[Solution Library] Medical: Fat Babies. Modern medical practice tells us not to encourage babies to, become too fat. Is there a positive correlation between


Question: Medical: Fat Babies. Modern medical practice tells us not to encourage babies to, become too fat. Is there a positive correlation between the weight x of a 1-yeat—old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females:

x y
21 125
25 125
23 120
24 125
29 130
15 120
25 145
21 130
17 130
24 130
26 130
22 140
18 110
19 115
  1. Draw a scatter diagram.
  2. Find the equation of the least-squares line, and plot the line on the scatter diagram of part (a).
  3. Find the correlation coefficient \(r\). Find the coefficient of determination \(r^{2}\). What percentage of variation in \(y\) is explained by the variation in \(x\) and the least squares model?
  4. If a female baby weighs \(20 \mathrm{lb}\) at 1 year, what do you predict she will weigh at 30 years of age?

\(\Sigma x=300 ; \Sigma y=1775 ; \Sigma x^{2}=6572 ; \Sigma y^{2}=226,125 ; \Sigma x y=38,220\)

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Solution: The downloadable solution consists of 4 pages
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