= ({y) (8x2) - (Ex) (Eny) (sx?) - sxyz be nézy) – Ex(Ey) n({x') - (Ex) Here the sample size, n=5 and putting the values we get ar (100) (870) – 60).(1364) 5 (870) - 16082 87000 - 81840 6.88 b= 5(1364) - 160) (100) 750 750 = 1.093 Inseriting the role in the equation we get Y = 6.88 + 1.099X