Sample (X) No 1 2 3 4 5 6 7 Total 8 18 15 19 21 17 20 19 129 24 Sample No 1 2 3 4 5 6 7 Total 8 X² 324 225 361 441 289 400 361 2401 576 (XY) 378 300 380 420 323 360 342 2503 576 (Y) 21 20 20 20 19 18 18 136 24 (XZ) 1350 1020 1520 1680 952 1700 1539 9761 1176 y² 441 400 400 400 361 324 324 2650 576 2052 1740 2280 (Z) Line 1: Y = a₁ + b₁X Line 2: Y a2 + b2Z Line 3: Y a3 + b3W Line 4: X a4 + b4Z Line 5: Was + b5Z Line 6: Xa6 + b6W 75 68 80 Questions 56 (XW) (YZ) 81 525 49 Z² (YW) 2394 8550 2320 7888 2400 9600 2562 1600 2440 9760 2108 1064 2356 6944 2360 1530 2124 10030 1458 2178 9801 2299 15401 10187 16212 62573 4176 1176 4176 8526 1575 1360 1600 5625 4624 6400 6400 3136 7225 6561 39971 2401 (W) 114 116 120 122 124 118 121 835 174 (ZW) W² 12996 13456 14400 14884 15376 13924 14641 99677 30276 1) Obtain all regression lines and determine which regression line is the best for sample 3. 2) Compare regression line 1, 2 and 3 according to their R2 values. Which regression line has the highest R² values?

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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Related questions
Question
Sample
No
2
3
4
5
6
7
Total
8
(X)
18
15
19
21
17
20
19
129
24
Sample
No
1
2
3
4
5
6
Total
8
X²
324
225
361
441
289
400
361
2401
576
(XY)
378
300
380
420
323
360
342
2503
576
(Y)
21
20
20
20
19
18
18
136
24
(XZ)
1350
1020
1520
1680
952
1700
1539
9761
1176
y²
441
400
400
400
361
324
324
2650
576
2052
1740
2280
2562
2108
Line 1: Y = a₁ + b₁X
Line 2: Y = a2 + b₂Z
Line 3: Y a3 + b3W
Line 4: X = a4 + b4Z
Line 5: Was + b5Z
Line 6: X = α6 + b6W
(Z)
Questions
* 2
75
(XW) (YZ)
1575
1360
1600
1600
1064
2360
1530
2299
1458
15401 10187
4176
1176
68
80
80
56
85
81
525
49
N
Z²
5625
4624
6400
6400
3136
7225
6561
39971
2401
(YW)
2394
2320
2400
2440
2356
(W)
114
116
120
122
124
118
121
835
174
(ZW)
8550
7888
9600
9760
6944
2124
10030
2178
9801
16212 62573
4176
8526
W²
12996
13456
14400
14884
15376
13924
14641
99677
30276
1) Obtain all regression lines and determine which regression line is the best for sample 3.
2) Compare regression line 1, 2 and 3 according to their R² values. Which regression line
has the highest R² values?
Transcribed Image Text:Sample No 2 3 4 5 6 7 Total 8 (X) 18 15 19 21 17 20 19 129 24 Sample No 1 2 3 4 5 6 Total 8 X² 324 225 361 441 289 400 361 2401 576 (XY) 378 300 380 420 323 360 342 2503 576 (Y) 21 20 20 20 19 18 18 136 24 (XZ) 1350 1020 1520 1680 952 1700 1539 9761 1176 y² 441 400 400 400 361 324 324 2650 576 2052 1740 2280 2562 2108 Line 1: Y = a₁ + b₁X Line 2: Y = a2 + b₂Z Line 3: Y a3 + b3W Line 4: X = a4 + b4Z Line 5: Was + b5Z Line 6: X = α6 + b6W (Z) Questions * 2 75 (XW) (YZ) 1575 1360 1600 1600 1064 2360 1530 2299 1458 15401 10187 4176 1176 68 80 80 56 85 81 525 49 N Z² 5625 4624 6400 6400 3136 7225 6561 39971 2401 (YW) 2394 2320 2400 2440 2356 (W) 114 116 120 122 124 118 121 835 174 (ZW) 8550 7888 9600 9760 6944 2124 10030 2178 9801 16212 62573 4176 8526 W² 12996 13456 14400 14884 15376 13924 14641 99677 30276 1) Obtain all regression lines and determine which regression line is the best for sample 3. 2) Compare regression line 1, 2 and 3 according to their R² values. Which regression line has the highest R² values?
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