che253k hw answers -- 2-d data tools -- prob02.rev03
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7/26/2019 ChE253K HW Answers -- 2-D Data Tools -- Prob02.Rev03
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Sums of Squares
Sxx Syy = SST Sxy
Sum 81.0 630.0 0.0 0.0 60.0 10426.0 600.0
Count 9.0 9.0
Mean 9.0 70.0
X Y X Xmean Y Ymean XXm"!YYm
#ata $.0 14.0 4.0 $6.0 16.0 3136.0 224.0
6.0 2$.0 3.0 4$.0 9.0 202$.0 13$.0
7.0 70.0 2.0 0.0 4.0 0.0 0.0
8.0 8$.0 1.0 1$.0 1.0 22$.0 1$.0
9.0 49.0 0.0 21.0 0.0 441.0 0.0
10.0 10$.0 1.0 3$.0 1.0 122$.0 3$.0
11.0 7$.0 2.0 $.0 4.0 2$.0 10.0
12.0 127.0 3.0 $7.0 9.0 3249.0 171.0
13.0 80.0 4.0 10.0 16.0 100.0 40.0
!X Xm"2 !Y Ym"2
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S%o&e 10.00 Co
Sxy(Sxx
)onf'*en)e 9$+
a%&,a 0.02$
*-s of free*o 7.0 630.0 0.0
stu*ent-s t 2.36 9.0
'nter/a% 7.68 70.0
%oer %'m't 2.32
u&&er %'m't 17.68" Sort X Y Y&re*')t Y& Ym
$.0 14.0 30.0 40.0
6.0 2$.0 40.0 30.0
nter)e&t 20.00 7.0 70.0 $0.0 20.0
Ym !Xm" 8.0 8$.0 60.0 10.0
9.0 49.0 70.0 0.0
'nter/a% 71.87 10.0 10$.0 80.0 10.0
%oer %'m't 91.87 11.0 7$.0 90.0 20.0
u&&er %'m't $1.87 12.0 127.0 100.0 30.0
13.0 80.0 110.0 40.0
rsquare* 0.$8
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ff #eterm'nat'on St* rr st
0.$8 2$.1
Sums of Squares
e5ress'on es'*ua%s
6000.0 SS 4426.0 SS
9.0 9.0
666.7 491.8
es'*ua%s 9$+ Conf'*en)e 'm'ts 9$+Y Y& 'nter/a% %o %'m't ,'5, %'m't 'nter/a%
1600.0 16.0 2$6.0 36.$ 6.$ 66.$ 69.8
900.0 1$.0 22$.0 30.4 9.6 70.4 66.8
400.0 20.0 400.0 2$.1 24.9 7$.1 64.$
100.0 2$.0 62$.0 21.3 38.7 81.3 63.1
0.0 21.0 441.0 19.8 $0.2 89.8 62.7
100.0 2$.0 62$.0 21.3 $8.7 101.3 63.1
400.0 1$.0 22$.0 2$.1 64.9 11$.1 64.$
900.0 27.0 729.0 30.4 69.6 130.4 66.8
1600.0 30.0 900.0 36.$ 73.$ 146.$ 69.8
!Y& Ym"2 !Y Y&"2
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re*')t'on 'm'ts%o %'m't ,'5, %'m't
39.8 99.8
26.8 106.8
14.$ 114.$
3.1 123.1
7.3 132.7
16.9 143.1
2$.$ 1$4.$
33.2 166.8
40.2 179.8
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20 30
0
$
10
1$
20
Y #ata
9$+ Conf'*en)e
M o i s t u r e
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40 $0 60 70
Y at ( 9$+ Conf'*en)e
( 9$+ re*')t'on 9$+ re*')t'on
Humidity
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0.0 2.$ $.0 7.$ 10.0 12.$ 1$.0
100.0
$0.0
0.0
$0.0
100.0
1$0.0
200.0
Scatter Plot, Regression Line and Confidence Curves
#ata o'nts e5ress'on 'ne'5, : o Conf'*en)e of 'ne '5,er Conf'*en)e
'5, : o re*')t'on of #ata o'nts '5,er re*')t'on
X
Y
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0.0 2.$ $.0 7.$ 10.0 12.$ 1$.0
$0.0
40.0
30.0
20.0
10.0
0.0
10.0
20.0
30.0
40.0
$0.0
Residuals Plot
X
Y