QUESTION 4 Which of the following best describes the trend of the graph? Scatterplot of Live Births per 1000 Women vs Age of Mother 120 100 80 60 40 20 10 15 20 25 30 35 40 45 Age of Mother (in years) There is a positive linear trend. There is a negative linear trend. There is no linear trend. Live Births per 1000 Women
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- Year Missouri Maine 1950 38800 29400 2000 89900 98700 If these trends were to continue, what would be the median home value in Missouri in 2010? c) If we assume the linear trend existed before 1950 and continues after 2000, the two states' median house values will be (or were) equal in what year?Measles and Mumps A researcher wishes to see if there is a relationship between the number of reported cases of measles and mumps for a recent 5-year period. Is there a linear relationship between the two variables? Measles Cases 44 150 62 53 208 Mumps Cases 807 436 2021 2559 357An electronic appliance manufacturer wants to know if there is a relationship between percentage change in deposable personal income which is reported quarterly by the government, and the percentage change in appliances sold by the manufacturer following same years of quarterly data. Brenda Chee and Clarence Paulus lead an analyst team has obtained data for the past 10 quarters. (Hint: Provides your answers in two decimal points) Quarter Percent change in income Percent Change in appliance sold Quarter Percent change in income Percent change in appliance sold 1 -2.3 -2.5 6 -1.0 1.0 2 -1.5 -1.0 7 0.7 1.4 3 2.8 7.4 8 5.2 3.4 4 0.5 2.6 9 -2.5 -0.5 5 4.6 8.5 10 1.7 1.8 (a) What forecasting model should be used for this data. Why?(5(b) Develop the forecasting model that you have proposed in (a).(c) Compute the relationship for these data. In your opinion, is the relationship between independentvariable…
- Question 4 The below data represent the advertising expenditure and sales of Little Liu Ltd from year 2008 to 2017. Table: Advertising Expenditure vs. Sales from 2008 to 2017 Year Advert. Expenditure Sales (x, £000) (y, £000) 2008 8 30 2009 12 40 2010 11 29 2011 5 29 2012 14 43 2013 3 17 2014 6 20 2015 8 30 2016 4 22 2017 9 40 Total 80 300 Figure: Scatter Diagram of Advertising Expenditure and Sales with Trend line a) What is the statistical relationship shown in the Figure and list out 3 characteristics of this relationship? b) Work out the values of parameters of the relationship shown in the Figure (i.e. work out the equation of the relationship) c) Explain the relationship and make recommendation to Little Liu Ltd based on the information given.A farmer's marketing cooperative recorded the volume of wheat harvested by its members from 1991-2004. The cooperative is interested in detecting the long-term trend of the amount of wheat harvested. The data collected is shown in the table. Wheat Harvested by Coop. Member Year Time (y, in thousands of bushels) 1991 1 75 1992 2 78 1993 3 82 1994 4 82 1995 5 84 1996 6 85 1997 7 87 1998 8 91 1999 9 92 2000 10 92…Question 4 The below data represent the advertising expenditure and sales of Little Liu Ltd from year 2008 to 2017. Table: Advertising Expenditure vs. Sales from 2008 to 2017 Year Advert. Expenditure Sales (x, £000) (y, £000) 2008 8 30 2009 12 40 2010 11 29 2011 5 29 2012 14 43 2013 3 17 2014 6 20 2015 8 30 2016 4 22 2017 9 40 Total 80 300 Figure: Scatter Diagram of Advertising Expenditure and Sales with Trend line (attached as image) a)What is the statistical relationship shown in the Figure and list out 3 characteristics of this relationship? b) Work out the values of parameters of the relationship shown in the Figure (i.e. work out the equation of the relationship). c)Explain the relationship and make recommendation to Little Liu Ltd based on the information given.
- The following table gives the average monthly exchange rate between the U.S. dollar and the euro for 2009. It shows that 1 euro was equivalent to 1.289 U.S. dollars in January 2009. Develop a trend line that could be used to predict the exchange rate for 2010. Use this model to predict the exchange rate for January 2010 and February 2010. MONTH ______________________ EXCHANGE RATE January ....................................... 1.289 February ...................................... 1.324 March ......................................... 1.321 April .......................................... 1.317 May ........................................... 1.280 June ........................................... 1.254 July ........................................... 1.230 August ....................................... 1.240 September ................................... 1.287 October ..................................... 1.298 November .................................. 1.283 December…Dehoratius Electronics Inc. wants to understand what will be the demand for their product Ezer for the ninth year .The demand for Ezer over the past 7 years is shown in the following table. The firm wants to forecast next year’s demand by fitting a straight-line trend of these data. Year 1 2 3 4 5 6 7 Ezer demand 79 84 85 95 110 147 127U.S. Civilian Labor Force (thousands) Year Labor Force Year Labor Force 2007 153,918 2012 155,628 2008 154,655 2013 155,151 2009 153,111 2014 156,238 2010 153,650 2015 157,957 2011 153,995 2016 159,640 1. Fit three trend models: linear, exponential, and quadratic. Which model would offer the most believable forecasts? 2. Make forecasts using the following fitted trend models for years 2017-2019. t Exponential 11 12 13
- A pharmacist has been monitoring sales of a certain over-the-counter pain reliever. Daily sales duringthe last 15 days wereDay: 1 2 3 4 5 6 7 8 9Number sold: 36 38 42 44 48 49 50 49 52Day: 10 11 12 13 14 15Number sold: 48 52 55 54 56 57a. Which method would you suggest using to predict future sales—a linear trend equation or trendadjustedexponential smoothing? Why?b. If you learn that on some days the store ran out of the specific pain reliever, would that knowledgecause you any concern? Explain.c. Assume that the data refer to demand rather than sales. Using trend-adjusted smoothing with aninitial forecast of 50 for week 8, an initial trend estimate of 2, and .3, develop forecastsfor days 9 through 16. What is the MSE for the eight forecasts for which there are actual data?The median home value in West Virginia and Kentucky (adjusted for inflation) are shown below. Year West Virginia Kentucky 1950 33200 32000 2000 72800 86700 If we assume that the house values are changing linearly,a) In which state have home values increased at a higher rate? b) If these trends were to continue, what would be the median home value in West Virginia in 2010?$ c) If we assume the linear trend existed before 1950 and continues after 2000, the two states' median house values will be (or were) equal in what year? (The answer might be absurd)The yearice cream sales and violent crime rates are closely correlated, but they are not causally linked with each other. Include the data or graph if possible, as well as the r or r2 value.
