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) 21 18 24 19 21 25 20 15 25 21 17 24 26 22 y (lb) 126 110 129 115 125 126 130 120 145 130 130 130 130 140 Complete parts (a) through (c), given x = 298, y = 1786, x2 = 6484, y2 = 228,868, and xy = 38,227. (a) Draw a scatter diagram for the data. (b) Find x, y, and b. (Round your answers for x and y to two decimal places. Round your answer for b to four decimal places.) x = y = b= Find the equation of the least-squares line. (Round your answers to four decimal places.) = + x (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 22 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)