Doctors define a newborn as a low birth weight baby if it weighs less than 2500g
ID: 3364362 • Letter: D
Question
Doctors define a newborn as a low birth weight baby if it weighs less than 2500g at birth. An obstetrician wants to know whether maternal anemia (low iron in the blood) is associated with birth weight. For 10 women, she records their hemoglobin level (in g/dL) at 32 weeks as well as the eventual birth weights of their infants (in kilograms). Based on the following table of data, complete all of the following: • Use one of the formulas given in class to calculate Pearson’s r. • Verify your results from part a using an alternate formula or a built-in function in R • Does there appear to be an association between the two variables? If so, in what direction? Is it strong or weak?
Hemoglobin
Birth Weight
12.1
2.5
12.5
3.0
11.2
1.5
11.5
3.5
12.8
2.0
13.5
1.9
14.0
2.3
12.6
2.9
12.9
3.2
11.6
2.4
Hemoglobin
Birth Weight
12.1
2.5
12.5
3.0
11.2
1.5
11.5
3.5
12.8
2.0
13.5
1.9
14.0
2.3
12.6
2.9
12.9
3.2
11.6
2.4
Explanation / Answer
The value of R is -0.0662. Although technically a negative correlation, the relationship between your variables is only weak (nb. the nearer the value is to zero, the weaker the relationship).
The value of R2, the coefficient of determination, is 0.0044.
The P-Value is 0.856252. The result is not significant at p < 0.05.
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