(x) Gestational age (weeks) ≤24ª 25 26 27 28 29 30 31 32 33 Mean thyroxine level (µg/dL) 6.5 7.1 7.0 7.1 7.2 7.1 8.1 8.7 9.5 10.1 aTreated as 24 in subsequent analyses. 11.50 Is there a significant association between mean thy- roxine level and gestational age? Report a p-value.
(x) Gestational age (weeks) ≤24ª 25 26 27 28 29 30 31 32 33 Mean thyroxine level (µg/dL) 6.5 7.1 7.0 7.1 7.2 7.1 8.1 8.7 9.5 10.1 aTreated as 24 in subsequent analyses. 11.50 Is there a significant association between mean thy- roxine level and gestational age? Report a p-value.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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please only answer 11.50
![**Pediatrics, Endocrinology**
Transient hypothyroxinemia, a common finding in premature infants, is not thought to have long-term consequences or to require treatment. A study was performed to investigate whether hypothyroxinemia in premature infants is a cause of subsequent motor and cognitive abnormalities. Blood thyroxine values were obtained on routine screening in the first week of life from 536 infants who weighed 2000 g or less at birth and were born at 33 weeks gestation or earlier. The data in Table 11.21 were presented concerning the relationship between mean thyroxine level and gestational age.
**11.49** What is the best-fitting regression line relating mean thyroxine level to gestational age?
**Hint:**
\[
\sum_{i=1}^{10} x_i = 285, \quad \sum_{i=1}^{10} x_i^2 = 8205, \quad \sum_{i=1}^{10} y_i = 78.4
\]
\[
\sum_{i=1}^{10} y_i^2 = 627.88, \quad \sum_{i=1}^{10} x_i y_i = 2264.7
\]
**Explanation:**
This problem involves calculating the best-fitting regression line to determine the relationship between mean thyroxine level (dependent variable) and gestational age (independent variable). The provided summations can be used to compute the slopes and intercepts for the regression line equation \(y = mx + b\), where \(m\) is the slope and \(b\) is the intercept.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03210149-7bd1-493b-9cd1-96815f185546%2Fe25fd76f-2dd8-4169-99fb-75e398dd4766%2Fy1pki7f_processed.png&w=3840&q=75)
Transcribed Image Text:**Pediatrics, Endocrinology**
Transient hypothyroxinemia, a common finding in premature infants, is not thought to have long-term consequences or to require treatment. A study was performed to investigate whether hypothyroxinemia in premature infants is a cause of subsequent motor and cognitive abnormalities. Blood thyroxine values were obtained on routine screening in the first week of life from 536 infants who weighed 2000 g or less at birth and were born at 33 weeks gestation or earlier. The data in Table 11.21 were presented concerning the relationship between mean thyroxine level and gestational age.
**11.49** What is the best-fitting regression line relating mean thyroxine level to gestational age?
**Hint:**
\[
\sum_{i=1}^{10} x_i = 285, \quad \sum_{i=1}^{10} x_i^2 = 8205, \quad \sum_{i=1}^{10} y_i = 78.4
\]
\[
\sum_{i=1}^{10} y_i^2 = 627.88, \quad \sum_{i=1}^{10} x_i y_i = 2264.7
\]
**Explanation:**
This problem involves calculating the best-fitting regression line to determine the relationship between mean thyroxine level (dependent variable) and gestational age (independent variable). The provided summations can be used to compute the slopes and intercepts for the regression line equation \(y = mx + b\), where \(m\) is the slope and \(b\) is the intercept.
Transcribed Image Text:**TABLE 11.21**
**Relationship between mean thyroxine level and gestational age among 536 premature infants**
| (x) Gestational age (weeks) | (y) Mean thyroxine level (μg/dL) |
|-----------------------------|---------------------------------|
| ≤ 24<sup>a</sup> | 6.5 |
| 25 | 7.1 |
| 26 | 7.0 |
| 27 | 7.1 |
| 28 | 7.2 |
| 29 | 7.1 |
| 30 | 8.1 |
| 31 | 8.7 |
| 32 | 9.5 |
| 33 | 10.1 |
<sup>a</sup>Treated as 24 in subsequent analyses.
**11.50** Is there a significant association between mean thyroxine level and gestational age? Report a *p*-value.
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