Concept explainers
Hematology
The data in Table 11.17 are given for 9 patients with aplastic anemia [11].
Fit a regression line relating the percentage of reticulocytes (x) to the number of lymphocytes (y).
TABLE 11.17 Hematologic data for patients with aplastic anemia
Compute the regression line relating percentage of reticulocytes and number of lymphocytes.
Answer to Problem 1P
The regression line is
Explanation of Solution
Calculation:
The sum of squares and products can be calculated as follows:
3.6 | 1700 | 12.96 | 2890000 | 6120 |
2.0 | 3078 | 4.00 | 9474084 | 6156 |
0.3 | 1820 | 0.09 | 3312400 | 546 |
0.3 | 2706 | 0.09 | 7322436 | 811.8 |
0.2 | 2086 | 0.04 | 4351396 | 417.2 |
3.0 | 2299 | 9.00 | 5285401 | 6897 |
0.0 | 676 | 0.00 | 456976 | 0 |
1.0 | 2088 | 1.00 | 4359744 | 2088 |
2.2 | 2013 | 4.84 | 4052169 | 4428.6 |
The slope can be calculated as follows:
The intercept can be calculated as follows:
The regression line is given as follows:
Thus, the regression line is
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Chapter 11 Solutions
Fundamentals of Biostatistics