25 issues will be selected detailed formula
1) The population for X and Y random variables are the followings. X= ( 13, 179, 181, 163, 155, 185, 3, 96, 98, 52, 7, 117, 69,142, 180, 127, 142, 188, 190, 93, 159, 65, 126, 173, 5, 83, 68, 98, 134, 62, 58, 169, 163, 141, 153, 190, 194, 18, 6,153, 38, 113, 10, 192, 115, 25, 172, 66, 77, 118, 126, 196,22, 158, 123, 8, 108, 153, 164, 196, 183, 42, 173, 39, 118,96, 195, 121, 171, 63, 8, 126, 27, 119, 67, 131, 191, 179,29, 144, 171, 89. 69, 113, 71, 154, 162, 173, 168, 181, 109.4, 52, 121, 49, 5, 148, 152, 69, 170) Y=[ 82. 22. 137. 48, 191, 156. 56. 32. 119, 156. 71. 95. 197.179. 7. 28, 183, 125, 98, 142, 128, 187, 132. 8. 78, 48.172. 61, 153, 179, 171. 73, 166, 65, 35. 41, 153. 99. 102.56, 153, 175, 19. 107. 84. 98. 181, 123. 128. 73. 63. 57.79. 63. 181. 4. 103, 4, 177, 64, 170. 84, 185, 178, 72. 100, 61. 16. 27. 124, 100. 126. 196, 108. 98. 88, 55, 135.25. 21. 152. 55. 152. 40.67. 47. 17. 188. 12. 83. 4.97. 54. 37. 199, 41. 63, 92. 185.56] Sample 25 observations from both populations to answer following questions: i) Calculate mean and variance for your sample from X and Y? (10 points) (10 points) i) Calculate the covnriance and correlatiou coefficient using your samples from X and Y ? (10 points) ili)Show that covariance is sensitive to scaling while the correlation coeffi cient is not using your samples from N and points) 1) The population for X and Y random variables are the followings. X= ( 13, 179, 181, 163, 155, 185, 3, 96, 98, 52, 7, 117, 69,142, 180, 127, 142, 188, 190, 93, 159, 65, 126, 173, 5, 83, 68, 98, 134, 62, 58, 169, 163, 141, 153, 190, 194, 18, 6,153, 38, 113, 10, 192, 115, 25, 172, 66, 77, 118, 126, 196,22, 158, 123, 8, 108, 153, 164, 196, 183, 42, 173, 39, 118,96, 195, 121, 171, 63, 8, 126, 27, 119, 67, 131, 191, 179,29, 144, 171, 89. 69, 113, 71, 154, 162, 173, 168, 181, 109.4, 52, 121, 49, 5, 148, 152, 69, 170) Y=[ 82. 22. 137. 48, 191, 156. 56. 32. 119, 156. 71. 95. 197.179. 7. 28, 183, 125, 98, 142, 128, 187, 132. 8. 78, 48.172. 61, 153, 179, 171. 73, 166, 65, 35. 41, 153. 99. 102.56, 153, 175, 19. 107. 84. 98. 181, 123. 128. 73. 63. 57.79. 63. 181. 4. 103, 4, 177, 64, 170. 84, 185, 178, 72. 100, 61. 16. 27. 124, 100. 126. 196, 108. 98. 88, 55, 135.25. 21. 152. 55. 152. 40.67. 47. 17. 188. 12. 83. 4.97. 54. 37. 199, 41. 63, 92. 185.56] Sample 25 observations from both populations to answer following questions: i) Calculate mean and variance for your sample from X and Y? (10 points) (10 points) i) Calculate the covnriance and correlatiou coefficient using your samples from X and Y ? (10 points) ili)Show that covariance is sensitive to scaling while the correlation coeffi cient is not using your samples from N and points)
