Fundamentals of Probability and Statistics for Engineers

(b)

(c)

11.3

11.7

11.9

11.11

11.13

Appendix C: Answers to Selected Problems 387

EfB^gˆ; varfB^gˆ^2

Xn

iˆ 1

x^2 i

! 1

;

c^2 ˆ^1

n 1

Xn

iˆ 1

…YiBx^i†^2

c (^2) ˆ^1
n
Xn
iˆ 1
YiA^Bx^i)^2 ,Efc^2 gˆ
n 2
n
^2 , hence biased.
14 : 98 ‡ 32 :14 log 10 v
a) ^ˆ 1 :486 and ^ˆ 0 :022, b)l 1 ˆ 0 :006, c) Not significantly dif-
ferent from zero
^ 0 ˆ 66 :18, ^ 1 ˆ 0 :42, ^ 2 ˆ 46 : 10
^ 0 ˆ 717 :18, ^ 1 ˆ 10 :84, ^ 2 ˆ 3 :78, ^ 3 ˆ 1 :57, ^ 4 ˆ 0 : 38