Questions about length only: 1. 2. 3. 4. What is the mean length of the units? What is the standard deviation of the length of the units? Assuming the lengths are normally distributed, and using the mean and standard deviation from questions 1 and 2, what is the z-score of the length of the unit with serial number 12890? If a new unit of Covidium is found, what is the probabilitv that it will be longer than unit 12890? Questions about mass only: 5. 6. 7. 8. Give the 5-number summary:r for the distribution of mass of the units. What is the interquartile range of this distribution? Give a histogram for the mass of the units. Remember that a good histogram should have 5-15 bars. Is the distribution symmetric or skewed? If skewed, in which direction? Questions about length and mass: 9. 10. 11. 12- 13. 14. What is the correlation between length and mass? Give the equation for the regression line, where mass is the dependent variable and length is independent. What is the residual for unit 12890? Give a scatterplot and graph the regression line. Which unit numbersls) would be considered inuential points? Suppose a new unit is found with mass 14g. Use the regression line to predict its length. A B C 1 Unit Seria Length (c Mass (9) 10344 4.81 15.2 10434 6.73 15.7 4 10475 5.58 26.5 10798 7.15 18.7 11052 3.03 14.2 11100 2.43 16.2 11374 7.8 17.3 11778 7.18 10.5 10 11962 4.0 18.3 11 12347 7.74 16.3 12 12637 2.54 11.8 13 12800 8.18 20.3 14 12042 12.64 21.8 15 13085 2.59 15.3 16 13440 7.14 15.7 17 13511 3.17 12 18 13588 6.75 18.5 19 13822 5.17 14.7 20 13972 10.71 27.5 21 14287 4.86 13.8 22 14370 7.96 17.7 23 14607 4.6 13.6 24 14813 4.1 12.3 25 14841 5.82 14.6 26 14977 6.88 15.2 27 15155 5.11 12.4 28 15223 4.72 16.4 20 15338 7.91 18.7 30 15637 1.63 10.9 31 15720 5.4 16.3 32 15064 5.52 17.7 33 16190 6.43 17.4 34 16433 6.41 16.7 35 16770 4.44 13.5 36 16063 3.7 16.1 37 17311 2.25 15.8 38 17585 5 17.8 30 17639 5.27 16.2 40 17767 5.77 14.4 41 18145 7.6 22.5 42 18523 3.46 14.8 43 18761 5.44 15 44 19005 5.52 17.8 45 19064 5.7 10.5