30 150 25 20 100 15 10 5 50 10 15 20 25 30 35 50 100 150 200 x (age of calf (in weeks)) x (age of calf (in weeks)) 200 35 30 150 25 20 100 15 10 > 5 50 OF 5. 10 15 20 25 30 35 50 100 150 200 x (age of calf (in weeks)) X (age of calf (in weeks)) (e) Find the value of the coefficient of determination . 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 to four decimal places. Round your answers for the percentages to two decimal place.) explained % unexplained % (f) 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 places.) kg y (calf weight (in kilograms)) y (calf weight (in kilograms) y (calf weight (in kilograms)) y (calf weight (in kilograms))

Show that E(y^2)= standard deviation square y plus residual square capital Y

Clinical research attempts to identify the risks of exposure tothe population in the workplace. In a group of 46 menBetween the ages of 25 and 36, changes in the function of their lungs have been measured. One of the variables of interest was the volumeexhalation force (VFE), which is the volume of air exhaled per second. At the end of a certain period, it was found that the VFE of `this sample decreased with an average of 0.27 liters and a deviation0.52 liter sample type. We know that the VFE increases by 0.1liter in healthy men of the same ageduring the same period of time. Can we conclude that the middle ofwork of this group plays a significant role in the growth ofVFE greater than 0.1 liter? Choose the appropriate hypothesis testto do. Give the value - P and your conclusion. Take α = 0.02.

BASED ON THIS DATA, what does the r^2 values tell you? and the linear regression line  is the information statistically significant?