please answer each question and clearly write the steps you took to get the answer

P3. (7 points) Linear regression a) (Ipt) Write the mathematical definition of a linear statistical model. b) (3pt) Sketch an example of data and a linear statistical model on a graph. Use the plot to show the meaning of the residual. (1pt data, Ipt model, Ipt residual) c) (Ipt) Write the formula associated to the slope for the best-fit line. d) (Ipt) Write the formula associated to the intercept for the best-fit line. e) (1pt) A given data set is transformed using the method of reciprocals, and now the data displays a linear trend. What mathematical model best describes the original data? Linear, exponential, power(allometric), or Michaelis Menten model