Question

In: Statistics and Probability

Medical researchers have noted that adolescent females are much more likely to deliver low-birth-weight babies than...

Medical researchers have noted that adolescent females are much more likely to deliver low-birth-weight babies than are adult females. Because low-birth-weight babies have a higher mortality rate, a number of studies have examined the relationship between birth weight and mother's age. One such study is described in the article "Body Size and Intelligence in 6-Year-Olds: Are Offspring of Teenage Mothers at Risk?"† The following data on maternal age (in years) and birth weight of baby (in grams) are consistent with summary values given in the article and also with data published by the National Center for Health Statistics.

Mother's age 15 17 18 15 16 19 17 16 18 19
Birth weight 2,289 3,423 3,301 2,618 2,927 3,357 2,970 2,505 3,138 3,543

A) Find the equation of the least squares regression line?

ŷ =......... + (.........)x

B) Use the regression line to predict for birth weight, in grams, of a baby born to a 15-year-old mother?

......... g

Solutions

Expert Solution

Solution:

n = 10

X Y XY X2 Y2
15 2289 34335 225 5239521
17 3423 58191 289 11716929
18 3301 59418 324 10896601
15 2618 39270 225 6853924
16 2927 46832 256 8567329
19 3357 63783 361 11269449
17 2970 50490 289 8820900
16 2505 40080 256 6275025
18 3138 56484 324 9847044
19 3543 67317 361 12552849
Sum 170 30071 516200 2910 92039571

Now ,

Slope of the regression line is

   b = 249.65

Now , y intercept of the line is

   a = -1236.95

The equation of the regression line is

= a + bx

=   -1236.95 + (249.65)x

B)

For x = 15 , find the predicted value of y .

Put x = 15 in the regression line equation.

= -1236.95 + [(249.65) * 15 ] = 2507.8

Answer:    2507.8 g

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Medical researchers have noted that adolescent females are much more likely to deliver low-birth-weight babies than...
Medical researchers have noted that adolescent females are much more likely to deliver low-birth-weight babies than are adult females. Because low-birth-weight babies have a higher mortality rate, a number of studies have examined the relationship between birth weight and mother's age. One such study is described in the article "Body Size and Intelligence in 6-Year-Olds: Are Offspring of Teenage Mothers at Risk?"† The following data on maternal age (in years) and birth weight of baby (in grams) are consistent with...
Medical researchers have noted that adolescent females are much more likely to deliver low-birth-weight babies than...
Medical researchers have noted that adolescent females are much more likely to deliver low-birth-weight babies than are adult females. Because low-birth-weight babies have a higher mortality rate, a number of studies have examined the relationship between birth weight and mother's age. One such study is described in the article "Body Size and Intelligence in 6-Year-Olds: Are Offspring of Teenage Mothers at Risk?"† The following data on maternal age (in years) and birth weight of baby (in grams) are consistent with...
According to a census company, 10.1% of all babies born are of low birth weight. An...
According to a census company, 10.1% of all babies born are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies. She randomly selected 350 births for which the mother was 35 to 39 years old and found 38 low-birth-weight babies. Complete parts (a) through (c) below. A)-If the proportion of low-birth-weight babies for mothers in this age group is 0.101 ,...
According to a census? company, 10.1% of all babies born are of low birth weight. An...
According to a census? company, 10.1% of all babies born are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage of? low-birth-weight babies. She randomly selected 350 births for which the mother was 35 to 39 years old and found 38 ?low-birth-weight babies. Complete parts ?(a) through ?(c) below. A)-If the proportion of? low-birth-weight babies for mothers in this age group is 0.101?, compute...
According to a census company, 7.1% of all babies born are of low birth weight. An...
According to a census company, 7.1% of all babies born are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies. She randomly selected 280 births for which the mother was 35 to 39 years old and found 31 low-birth-weight babies. Complete parts (a) through (c) below. (a) If the proportion of low-birth-weight babies for mothers in this age group is 0.071,...
Infants weighing less than 1500 grams at birth are classed as "very low birth weight." Low...
Infants weighing less than 1500 grams at birth are classed as "very low birth weight." Low birth weight carries many risks. One study followed 114 male infants with very low birth weight to adulthood. At age 20, the mean IQ score for these men was x = 87.1. IQ scores vary Normally with standard deviation σ = 13. Give a 95% confidence interval for the mean IQ score at age 20 for all very-low-birth-weight males. Use the four-step process for...
Describe the effect of extremely low birth weight babies on the family and community. Consider short-term...
Describe the effect of extremely low birth weight babies on the family and community. Consider short-term and long-term impacts, socioeconomic implications, the need for ongoing care, and comorbidities associated with prematurity. Explain how disparities relative to ethnic and cultural groups may contribute to low birth weight babies. Identify one support service within your community to assist with preterm infants and their families and explain how the service adequately addresses the needs of the community, or a population in your community.
Describe the effect of extremely low birth weight babies on the family and community. Consider short-term...
Describe the effect of extremely low birth weight babies on the family and community. Consider short-term and long-term impacts, socioeconomic implications, the need for ongoing care, and comorbidities associated with prematurity. Explain how disparities relative to ethnic and cultural groups may contribute to low birth weight babies. Identify one support service within your community to assist with preterm infants and their families and explain how the service adequately addresses the needs of the community, or a population in your community....
”Socioeconomic inequalities in low birth weight are larger in the US than in the United Kingdom,...
”Socioeconomic inequalities in low birth weight are larger in the US than in the United Kingdom, Canada, and Australia, and income inequality is on the rise globally, with the United States leading the way.” Why is this? Why is the US leading the way in disparities? Is our healthcare system to blame?
Anthropology Question: Why are females more likely to be carriers for color blindness than to be...
Anthropology Question: Why are females more likely to be carriers for color blindness than to be color blind themselves?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT