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-year 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 (lb)1924242520152521172426221819

y (lb)120121115129130120145130130130130140110115

A button hyperlink to the SALT program that reads: Use SALT.

x = 299; y = 1,765; x2 = 6,539; y2 = 223,757; xy = 37,879

(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your answers for least-squares estimates to three decimal places.)

x=

y=

b=

= ________ + ___________ x

(b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram.

(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)

r =

r2 =

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)

________ %

(d) If a female baby weighs 23 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)

_________lb