[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 |
- Draw a scatter diagram.
- Find the equation of the least-squares line, and plot the line on the scatter diagram of part (a).
- 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?
- 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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