HOMEWORK ASSIGNMENT 3: Correlation and regression DEADLINE: November 15, 2021 All homework assignments MUST be submitted to the Dropbox option in Courselink (uploading multiple files will be allowed). . Answers to questions that are handwritten must be done so legibly and a quality image (photo or scan) can be uploaded to Dropbox (make sure you view your image before uploading). Note that assignments that are not legible will not receive full credit. Assignments submitted to the Dropbox after the deadline will be assessed a late fee of 10% per day, up to a maximum of 5 days (after that, assignments will not be accepted). Emailed assignments to the instructor and/ or TA's will not be accepted. QUESTION 1 The table below lists the results of the men's 100m final from the 2009 IAAF World Championships in Athletics (Berlin, Germany), along with each athlete's reaction time in response to the starter's pistol. Is there a statistically significant relationship (0.05 level) between reaction time and 100m performance time? Make sure to follow the hypothesis testing approach, as outlined in lecture (i.e., hypotheses statements, df calculations, etc.). You are free to perform some calculations by hand (particularly for the final r-value) but must use MS EXCEL for calculations as well. ATHLETE Mark (sec) Reaction time (ms) Usain Bolt (JAM) 9.58 0.146 Tyson Gay (USA) 9.71 0.144 Asafa Powell (JAM) 9.84 0.134 Daniel Bailey (ANT) 9.93 0.129 Richard Thompson (TRI) 9.93 0.119 Dwain Chambers (GBR) 10.00 0.123 Marc Burns (TRI) 10.00 0.165 Darvis Patton (USA) 10.34 0.149