As a member of Engineers Without Borders, you are working in a community that has contaminated drinking water caused by slow growing bacteria introduced to the cistern from surface water runoff. The water is safe to drink when the concentration of bacteria is below 3758/1000mL. A disinfectant must be added to the community cistern (after every rainfall) when the bacteria level reaches 375#/1000mL in order to make the water safe for human consumption. (The disinfectant is not effective for levels below 375#/1000mL). You take the following measurements after a recent rainfall: t (hours) c(#/1000mL)| 268 | 287 | 298 | 307 | 314 | 320 324 328 333 Develop an M-file function to fit a power model to the data using natural logarithms to perform the transformations (In y versus In x). The function needs to determine 1. the following a. coefficients of the best-fit equation (transformed and untransformed) b. plot the data and the model(transformed and untransformed) c. total sum of the squares, Se d. sum of the squares of the residuals, S e. standard error, S yx g. coefficient of determination, r NOTE: Turn in a hardcopy of the program with your solutions to this problem Use Least Squares Regression to fit an exponential model to the data and find the following: 2. a. best-fit equation b. plot the data and the model(transformed and untransformed) c. total sum of the squares, S d. sum of the squares of the residuals, S e. standard error, Sylx f. correlation coefficient, r g. coefficient of determination, r2 3. Based on problems 1-2 which model best describes the data. Justify and explain your answer. The disinfectant cannot be added until the bacteria concentration reaches 375#/1000mL. Use the best model to calculate the time at which the disinfectant must be added to the cistern in order for the water to be safe for consumption.