Find the seasonal variations by the method of 'ratio to trend' for the followin data of sales of a company : II III IV I Year/Qtrs. 80 72 68 2011 60 104 100 88 2012 68 116 108 96 2013 80 108 152 136 124 2014 2015 160 184 172 164

For the data set, perform exponential smoothing with alpha = 0.1 to determine the forecast for week 20.   week Sales (1000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 13 31 14 34 15 31 16 33 17 28 18 32 19 30

Year Percent of workers paid hourly rates 1979 61.2 1980 60.7 1981 61.3 1982 61.3 1983 61.8 1984 61.7 1985 61.8 1986 62.0 1987 62.7 1990 62.8 1992 62.9 The percent of female wage and salary workers who are paid hourly rates is given above for the years 1979-1992. a. Using "year" as the independent variable and "percent" as the dependent variable, make a scatter plot of the data. b. Does it appear from inspection that there is a relationship between the variables? c. Find the estimated percents for 1991 and 1988. d. Use the two points in part C to plot the least squares line on your graph from part A.

Does this graph have trends and/or seasonality? What forecasting method is suitable for this data?

Use the Women's Earnings scatterplot below to answer the questions. Women's Earnings as a Percentage of Men's Earnings 90 80 70 60 50 y = 0.617x - 1156.3 R² = 0.9302 40 30 20 10 1979 1984 1989 1994 1999 2004 2009 Year Use the equation for the trend line to estimate women's earnings as a percentage of men's earnings in 2000. (Round to the tenths place.) Percentage

C. Describe the four characteristics of association

Desmos | Graphing Calc Year Time (seconds) 1912 82.2 1924 72.4 1932 66.8 1952 66.8 1960 61.2 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1 a. Decide which variable should be the independent variable and which should be the dependent variable. b. Draw a scatter plot of the data. C. Does it appear from inspection that there is a relationship between the variables? Why or why not? d. Find the equation in the form of: y= a + bx. e. Find the correlation coefficient. f. Find the estimated gold medal time for 1932. Find the estimated time for 1984. g. Why are the answers from part f different from the chart values? h. Does it appear that a line is the best way to fit the data? Why or why not? i. Use the least-squares line to estimate the gold medal time for the next Summer Olympics (Assuming they would be in 2020). Do you think that your answer is reasonable? Why or why not? Note that the fastest speed time in recorded history as of 2020 was 51.22 seconds for the 100 meter…

Give typed full explanation

Q3 A manufacturer has plotted product sales over the past four weeks. Use a linear trend line to generate a forecast for week 5. T (week) Y (Sales) 1 2300 2 2400 3 2200 4 2600

Following shows the numbers of Amazon Prime members in the millions, each quarter from 2016 to 2021. Quarter    2016     2017     2018     2019     2020        2021              1               26          36          48         62          81          98              2               27          37          50         65          83         103              3               29          40          53         69          86         109 4               33          44          57         74          93          117           Construct a line chart using the data.  Describe the relationship between the time and number of subscribers.