Medical researchers have noted that adolescent females are much more likely to deliver lowbirth- weight babies than adult females. Because low-birth-weight babies have higher mortality rates, a number of studies have examined the relationship between birth weight and mother’s age for babies born to young mothers. One such study is described in the article “Body Size and Intelligence in 6-Year-Olds: Are Offspring of Teenage Mothers at Risk?” (Maternal and Child Health Journal [2009]: 847-856). The following data in Table 2 consists of two variables; x is the maternal age (in years) and y is birth weight of baby (in kilograms) are consistent with summary values given in the referenced article and also with data published by the National Center for Health Statistics. 1 2 3 4 5 6 7 8 9 10 x 15 17 18 15 16 19 17 16 18 19 y 2.29 3.39 3.27 2.64 2.89 3.32 2.97 2.53 3.13 3.57 (i) Find the equation of estimated regression line (ii) Predict the birth weight of a baby to be born to a particular 18-year-old mother to be.
Medical researchers have noted that adolescent females are much more likely to deliver lowbirth-
weight babies than adult females. Because low-birth-weight babies have higher mortality
rates, a number of studies have examined the relationship between birth weight and mother’s
age for babies born to young mothers. One such study is described in the article “Body Size and
Intelligence in 6-Year-Olds: Are Offspring of Teenage Mothers at Risk?” (Maternal and Child Health Journal [2009]: 847-856). The following data in Table 2 consists of two variables; x is the
maternal age (in years) and y is birth weight of baby (in kilograms) are consistent with summary
values given in the referenced article and also with data published by the National Center for
Health Statistics.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| x | 15 | 17 | 18 | 15 | 16 | 19 | 17 | 16 | 18 | 19 |
| y | 2.29 | 3.39 | 3.27 | 2.64 | 2.89 | 3.32 | 2.97 | 2.53 | 3.13 | 3.57 |
(i) Find the equation of estimated regression line
(ii) Predict the birth weight of a baby to be born to a particular 18-year-old mother to be.
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