In matlab

Appropriate dosing for cytotoxic anticancer agents has been largely determined from prospective and retrospective studies in which the goal was to maximize efficacy and minimize toxicity. The starting dose for conventional cytotoxic agents in Phase I studies has generally been based on animal studies, where doses are usually escalated until the LD10 is reached (the dose that results in lethality in 10 percent of the treated animals). The following table shows the dosage vs lethality values for a given cytotoxic anticancer drug. 5.8 a) (10\%) Find the linear regression and coefficient of determination of the above data, do not use the built-in functions like polyfit or linsolve. b) (10\%) Identify if a quadratic relation has a better fit, do not use the built-in function polyfit. c) (5\%) Estimate lethality for a dosage equal to 30 and a dosage equal to 75 using the quadratic model found in (b). Is your estimate reasonable in either case? d) (5\%) Fit the above function using the built-in function polyfit for a linear and quadratic fit and compare your parameter results to those found in parts (a) and (b). e) (20\%) Plot both the linear and quadratic models and their residuals. Label x and y axis appropriately. \% To save you some time here is the data pre-loaded Dosage =[4,5,10,12,23,26,29,39,40,46,54,61]; Lethality =[5.8,4.2,4.4,7.2,3.4,4.4,6.2,7.,13.6,10.4,14.6,18.8]