A company that operated 10 hours a day manufactures two products on three sequential processes. The following table summarizes the data for the problem: Product Process 1 10 Process 2 6. 20 in Process 3 8. 10 Unit Profit 20 30 Which of the following is the most appropriate representation for variables x and y for the given situation? * x is the # of units of Product 1 to be procured; y is the # of units of Product 2 to be procured. x is the # of units of Product 1 to be delivered; y is the # of units of Product 2 to be delivered. x is the # of units of Product 1 to be produced; y is the # of units of Product 2 to be produced. x is the # of units of Product 1 to be stored; y is the # of units of Product 2 to be stored Which of the following is the most appropriate objective function for the given situation? * Maximize 20x+30y Maximize 30x+20y Minimize 30x+20y Minimize 20x+30y

The design of controls and instruments affects how easily people can use them. Timothy Sturm investigated this effect in a course project, asking 25 right‑handed students to turn a knob (with their right hands) that moved an indicator by screw action. There were two identical instruments: one with a right‑hand thread (the knob turns clockwise) and the other with a left‑hand thread (the knob turns counterclockwise). The table gives the times, in seconds, each subject took to move the indicator a fixed distance. Performance times (seconds) using right‑hand and left‑hand threads Subject Right Thread Left Thread 1 113 137 2 105 105 3 130 133 4 101 108 5 138 115 6 118 170 7 87 103 8 116 145 9 75 78 10 96 107 11 122 84 12 103 148 13 116 147 Performance times (seconds) using right‑hand and left‑hand threads Subject Right Thread Left Thread 14 107 87 15 118 166 16 103 146 17 111 123 18 104 135 19 111 112 20 89 93 21 78 76 22 100 116 23 89…

Brandon works as a statistician for the Toronto Blue Jays, and wants to analyze the relationship between a player's age and how many strikeouts they accumulate in a season. He takes a sample of 5 Blue Jays players with age between 25 and 34 and finds there is a linear relationship between their ages and the number of strikeouts they had in the 2015 season. Here are the numerical summaries for age and the number of strikeouts: r = 0.6, age = 25.3, Sage = 3.2, strikeout = 105.7, S strikeout = 7.48 a) What is the value of b₁, the estimated slope? (Round your answer to 3 decimal places, if needed.) Answer: b) What is the value of bo, the estimated intercept? (Round your answer to 3 decimal places, if needed.) Answer: c) What is the percent of variation in the number of strikeouts that is explained by age, using linear regression? (Round your answer to 2 decimal places, if needed.) Answer: % d) Can we use this linear regression to predict the number of strikeouts for a player age at 37? No,…

Burning fuels in power plants and motor vehicles emits carbon dioxide (CO2), which contributes to global warming. The CO2 emissions (metric tons per capita) for countries varies from 0.02 in Burundi to 44.02 in Qatar. Although the data set includes 214 countries, the CO2 emissions of 15 countries are not available on the World Bank database. The data set is too large to display but the data for the first five countries is given. Use the full data set with data on the 214 countries to answer the questions. To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV Crunchlt! Country CO2 Emissions (Metric Tons per Capita) Aruba 23.92 Andorra 5.97 Afghanistan 0.43 Angola 1.35 Albania 1.61 Find the mean and the median for the full data set. Round your answers to three decimal places. The mean for these data is tons per person The median for these data is tons per person