(Solved): ripiared You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has cal ...

ripiared 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 klograms). Complete parts (a) through (e). (a) Draw a scatter diagram displaying the data. (b) Find $${\stackrel{?}{x}}_{?}$$ and $$\stackrel{?}{y}$$. Then find the equation of the least-squares lene $$\hat{y}=a+bx$$. (Round your answers for $$\stackrel{?}{x}$$ and $$\stackrel{?}{y}$$ to two decimal places. Round your answers for $$a$$ and $$b$$ to three decimal places.) $$\begin{array}{l}\stackrel{?}{x}=\\ \stackrel{?}{y}=\\ \hat{y}=\end{array}$$ (c) Graph the least-squares line. Be sure to plot the point $$(\stackrel{?}{x},\stackrel{?}{y})$$ as a point on the line. (d) Find the value of the coefficient of determination $$r^2$$. 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? (Round your answer for $$r^2$$ to three decim places. Round your answers for the percentages to one decimal place.) explained unexplained (e) The calves you want to buy are 21 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal placesi) $$\mathrm{kg}$$