chw9.2. linear regression: finding an orbit observatories around the world have spotted a new comet that is circling the sun in an elliptic orbit. your group at nasa is now trying to determine the comet's precise orbit. by kepler's laws of planetary motion, the position of the newly discovered comet (in polar coordinates) satisfies an equation of the form where is a constant (called the semilatus rectum) and is the eccentricity of the the orbit. the data from the observations of the comet is summarized in the plot below. each point from the plot on the right represents an observation of the comet's position in polor coordinates. this information is stored in the 2d numpy array observation data. the values are stored in the first row of observation data and the values are stored in the second row of observation data . 1) you are asked to find the orbit using least-squares methods. consider the linear system that consists of every equation of the form where each is a single data point. find the least-squares solution of this linear system. store the solution numbers in beta and e, respectively. 2) the comet is observed at (radians). how far away from the sun is the comet? store the answer as