The accompanying data on x head circumference z score a com
The accompanying data on x = head circumference z score (a comparison score with peers of the same age - a positive score suggests a larger size than for peers) at age 6 to 14 months and y = volume of cerebral grey matter (in ml) at age 2 to 5 years were read from a graph in an article.
(c) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.8. (Give the answer to two decimal places.)
| Cerebral Grey Matter (ml) 2-5 yr | Head Circumfer- ence z Scores at 6-14 Months |
| 680 | -0.71 |
| 690 | 1.8 |
| 700 | -0.26 |
| 720 | 0.29 |
| 740 | 0.34 |
| 740 | 2.1 |
| 750 | 1.7 |
| 750 | 2.6 |
| 760 | 1.7 |
| 780 | 1.7 |
| 790 | 2.6 |
| 810 | 2.7 |
| 815 | 3.4 |
| 820 | 2.8 |
| 825 | 0.94 |
| 835 | 2.95 |
| 840 | 2.9 |
| 845 | 2.8 |
Solution
a)
Using technology, like the CORREL function in Excel,
r = 0.741233625 [ANSWER]
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b)
Using technology, we get
slope = 32.80079564
intercept = 712.7163478
Thus, the regression line is
y^ = 32.80079564x + 712.7163478 [ANSWER]
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c)
Thus, if x = 1.8
Then
y^ = 771.75778 [ANSWER]

