You want to optimize the growing conditions for your favorite flower. You vary the following: variable 1 is amount of miracle grow (low is 4 oz, high is 7 oz), OZ, variable 2 is moisture added each day (low is 6 ml, high is 14 ml), variable 3 is UV LED intensity (low is 5 watt, high is 20 watt). Y' values are mm growth in a week. Give all answer to the tenths place – e.g. 21.3. Test х1 x2 x3 y1 y2 1 -1 -1 -1 17.9 17.6 2 -1 -1 1 20.3 20.2 -1 1 -1 15 14.8 4 -1 1 1 18 17.3 1 -1 -1 17.5 17.7 6. 1 -1 1 21.5 20.9 7 1 1 -1 24.2 23.1 1 1 1 27.6 28.2 Nhat is the system standard deviation?

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Author:Amos Gilat
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You want to optimize the growing conditions for your favorite flower. You vary the following:
variable 1 is amount of miracle grow (low is 4 oz, high is 7 oz),
variable 2 is moisture added each day (low is 6 ml, high is 14 ml),
variable 3 is UV LED intensity (low is 5 watt, high is 20 watt).
'Y' values are mm growth in a week. Give all answer to the tenths place – e.g. 21.3.
Test
х1
x2
x3
y1
y2
1
-1
-1
-1
17.9
17.6
2
-1
-1
1
20.3
20.2
3
-1
1
-1
15
14.8
4
-1
1
1
18
17.3
5
1
-1
-1
17.5
17.7
6.
1
-1
1
21.5
20.9
7
1
1
-1
24.2
23.1
8
1
1
1
27.6
28.2
What is the system standard deviation?
How many main effects are statistically significant?
Transcribed Image Text:You want to optimize the growing conditions for your favorite flower. You vary the following: variable 1 is amount of miracle grow (low is 4 oz, high is 7 oz), variable 2 is moisture added each day (low is 6 ml, high is 14 ml), variable 3 is UV LED intensity (low is 5 watt, high is 20 watt). 'Y' values are mm growth in a week. Give all answer to the tenths place – e.g. 21.3. Test х1 x2 x3 y1 y2 1 -1 -1 -1 17.9 17.6 2 -1 -1 1 20.3 20.2 3 -1 1 -1 15 14.8 4 -1 1 1 18 17.3 5 1 -1 -1 17.5 17.7 6. 1 -1 1 21.5 20.9 7 1 1 -1 24.2 23.1 8 1 1 1 27.6 28.2 What is the system standard deviation? How many main effects are statistically significant?
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