theorem.nebraska.edu C a a a a X 43. The World Population (United Nations database) is given in the data table below. Find an appropriate model for the population growth Years since 6 11 16 21 26 31 36 41 46 51 1949 Population 2519 2755 3020 3334 3691 4066 4430 4825 5255 5662 6057 (millions) a. Population = 1.018(2502.17) Yours b. Years = 1.018(2502.17) Population c. Population = 2502.17(1.018) Years d. Years = 2502.17(1.018) Population 44. The model Mortgage - 0.996 (1.186) Yomrepresents the amount of mortgages that the Republic National Bank has issued. (Mortgage = Mortgages at Republic National Bank in millions of dollars; Years = years since 1968). Predict the total of mortgages for 1992. a. $59,743,667 I b. $197,059,826 c. $54,482,454 d. $50,374,087 45. Write the model which best describes a video which goes viral. On the first day it had 1,000 viewers when then tripled each day thereafter. a. Viewers = 1, 000 + 3 days b. Viewers = 1000 (days) 3 c. Viewers = (1000 * 3) days d. Viewers = 1000(3) days 46. The model grams = 319.89(0.842) days describes the amount remaining of a radioactive element which decays over time. Describe in context the residual for (4, 160). a. The amount of the element that was remaining after 4 days was 0.79 grams less than the amount predicted by the model. The amount of the element that was remaining after 4 days was 0.79 grams more than the amount predicted by the model. The new amount of the elements is 160.79. d. After 4 days, there is 160 grams remaining. Unit 2 Evaluation 163 MTHH 041 NOV 20Use this information to answer questions 39-41. Your new job at Panasony is to assemble of home theater systems. You get faster as you learn the job. The data shows your average assembly time for one system during each of your first 10 weeks on the job. Week 2 3 5 6 7 8 9 10 Time (min) 45 39 35 33 32 30 29 28 26 25 39. Which of the following conditions is not used as justification for using correlation based on the data in the table? a. Quantitative variables condition b. Straight enough condition c. Negative association d. Outlier condition 40. What is the model based upon this data? a. Time = -1.94 + 20.6 Week b. Time = 20.6-0.47 Week c. Time =-1.94 + 42.9 Week d. Time = 42.9 -1.94 Week 41. Your company tells you that you will qualify for a raise if after 13 weeks your assembly line averages under 20 minutes. Does your model predict that you will meet that goal? a. Yes, however this is a poor estimate due to extrapolation. b. Yes, the prediction is 17.68 minutes which is less than 20 minutes. c. No, since the residual plot has a curved pattern. d. No, since by the tenth week, the time is still 25 minutes. 42. Write an equation to describe the water remaining in a 50 gallon aquarium that starts full but has a leak losing 1% of its volume each hour. a. Gallons = 50-0.01hours b. Gallons = 50(0.99) hours c. Gallons = 50(hours) 0.99 d. Gallons = 50(hours) 0:01