51. Below are given the annual production figures (in thousand tonnes) of a fertiliser factory: Year 2011 2012 2013 2014 2015 2016 2017 Production : 70 75 90 91 95 98 100 () Fit a straight line trend by the method of least squares and tabulate the trend values. (in Convert your annual trend equation into a monthly trend equation.
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- The correlation coefficient between the yearly returns of two mutual funds is 0.20. What does that mean about the strength and direction of the linear relationship between the returns of the two funds?The relationship between sleep hours and overall happiness level on the next day was estimated as below in a linear format. (Happiness level is measured through a five-point scale: 1 = Extremely unhappy, 5 = Extremely happy) Overall happiness level = 0.27 * Sleep hours + 2.34 (The p-value for the coefficient of Sleep hours is 0.02.) Based on this equation, what is the expected happiness level of a person on a certain day, when he slept 7 hours the day before?A) What is the purpose of the “callout bubble” in the bottom right-hand corner of the graph, showing a tiny red square inside the yellow square? Why do you suppose the author felt the need to use a callout bubble? B) Data from this source show that the rate of symptomatic infection with COVID for people who have been vaccinated is about 100 infections per 102,000 vaccinations. As of July 30, 2021, data show that164,000,000 Americans have been fully vaccinated. How many of these vaccinated Americans would be expected to become infected with COVID and display symptoms? C) Data from this source show that the rate of death from COVID for people who have been vaccinated is about 1 death per 102,000 vaccinations. As of July 30, 2021, data show that 164,000,000 Americans have been fully vaccinated. How many of these vaccinated Americans would be expected to die from COVID?
- The manager of a popular tourist resort wants to use the manual trend projection forecasting technique and exponential smoothing without trend to forecast room occupancy at the resort for the next 4 years. Using numerical example, demonstrate how these techniques can be used to do the forecast.Are the data displayed in the graph above discrete or continuous? What is the level of measurement of the data? Are the data above time series or cross-sectional data? Examine the data for each race/ethnicity group. Do the data represent a stationary or nonstationary process? Do any of the race/ethnicity groups exhibit a decreasing trend? Do any of the race/ethnicity groups show a strictly increasing trend over the entire time period from 2000 to 2016?The table given below indicates Small Holding Ltd.’s quarterly profits in 2019 and2020.Time Period Profit (Thousands Of Rands)2019 Q12019 Q22019 Q32019 Q42020 Q12020 Q22020 Q32020 Q4250210165195265218178204Q.6.3.1 Determine the trend regression function for this data set. In order toobtain full marks for this question, you must complete the relevanttable (template provided below) and then apply the appropriate timeseries formulae in the formulae sheet.
- The following gives the number of accidents that occured on Floridaq State highway 101 during the last 4 months" month jan feb mar apr # of accidents 30 45 60 95 Using the least-squares regression method the trend equation for forecasting is (round your responses to two decimal places): ^Y=[__]+[___]XA prospective cohort study is run to estimate the incidence of stroke in persons 55 years of age and older. All participants are free of stroke at study start. Each participant is followed for a maximum of 5 years. The data are summarized in Table 3–14. Number of Strokes Number of Stroke-Free Person-Years Men (n = 125) 9 478 Women (n = 200) 21 97 What is the annual incidence rate of stroke in men? What is the annual incidence rate of stroke in women? What is the annual incidence rate of stroke (men and women combined)?what is meant by the term “residual”?
- Based on the given sales volume of AZ’s sanitizer product for 16 weeks, construct the trend projection using graphs, 3 weeks moving average, and exponential smoothing methods. Weeks Sanitizer sales 1 5600 2 5200 3 4570 4 4305 5 5465 6 8900 7 15680 8 24680 9 35040 10 36500 11 38575 12 35300 13 35200 14 35150 15 34950 16 345005. When the Pearson Product Moment Correlation is equal to -0.68, there is a ______ linear trend.The table given below indicates New Holding Ltd.’s quarterly profits in 2019 and 2020.Time Period Profit (Thousands Of Rands)2019 Q1 2502019 Q2 2102019 Q3 1652019 Q4 1952020 Q1 2652020 Q2 2182020 Q3 1782020 Q4 204 Determine the trend regression function for this data set. Given that the typical seasonal index for Q3 is 87.3, use this informationand the trend regression function obtained to determine theseasonally adjusted trend estimate for profits in Q3 of 2022.