1. (15 points) When children are discharged from the hospital their parents may
ID: 3305771 • Letter: 1
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1. (15 points) When children are discharged from the hospital their parents may still provide substantial care, such as the insertion of a feeding tube. It is difficult for parents to know how far to insert the tube, especially with rapidly growing infants. Health care professionals believe it may be possible for parents to measure their child's height and by using a regression equation calculate the appropriate insertion length using a regression equation. At a major children hospital, children and adolescents' heights and esophagus lengths were measured and a regression analysis performed. The data from this analysis is summarized below: Summary statistics from Regression Analysis Height (em) and Esophageal Length (cm Esophagus Height 124 5cm 19cm 3.Sem r=0995, E=11.476 + 0.18111 a. For a child with a height one standard deviation above the mean, what would be the predicted esophagus length? b. What proportion of the variability in esophagus length is accounted for by the height of the children and adolescents? c. From the e information presented above, does it appear that the esophagus length can beaccuratelx predicted from the height of young patients? Provide statistical evidence for your response.Explanation / Answer
a)Since the equation is E=11.476+0.181H
and we have been given H 1sd above mean i.e. H=124.5+19=133.5cm
Putting above value of H in the eqn we get E=11.476+0.181*133.5=35.6395cm
b) Since the equation is E=11.476+0.181H in which 11.476 is constant and 0.181 is the the multiplier associated with H and we can say that increase or decrease of 1 cm in height results in 0.181cm in the esophagus length. so 0.181cm is the change in E for unit change in H
c)Since the r square value provided here is 0.995 which means 99.5% of variation in E can be explained by the variation in H which is a very high correlation. So we can say that esophegus length can be measured by height accurately.
even by putting mean height as 124.5cm we get Esophagus length as11.476+0.181*124.5=34.0105
which is almost the same as the mean of Esophagus given and hence we can statistically say that
variation in L can be explained by the variation in H
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