Question 5 (20 points) We measures the force (F) needed to extend a spring 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.8 3.0 mDistance (cm) 3.08 3.76 4.31 5.02 5.51 6.25 6.74 7.40 8.54 9.24 By Hook's law, we seek to model the relationship by Y.- = km; +5. Assume that all assumptions of simple linear regression hold. (a) Derive the least square estimator for the parameter k. (b) Calculate the value of the least square estimate of it. You may use 2;! mil"; = 128.296 and 23:1 23 = 395.3199. (c) What is the tted value of the force needed to extend the spring by 2.6m