Stat 244.3 – Compulsory Asst 4 (due Dec 03)

1. In the following study the researcher was interested in determining how systolic anddiastolic blood pressure affected heart recovery rate. Subjects (n = 45) in theexperiment exercised on a stationary bike until the reached 65% of their maximumheart rate. Then the time to recovery of their normal heart rate was observed. Inaddition the age of each subject was recorded.The data is tabulated below:

Case Age Systolic Diastolic Recovery Case Age Systolic Diastolic Recovery

1 23 128 81 272 26 21 134 89 313 2 33 124 79 75 27 27 139 101 475 3 24 122 77 219 28 33 126 76 49 4 20 130 89 408 29 21 125 67 69 5 23 128 91 391 30 30 121 71 12 6 30 120 68 49 31 23 132 75 152 7 25 135 68 21 32 21 130 82 340 8 30 133 79 176 33 19 129 68 133 9 23 129 73 135 34 32 141 87 152

10 26 135 77 174 35 24 116 80 190 11 20 120 73 192 36 23 127 73 144 12 30 130 74 86 37 23 129 66 44 13 24 136 71 91 38 26 125 85 186 14 22 142 92 393 39 32 112 78 101 15 28 122 74 117 40 18 118 73 263 16 30 120 73 52 41 28 136 79 188 17 27 115 77 198 42 33 131 82 156 18 23 119 84 264 43 25 126 69 54 19 31 127 76 44 44 22 114 82 296 20 22 126 74 180 45 20 122 81 289 21 23 128 78 229 22 21 110 68 131 23 27 122 74 182 24 22 135 86 346 25 22 135 89 378

Use multiple regression analysis to determine how the heart recovery rate was determined by systolic blood pressure, diastolic blood pressure and age.

Statistics 244.3 – Compulsory Asst 4

2. In the following example, the researcher was interested in determining if the following index (x) was associated with (y), remission in cancer patients. The index x measures proliferation activity of cells after a patient receives an injection of tritiated thymidine. The response variable y indicates whether the patient achieved remission (1), or did not achieve remission (0). The data is tabulated below:

case x y case x y case x y case x y

1 15 0 26 27 1 51 31 1 76 28 1 2 9 0 27 23 1 52 15 1 77 33 1 3 37 1 28 23 0 53 25 1 78 5 0 4 31 1 29 15 0 54 0 0 79 37 1 5 31 1 30 1 0 55 11 0 80 9 0 6 40 1 31 39 1 56 33 1 81 26 1 7 11 0 32 14 0 57 36 1 82 15 1 8 2 0 33 10 0 58 29 1 83 23 0 9 27 1 34 22 1 59 40 1 84 1 0

10 30 1 35 12 0 60 28 1 85 22 0 11 40 1 36 1 0 61 19 1 86 18 1 12 25 1 37 1 0 62 22 0 87 34 1 13 4 0 38 11 0 63 28 1 88 6 0 14 24 1 39 7 0 64 21 0 89 28 0 15 38 1 40 38 1 65 5 0 90 11 0 16 20 0 41 16 1 66 22 1 91 8 0 17 26 1 42 1 0 67 38 1 92 15 1 18 34 1 43 24 1 68 12 0 93 5 1 19 22 0 44 40 1 69 32 1 94 3 0 20 35 1 45 33 1 70 37 1 95 8 0 21 24 1 46 11 0 71 34 1 96 29 1 22 25 1 47 30 0 72 33 1 97 15 0 23 8 0 48 8 0 73 28 1 98 39 1 24 20 1 49 39 1 74 4 0 99 32 1 25 4 0 50 17 1 75 12 0 100 10 0

Perform logistic regression to determine in remission (y) depends on the index (x).