Solve the problem below

4. Kinematic viscosity. The Kinematic viscosity of a certain solvent system depends (among other things) on temperature. Figure 2 shows Kinematic viscosity measurements (10 5m /s) for different levels of temperature (C). Kinematic Viscosity (10 m?/s) 1.0 1.5 2.0 2.5 3.0 C O O O O a O O oo oo oo oo Do o o 00 0 0 20 40 60 80 Temperature (C) Figure 2: Kinematic Viscosity data for Problem 4 A simple linear regression model was fit to these data and a Lack-of-Fit test was performed: > Kin . reduced F) 1 38 5.9234 2 30 5. 1204 8 0. 80297 0. 5881 0.7797 (a) (6 pts) Identify the following from the above output: i. SSPE = ii. SSE = iii. SSLF =(b) (6 pts) State the null and alternative hypotheses of the lack-oft test and give the test statistic. (c) (5 pts) Based on this test, What can you say about the adequacy of the linear regression function