We measures the force (F) needed to extend a spring Y Force (F) 1 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; : k201- +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 2321 mil\";- : 128.296 and 2;; $3 : 395.3199. ((3) What is the tted value of the force needed to extend the spring by 2.60m