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The graph also shows the fitted least-squares regression line for these data. Th

ID: 3229163 • Letter: T

Question

The graph also shows the fitted least-squares regression line for these data. The investigators who constructed the model determined that the slope of the line is significantly larger than 0.

(a) Suppose that you are interested in only those infants who are born prematurely. If you were to eliminate the four data points corresponding to newborns whose gestational age is 38 weeks or greater, would you still believe that there is a significant increase in CBVR as gestational age increases?

(b) In an earlier study, the same investigators found no obvious relationship between CBVR and gestational age in newborn infants; gestational age was not useful in predicting CBVR. Would this information cause you to modify your answer above?

S .4 .2 F Bo 26 28 30 32 34 36 38 40 42 Gestational age (weeks) FIGURE 18.17 Response of cerebral blood volume versus gestational age for a sample of 17 newborns

Explanation / Answer

Solution:

From the graph given above , we conclude that:

(a) If we eliminate the four data points (outliers) corresponding to newborns whose gestational age is 38 weeks or greater then the slope of line will be closer to 0 or not significantly larger than 0. i.e. there is no significant increase in CBVR as gestational age increases.

b) Independent of the information given by earlier study, we modify the answer above on the basis of outliers.

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