k SST - (527 – 503.667)² + - + (423 - 503.667)²
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Step 4
The total sum of squares, SST, is calculated as below where x, is the value of the observation corresponding
to treatment j in block i and x is the overall sample mean.
k
SST = É *; - )?
i = 1j = 1
The overall sample mean was found to be = 503.667. The given data are below.
Critical
Student
Mathematics
Writing
Reading
1
527
533
530
2
593
591
586
465
461
448
4
561
569
550
5
436
481
427
6.
430
455
423
Recall there areb = 6 blocks and k = 3 treatments for a total of 18 terms. Use the given data and
X = 503.667 to find the value of ST, rounding the result to the nearest integer.
b k
SST =
i = 1j = 1
= (527 - 503.667)2 +
+ (423 - 503.667)²
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