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?
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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VIEWStep 6: Determine the R^2 value for regression line 1 and line 2.
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