Exercise 2.18

Using the data from Exercise 2.16,

(a) Calculate (ΣY)^2 and ΣY^2

(ΣY)^2 = 14.63^2 = 214.0369

ΣY^2 = (1.73^2 + 1.06^2 + 2.03^2 + 1.40^2 + 0.95^2 + 1.13^2 + 1.41^2 + 1.73^2 + 1.63^2 + 1.56^2) = 22.4483

(b) Given the answers to (a), calculate ΣY^2 - (ΣY)^2/N divide by N-1

22.4483 - 214.0369/10 divide by 10-1 = 20.07011222

(c) Calculate the square root of the answer to (b). (You will come across these calculations again in Chapter 5.)

20.07011222^2 = 402.8094046

Exercise 2.16

With reference to Exercise 2.15, the data for the Eyes Elevated condition are 1.73, 1.06, 2.03, 1.40, 0.95, 1.13, 1.41, 1.73, 1.63, 1.56

Using Y for this variable,

(a) What are Y1 and Y10?

Y1 = 1.73, Y10 = 1.56

(b) Calculate ΣY

ΣY = (1.73 + 1.06 + 2.03 + 1.40 + 0.95 + 1.13 + 1.41 + 1.73 + 1.63 + 1.56) = 14.63

did i do the problem correctly? i have included Exercise 2.16 for Exercise 2.18