MATH 282 - Statistics Assignment (Version D) - Total /50 4000 Show your work for full marks. Late assignments will not be accepted. 5000 70 Part 1 6000 75 7000 100 1. For the data below. al Construct a frequency table by starting at 10 and using a class width of 20. [3 marks] Part 2 by Construct a stem and leaf plot. [2 marks] 1. Police investigators and forensic scientists can often predict the height of a suspect just c) Construct a histogram. [3 marks] from a footprint that was left behind at a crime scene. This is because the size of a person's foot tends to relate to the height of a person. As you might already know, this is d) P70 [2 marks] a positive relationship. The taller the person, the larger their feet tends to be. Data given el Q1 and Q3 [2 marks] below: f) The interquartile range [2 marks] Length of 28.1 21.0 28.8 31.8 32.3 22.2 gi Identify any outliers and explain why [2 marks] footprint 12, 18, 10, 22, 27, 35, 36, 38, 42, 44, 47, 55, 55, 63, 62, 72, 76, 78, 83, 89, 95, 95, 99, 100 cm Height 176.1 162.6 166.2 184.3 173.6 152.3 [cm] 2. The following sample represents the number of adjustments needed in a year for a particular biomedical instrument: a| Determine the least squares regression line [3 marks] 1, 5, 16, 1, 4, 5, 6, 4, 6, 6 b) Create a scatter plot to display the data and draw the line of best fit. [3 marks] c) Determine the linear correlation coefficient [3 marks] Find the: a) mean [2 marks] 2. The heart rates for puppies are normally distributed, with a mean heart rate of 183 beats bj median [2 marks] cj mode [1 mark] per minute with a standard deviation of 7 bom (beats per minute). dj range [2 marks] al What percentage of puppies will have heart rates of less than 180 bpm? [3 marks] el standard deviation [3 marks] b) What percentage of puppies will have heart rates between 145 bom and 170 bpm? [3 marks] 3. Listed below are the bone strain (() and stress (MPa) readings. c) 20% of all puppies will have a heart rate greater than what value? [3 marks] a) Draw a scatterplot of Stress versus Strain, [3 marks] Find the equation for the regression equation. ( Round the coefficients to 2 decimal places) [3 marks] Strain x Stress y 1000 2000 33 3000 47