You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). x 1 5 11 16 26 36 y 39 47 73 100 150 200 Complete parts (a) through (e), given x = 95, y = 609, x2 = 2375, y2 = 81,559, x y = 13,777, and r 0.997. (a) Make a scatter diagram of the data. (Select the correct graph.) (b) Verify the given sums x, y, x2, y2, x y, and the value of the sample correlation coefficient r. (For each answer, enter a number. Round your value for r to three decimal places.) x = y = x2 = y2 = x y = r = (c) Find x bar, and y bar. Then find the equation of the least-squares line y hat = a + b x. (For each answer, enter a number. Round your answers for x bar and y bar to two decimal places. Round your answers for a and b to three decimal places.) x bar = x bar = y bar = y bar = y hat = value of a coefficient (d) Graph the least-squares line. Be sure to plot the point (x bar, y bar) as a point on the line. (Select the correct graph.) (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (For each answer, enter a number. Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained = % unexplained = % (f) The calves you want to buy are 19 weeks old. What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. Round your answer to two decimal places.) kg