For Sherlock Holmes the "science of deduction" was the ultimate key to solving every mystery. Distance between footprints (length of stride) told the master detective the height of a criminal he was pursuing. What kind of relation is there between a person's height and the length of stride? A random sample of 12 people provided the following data. For this data x - length of stride in inches and y = person's height in inches. Suppose we wanted to test for a significant correlation at the .05 level of significance. x 15 17 19 11 16 22 17 25 14 15 25 26 (@) Make a scatterplot on the grid below. Be sure to label both axes with the appropriate measure (not just x and y). 96 92 B8 84 BO 76 72 68 64 60 560 12 14 16 18 20 22 24 26 28 30 Calculator steps: STAT - > EDIT Enter the X Values in LI and Y Values in L2. STAT -> TESTS -> LinRegTTest. Make sure the Xlist is LI and Y-List is L2. Leave everything else the same. The calculator will give you the values of r (correlation), a (y-intercept), b (slope), and (coefficient of determination) to complete the rest of this activity. (b) Give the correlation coefficient (r). (c) Provide the regression equation. This should be in the form y = a + bx with the values of a and b from your calculator plugged into the equation. (d) If a suspect had a stride of 22 inches, use the regression equation to predict their height. (e) Give the coefficient of determination / and interpret what it means