In this study you want to quantify the relationship between a penguin's flipper length measured in millimeters and its body mass measured in grams. You have the below data and some summary statistics to speed the process. flipper_length_mm SSx 1700.667 SSy 3816667 body_mass_g 197 4150 203 4100 223 5550 186 3550 195 4400 201 3950 199 3900 213 4400 184 3900 219 5200 189 3800 195 3900 SScp 71216.67 SSresid 834416.4 A. Calculate and report the full regression equation (i.e., the least squares line) for the data above. Please show your work. (5 points) B. Write out your hypotheses to test whether increasing flipper length increases body mass (2.5 points) Assume alpha = 0.05 and that assumptions are met (since we don't have access to R here) C. Calculate the test statistic. Please show your work (5 points) D. Find the table-value (2.5 points) E. Write a statistical conclusion (2.5 points) F. Write a conclusion for the public (2.5 points)