Confirm the accompanying summation properties: (a) 2 (x, a

tr.]

(b) =1

(Yi - 17) = (xi - i)Yi.

n (c) 2 (x, = (nE xiYi - xi 2 yYn. i=1

IJ (co E(xi i)2 = I (x, 1=1 i=1

(e)

[n x Jc,)20 - t= n

/rd.

Question 6

Underway stream shop issues, execution is regularly assessed by least make-length, the all out slipped by time from beginning the principal work on the main machine until the keep going position is finished on the last machine. For a specific stream shop the make-range was assessed regarding the quantity of tasks to be finished. Allow the autonomous variable X to mean the quantity of occupations and the needy variable V indicate the make-length (in normalized units):

Number of occupations (x) 4 5 6 7 8 9 Make-range (y) 3.75 4.90 4.88 7.2 7.3 9.1 10 II 12 13 14 15 9.0 11.9 11.5 14.1 13.9 17.5

(a) Gauge the straight relapse condition pn, = Po + P1X.

(b) Plot the assessed relapse condition.

Question 7

Underway stream shop issues, execution is frequently assessed by least make-length, the all out passed time from beginning the main occupation on the primary machine until the keep going position is finished on the last machine. For a specific stream shop the make-length was assessed as for the quantity of responsibilities to be finished. Allow the free factor X to indicate the quantity of occupations and the reliant variable Y mean the make-range (in normalized units):

Number of occupations (x) 4 5 6 7 8 9 Make-length (y) 3.75 4.90 4.88 7.2 7.3 9.1 10 11 12 13 14 15 9.0 11.9 11.5 14.1 13.9 17.5

(a) At x register a 95% certainty stretch for pyix, and verbally clarify the appropriate response.

(b) At x = 12, figure a 95% certainty stretch for pyix, and verbally clarify the appropriate response.

(c) How would you clarify the various widths of the spans in parts (a) and (b)?

Question 8

The accompanying information address the known loads of calcium oxide (CaO) from nine unique examples and the relating loads dictated by a standard compound technique. The referred to weight is treated as the autonomous variable X

CaO present (x) 3.0 7.0 11.5 15.0 19.0 CaO discovered (y) 2.7 6.8 11.1 14.6 18.8 24.0 3(X0 35.0 39.0 23.5 29.7 34.5 38.4 38.5

Track down the direct relapse line used to gauge )ryix, the normal load of CaO found for a known weight x.