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Question 2: (a) In a chemical process, suppose that the product's yield is related to the process-operating temperature. Regression analysis can be used to build a model to predict the yield at a given temperature level. This model can also be used for process optimization, such as finding the temperature level that maximizes yield, or for process control purposes. Table 2 shows the purity of oxygen produced in a chemical distillation process, and x is the percentage of hydrocarbons that are present in the main condenser of the distillation unit. Using the oxygen purity data in Table 2, devise a fitted simple linear regression model. (a) Dalam suatu proses kimia, andaikan bahawa hasil produk adalah berkaitan dengan suhu proses operasi. Analisis regresi boleh digunakan untuk membina model untuk meramal hasil pada tahap suhu yang diberikan. Model ini juga boleh digunakan untuk pengoptimuman proses, seperti mencari tahap suhu yang memaksimumkan hasil, atau untuk tujuan kawalan proses. Jadual 2 menunjukkan ketulenan oksigen dihasilkan dalam proses penyulingan kimia, dan x ialah peratusan hidrokarbon yang terdapat di dalam pemeluwap utama unit penyulingan. Dengan menggunakan data ketulenan oksigen dalam Jadual 2, ranka model regresi linear 'fitted' (15 markah/ marks) Jadual 2/Table 2: Oxygen and Hydrocarbon Level Observation Hydrocarbon Level x Purity v(%) Number (%) 1 0.99 90.01 1.02 89.05 0.83 91.43 1.29 93.74 1.46 96.73 1.36 94.45 0.87 87.59 1.23 91.77 1.55 99.42 1.40 92.33 1.19 93.54 12 1.15 92.52 13 0.98 90.97 14 1.01 89.5 15 1.11 39.53 (b) Using the developed simple linear regression model, compute the level of hydrocarbon (%) if the Oxygen purity (%) is 92%. (b) Dengan menggunakan model regresi linear sederhana yang dimodelkan, hitung tahap hidrokarbon (%) jika ketulenan Oksigen (9%) adalah 92%% (3 markah/marks) (c) Discuss a human's effect that inhale the product produced by the combustion reaction of hydrocarbon fuels when there is not enough oxygen is supplied.9. GARBAGE The table below gives the number of millions of tons of municipal solid wastes in the United States from 1960 to 2010. Year 1960 1970 1980 1990 1994 2000 2004 2005 2006 2007 2010 Waste (millions of tons) 88 121 152 197 209 239 250 253 254 255 250 a) Draw a scatterplot using Excel of time since 1960 on the horizontal axis and Waste on the vertical. Use an appropriate scale for each axis, label your axis and title your graph. b) Use Excel to find the trend line for this scatter diagram. Give the equation on the graph c) Interpret the slope and y-intercept of your equation. Make sure you use correct units d) i) Use your equation to calculate the amount of waste in 2010. ii) Is your estimate close to the amount in the table? If your answer to b) was "no", what is happening in the real world that is affecting the predictions? iii) Use your equation to extrapolate the amount of waste in 2020. Do you think this prediction will be accurate? Why?Researchers from the university of Kent, UK, were interested in whether collectivist or individualist attitudes are related to one's intent to comply with social distancing and safety guidelines during COVlD-lg. Participants were classified as either collectivist or individualist, and rated their intent to comply with guidelines on a scale from 1-5, where l is definitely not and 5 is definiter yes. Please conduct an independent-groups t test to determine if there is a significant difference in intention to comply between individualists and collectivists. Please: - state: research design, IV, DV - show your work for all four steps of hypotheses testing - report Cohen's d - report r2 - conduct and interpret an F-MAX test - include 95% confidence interval - IMPORTANT: report your answer in words that directly address the research question and report statistics in APA format {including p-value] - sketch graph for the findings {clearly name the axis) Collectivist xf 3 2 4 6 5 12 Individualist x f 1 1 2 3 3 11 4 13 5 2 Which brand of soft drink is preferred? A Gender survey was conducted in a certain country, Preference Female Male Total and the data is summarized in the table to Brand A 42 18 60 the right. Complete parts (a) through (d) 39 24 63 below. Brand B Neither/Unsure 169 208 377 Total 250 250 500 a. What is the probability that a randomly selected person prefers neither or is unsure? (Type an integer or a decimal. Round to three decimal places as needed.) b. What is the probability that a randomly selected person is female and prefers neither or is unsure? (Type an integer or a decimal. Round to three decimal places as needed.) c. What is the probability that a randomly selected person is female or prefers neither or is unsure? (Type an integer or a decimal. Round to three decimal places as needed.) d. Explain the difference in the results in (b) and (c). O A. The two attributes in part (b) are collectively exhaustive, while those in part (c) are not. O B. The probability in part (b) is a marginal probability, while the probability in part (c) is a joint probability. O C. The two attributes in part (b) are mutually exclusive, unlike those in part (c). O D. The joint event in part (c) includes the possibility that just one of the two attributes occurs.c. Compute the Z scores. (Round to three decimal places as needed.) Data (X) Z Score 9 10 5 13 Are there any outliers? O No O Yes d. What is the shape of the data set? O Positive (right-skewed) because the mean is greater than the median O Negative (left-skewed) because the mean is less than the median O Symmetric because the mean is equal to the medianThe following set of data is from a sample of n = 6. 9 3 10 9 5 13 2 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set. a. Compute the mean, median, and mode. Mean =(Type an integer or decimal rounded to four decimal places as needed.) Compute the median. Median = (Type an integer or a decimal. Do not round.) What is the mode? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The mode(s) is/are (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) O B. There is no mode for this data set. b. Compute the range. Range = (Type an integer or a decimal. Do not round.) Compute the variance. s' =(Round to three decimal places as needed.) Compute the standard deviation. S=(Round to three decimal places as needed.) Compute the coefficient of variation. CV =% (Round to three decimal places as needed.)