pter 18 Simple Linear Regression 8. Figure 18.17 displays a two-way scatter plot
ID: 3219308 • Letter: P
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pter 18 Simple Linear Regression 8. Figure 18.17 displays a two-way scatter plot of he response of cerebral blood volume in the brain to changes in carbon dioxide tension in the arteries ver sus gestational age for a sample of 17 newborn infants [4]. 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 Bis 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 be- tween R and gestational age in newborn infants; gestational age was not useful in predicting CBVR. Would this information cause you to modify your answer above? 9. The data set lowbwt contains information for the sample 100 low birth weight of infants born in Boston, Massachusetts (Appendix B, Table B.7). Measuremen [1]Explanation / Answer
#8.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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