In a study conducted in Scandinavia, certain physiological parameters of endurance horses were found to be related to performance.29 A random sample of horses and races was obtained. The total fluid...

In a study conducted in Scandinavia, certain physiological parameters of endurance horses were found to be related to performance.29 A random sample of horses and races was obtained. The total fluid intake pre-race (x, in liters) and the speed of the horse during the race (y, in km/h) was measured for each. HORSES

a. Find the estimated regression line, and compute the residuals.

b. Conduct an F test for a significant regression. Explain your results in the context of this problem.

c. Carefully sketch a plot of the residuals versus the predictor variable and a normal probability plot of the residuals. Do these graphs provide any evidence that the simple linear regression assumptions are invalid? Justify your answer.

In a simple linear regression analysis, show that the sum of the residuals is always 0. Hint: In the definition of the ith residual, use the definition