Question

2. The following statistics are useful in subsequent analysis. Find them. (15 pts.) • η = • Σα = Σ] = y = Σy? Σry = (Σα)2 = (Σy)2 = • SS.α • SSxy • SSyy

Answer 1

The values required are -

n	8
Sum(x)	20.5
Sum(y)	108
Mean(Mx)	2.5625
Mean(My)	13.5
Sum(x**2)	59.75
Sum(y**2)	1738
Sum(XY)	320.5
(Σx)**2	420.25
(Σy)**2	11664
SSx	7.21875
SSy	280
SSxy	43.75

1.

Dosage vs decrease in pulse rate 25 20 15 Decrease in pulse rate 10 5 0 0 0.5 1 1.5 2 2.5 00 3.5 4 in Dosage

There is a positive linear relationship between the two variables.

J K L M N x*y A B с D 1 Patient Dosage(x)Decrease in pulse rate(y) x**2 2 1 2 12 4 3 2 4 20 16 4. 3 1.5 6 2.25 5 4 1 3 1 6 5 3 16 9 7 6 3.5 20 12.25 8 7 2.5 13 6.25 9 8 3 18 9 10 E y**2 144 400 36 9 256 400 F G H (X-Mx)** 2 (Y-My)**2 (X-Mx)(Y-My) 24 0.3164063 2.25 0.84375 80 2.0664063 42.25 9.34375 9 1.1289063 56.25 7.96875 3 2.4414063 110.25 16.40625 48 0.1914063 6.25 1.09375 70 0.8789063 42.25 6.09375 32.5 0.0039063 0.25 0.03125 54 0.1914063 20.25 1.96875 n 169 324 Sum(x) Sum(y) Mean(Mx) Mean(My) Sum(x**2) Sum(y**2) Sum(xy) (2x)**2 (Sy)**2 SSX Ssy SSxy 8 20.5 SUM(B2:39) 108 SUM(C2:09) 2.5625 AVERAGE(B2:39) 13.5 AVERAGE(C2:09) 59.75 SUM(D2:09) 1738 SUM(E2:E9) 320.5 SUM(F2:F9) 420.25 M6*M6 11664 M7*M7 7.21875 SUM(G2:69) 280 SUM(H2:H9) 43.75 SUM(12:19) 12 13 14 15 16 17 18