show the formulas on how to get the anova: single factors just like show in the pictures ... tysm <3

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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show the formulas on how to get the anova: single factors just like show in the pictures ... tysm <3

ROW
SAMPLE SIZE
MEAN
STANDARD DEVIATION
VARIANCE
FRONT
82
83
97
93
55
67
53
FRONT
7
75.71
17.63
310.90
MIDDLE
83
78
68
61
77
54
69
51
63
BACK
38
59
55
66
45
52
52
61
MIDDLE BACK
9
8
67.11 53.50
10.95
8.96
80.29
119.86
Anova: Single Factor
SUMMARY
FRONT
MIDDLE
BACK
Groups
ANOVA
Source of Variation
Between Groups
Within Groups
Total
Count
7
9
8
SS
1901.52
3386.32
5287.83
Sum Average Variance
530 75.71 310.90
604
428
67.11 119.86
53.5 80.29
df
2
21
23
MS
950.76
161.25
F
5.90
P-value
0.009
F crit
3.47
Transcribed Image Text:ROW SAMPLE SIZE MEAN STANDARD DEVIATION VARIANCE FRONT 82 83 97 93 55 67 53 FRONT 7 75.71 17.63 310.90 MIDDLE 83 78 68 61 77 54 69 51 63 BACK 38 59 55 66 45 52 52 61 MIDDLE BACK 9 8 67.11 53.50 10.95 8.96 80.29 119.86 Anova: Single Factor SUMMARY FRONT MIDDLE BACK Groups ANOVA Source of Variation Between Groups Within Groups Total Count 7 9 8 SS 1901.52 3386.32 5287.83 Sum Average Variance 530 75.71 310.90 604 428 67.11 119.86 53.5 80.29 df 2 21 23 MS 950.76 161.25 F 5.90 P-value 0.009 F crit 3.47
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A
X✓ fx
B
ROW
SAMPLE SIZE
MEAN
STANDARD DEVIATION
VARIANCE
31°C
Light rain
Sheet1
+
с
FRONT
82
83
97
93
55
67
53
D
MIDDLE
83
78
68
61
77
54
69
51
63
FRONT MIDDLE
E
BACK
38
59
55
66
45
52
52
61
BACK
F
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10:58 am
02/12/2022
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Transcribed Image Text:118 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 A X✓ fx B ROW SAMPLE SIZE MEAN STANDARD DEVIATION VARIANCE 31°C Light rain Sheet1 + с FRONT 82 83 97 93 55 67 53 D MIDDLE 83 78 68 61 77 54 69 51 63 FRONT MIDDLE E BACK 38 59 55 66 45 52 52 61 BACK F ■ [ H I J K L M N O P ENG US Q 4) O R ... 10:58 am 02/12/2022 X SA
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