[Solution Library] People with diabetes must manage their blood sugar levels carefully. They measure their fat plasma glucose (FPG) several times a day
Question: People with diabetes must manage their blood sugar levels carefully. They measure their fat plasma glucose (FPG) several times a day with a glucose meter. Another measurement, made regular medical check-ups, is called the HbA. This is roughly the percent of red blood cells that have a glucose molecule attached. It measures average exposure to glucose over a period of several months. The table below data on both HbA and FPG for 18 diabetics five months after they had completed a diabetes education class.
Table 5.2 Two measures of glucose level in diabetes
| Subject | Hba (%) |
FPG
(mh/ml) |
Subject |
HbA
(%) |
FPG
(mg/ml) |
Subject | Hba (%) |
FPG
(mg/ml) |
| 1 | 6.1 | 141 | 7 | 7.5 | 96 | 13 | 10.6 | 103 |
| 2 | 6.3 | 158 | 8 | 7.7 | 78 | 14 | 10.7 | 172 |
| 3 | 6.4 | 112 | 9 | 7.9 | 148 | 15 | 10.7 | 359 |
| 4 | 6.8 | 153 | 10 | 8.7 | 172 | 16 | 11.2 | 145 |
| 5 | 7.0 | 134 | 11 | 9.4 | 200 | 17 | 13.7 | 147 |
| 6 | 7.1 | 95 | 12 | 10.4 | 271 | 18 | 19.3 | 255 |
- Make a scatter plot with HbA as the explanatory variable. There is a positive linear relationship, but it is surprisingly week.
- Subject 15 is an outlier in the y direction. Subject 18 is an outlier in the x direction. Find the correlation for all 18 subjects, for all except Subject 15, and for all except Subject 18.Are either or both of these subjects influential for the correlation? Explain in simple language why r changes in opposite directions when we remove each of these points.
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