Problem 3 [5pts]. For problem 3, please include your Python code and any generated graphs. Note that some of the answers are qualitiative analyses, with more than one right answer, and they will be marked on the overall quality of your reasoning. I also encourage you to additionally submit a link to your code within your PDF report if you used a Google colab It is the year 3035 A.D. You are part of a corps of 300 field exobiologists associated with the Microscopic Europan Terraforming Assocation (META), which aims to transform Jupiter's moon Europa into an Earth- like Ocean world. You are the chief biologist of sector Ox3c238665. As part of the terraforming process, the corps introduced a large quantity of phytoplankton to Europa in the year 3001, and you have been measuring the biomass each year since then in your sector in tons. For the META35 report this year, you are tasked with modelling the phytoplankton population. Year (t) Biomass (b) 15.688519041654942 15.994741521809628 16.780153466068263 17.248090141804745 17.386559628201518 15.675335643101228 17.118571919126232 16.412514081156594 16.583417260076384 10 16.822014274669527 11 19.338270040912526 12 18.234873422140087 13 17.34296022978295 14 17.40038122171573 15 18.934611146841146 16 20.689659797644037 17 19.123009434469957 18 19.013967803070994 19 19.72451998120902 20 19.46379788964467 21 19.318570291505115 22 19.928668424139232 23 19.530187614661227 24 20.930311942833853 25 21.217913511959033 26 23.18032482520719 27 23.162112540282447 28 22.84579747845494 29 24.470433251629405 30 24.185172244790184 31 24.127029934523215 32 23.78757258755908 33 27.132844321371557 34 28.03312010178436 35 27.042456081305552 (a) [1pt] Use linear regression in Python to find the best fit line. (b) [1pt] Plot the best-fit line and give the equation. (c) [1pt] What does your model predict to be the biomass in the year 3036? What about in 3050? (d) [1pt] Try fitting a quadratic model instead. What are the predictions for 3036 and 3050? (e) [1pt] Which model do you think is better? Why