Please help me for question1. I would give a 'helpful' rate for your answer. Thanks for your help.

University of California, Davis Department of Biomedical Engineering Fall 2020 Probability and Statistics BIM 105 David M. Rocke for Biomedical Engineers December 3, 2020 Homework Assignment 9 Due December 10, 2020 Always show your work. Use MATLAB for all problems except number 1. 1. The article "Application of Analysis of Variance to Wet Clutch Engagement" (M. Mansouri, M. Khonsari, et al., Proceedings of the Institution of Mechani- cal Engineers, 2002:117-125) presents the following fitted model for predicting clutch engagement time in seconds (y) from engagement starting speed in m/s (x1), maximum drive torque in Nm (x2), system inertia in kg m (23), and applied force rate in kN/s (x4): y = -0.83 + 0.017x1 + 0.0895x2 + 42.771x3 + 0.027x4 - 0.0043x24 The sum of squares for regression was SSR = 1.08613 and the sum of squares for error was SSE = 0.036310. There were 44 degrees of freedom for error. (a) Predict the clutch engagement time when the starting speed is 20 m/s, the maximum drive torque is 17 Nm, the system inertia is 0.006 kg m, and the applied force rate is 10 kN/s. (b) Is it possible to predict the change in engagement time associated with an increase of 2 m/s in starting speed? If so, find the predicted change. If not, explain why not. (c) Is it possible to predict the change in engagement time associated with an increase of 2 Nm in maximum drive torque? If so, find the predicted change. If not, explain why not. (d) Compute the coefficient of determination R2. (e) Compute the F statistic for testing the null hypothesis that all the coef- ficients are equal to 0. Can this hypothesis be rejected