Written Assignment 6 Use the shared results from the Student Data Table to complete the following problems. Make sure to show all work/calculations. Calculate the Pearson correlation between hand and foot size for members of this STA-201 class. Graph the relationship, determine a hypothesis to test this relationship, and statistically test this hypothesis using alpha=0.05. Interpret all results in a paragraph citing the appropriate statistics. Calculate the simple linear regression to determine if the amount of sleep (y) can be predicted by time spent on homework (x). Graph the relationship and determine, numerically, if there are any outliers. Interpret all results in a paragraph citing the appropriate statistics. ID School Enrolled Months Enrolled Birthday Month Distance to Work (whole miles) Height (whole inches) Foot Size (whole inches) Hand Size (whole inches) Sleep (minutes) Homework (minutes) 1 Arts and Sciences 12 January 0 60 8 5 360 30 2 Applied Science and Technology 6 February 0 62 7 6 400 45 3 Business and Management 8 April 5 66 10 7 420 60 4 Nursing 10 June 10 68 12 8 440 15 5 Public Service 48 July 15 68 14 8 540 75 6 Arts and Sciences 48 June 30 70 12 9 480 120 7 Applied Science and Technology 36 October 32 72 11 8 320 80 8 Applied Science and Technology 32 November 36 75 14 7 440 60 9 Applied Science and Technology 1 August 15 66 10 7 360 840 10 Applied Science and Technology 6 November 12 67 8 7 420 120 11 Applied Science and Technology 30 May 4 69 11 9 380 120 12 Arts and Sciences 13 January 0 67 11 8 450 90 13 Applied Science and Technology 5 December 6 65 9 7 300 120 14 Business and Management 5 November 4 65 10 7 480 180 15 Applied Science and Technology 3 April 30 71 10 11 360 80 16 Arts and Sciences 1 March 1 68 10 8 360 120 17 Applied Science and Technology 12 March 5 69 11 7 240 60 18 Applied Science and Technology 30 January 2 73 11 8 360 360 19 Applied Science and Technology 3 November 30 68 9 7 400 90 20 Business and Management 3 July 17 75 12 7 480 180 21 Business and Management 24 March 21 60 12 8 480 180