Answer:
a) Figure attached
b)  
c) The correlation coefficient would be r =0.47719
d)  
Step-by-step explanation:
(a) Draw a scatter diagram for the data.
See the figure attached 
(b) Find x, y, b, and the equation of the least-squares line. (Round your answers to three decimal places.) x =__ y =__ b =__ y =__ + __x
 
Where:
 
 
With these we can find the sums:
 
 
And the slope would be:
 
Nowe we can find the means for x and y like this:
 
 
And we can find the intercept using this:
 
So the line would be given by:
 
(c) Find the sample correlation coefficient r and the coefficient of determination r?2. (Round your answers to three decimal places.)
n=14  
  
And in order to calculate the correlation coefficient we can use this formula:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D) 
![r=\frac{14(38186)-(300)(1773)}{\sqrt{[14(6576) -(300)^2][14(225649) -(1773)^2]}}=0.9534](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B14%2838186%29-%28300%29%281773%29%7D%7B%5Csqrt%7B%5B14%286576%29%20-%28300%29%5E2%5D%5B14%28225649%29%20-%281773%29%5E2%5D%7D%7D%3D0.9534) 
So then the correlation coefficient would be r =0.47719
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
The % of variation is given by the determination coefficient given by  and on this case
 and on this case  , so then the % of variation explaines is 22.8%.
, so then the % of variation explaines is 22.8%.
(d) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) ___ lb
So we can replace in the linear model like this:
