With clear hand writing thanks. 1. (15 points) When children are discharged from

Question

With clear hand writing thanks. 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 hospia children and adolescents' heights and esophagus lengths were measured and a regression analysis performed. The data from this analysis is summarized below: Summary statisties from Regression Amalysis Height (cm) and Esophageal Length (cm) Esophagus Height 34cm 3.Scm (HD 24 5cm 19cm r·0.995 E·11.476 +0.1811 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? e From the information presented above, does it appear that the C. esophagus length can beaccurately predicted from the height of young patients? Provide statistical evidence for your response.

Explanation / Answer

a) Height +1S = 124.5+19 = 143.5

Predicted E = 11.476+0.181*143.5 = 37.45

b) r2 =0.99 or 99% of the variablility in esophagus length is accounted for by the height of the children and adolscents

c) Yes the esophagus length can be accurately predicted from the height of young patients.

when average height is 124.5 , the predicted average esophagus length is = 11.476+0.181*124.5 =34.0

Which is exactly equal to the actual average of esophagus length

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