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- Which of the following is NOT necessary for time series analysis? Question 7 options: Past data that spans at least five years. Past information about the variable being forecast Reasonable expectations that past patterns will extend into the future Past information that is quantified or quantifiableQUESTION 13 Suppose that historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has statistically significantly decreased, what is the p-value? (please round your answer to 4 decimal places)QUESTION 29 Suppose the following are the seasonal indices for the first three quarters of the year for a quarterly series: Quarter Seasonal Index Q1 71.3 Q2 89.4 Q3 108.9 Remember that the seasonal indices should average 100 so you should be able to infer the seasonal index for Q4. Furthermore, suppose that the estimated coeffcients from a regression of the deseasonalized series on Time are given below: Coefficients Intercept 2,885 Time 61.4 What is the forecast for period 102, if period 102 is a Q3? (please round your answer to 1 decimal place)
- Question 1In each of the following situations, identify the population and the sample(i). There are 50 books in statistics in our library which contains a collection of 5,000 books.(ii). About 20% of the stones heaped on the building site are round in shape.(iii). The dream that there will be more female than male politicians in Ghana will never be realized(iv) About 10% of pregnant mothers reporting to hospitals are infected with HIV virus.(v) Since the last major earthquake in 1939, there have been 60 earth tremors in Ghana, with 20 these occurring over the past 5 years.Question 2 The past records of a supermarket show that its customers spend an average of $65 per visit at this store. Recently the management of the store initiated a promotional campaign according to which each customer receives points based on the total money spent at the store, and these points can be used to buy products at the store. The management expects that as a result of this campaign, the customers should be encouraged to spend more money at the store. To check whether this is true, the manager of the store took a sample of 12 customers who visited the store. The following data give the money (in dollars) spent by these customers at this supermarket during their visits. 88 69 141 28 106 45 32 51 78 54 110 83 Assume that the money spent by all customers at this supermarket has a normal distribution. Using the 5% significance level, can you conclude that the mean amount of money spend by all customers at this supermarket after the campaign was started is more than $65?question 2 Suppose the following are the seasonal indices for the first three quarters of the year for a quarterly series: Quarter Seasonal Index Q1 70 Q2 134.5 Q3 115 Remember that the seasonal indices should average 100 so you should be able to infer the seasonal index for Q4. Furthermore, suppose that the estimated coeffcients from a regression of the deseasonalized series on Time are given below: Coefficients Intercept 2,484 Time 73.2 In general, what quarter is the busiest time of the year? (please just answer 1, 2, 3, or 4)
- Problem 6-05 Consider the following time series data. Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data? Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal places. Week Time SeriesValue Forecast 1 18 2 13 3 16 4 11 fill in the blank 3 5 17 fill in the blank 4 6 14 fill in the blank 5 MSE: fill in the blank 6The forecast for week 7: fill in the blank 7 Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal places. Week Time SeriesValue Forecast 1 18 2 13 fill in the blank 8 3 16 fill in the blank 9 4 11 fill in the blank 10 5 17 fill in the blank 11 6 14 fill in the blank 12 MSE: fill in the blank 13The forecast for week 7: fill in the blank 14 Compare the three-week moving…Question 3 a) The following stem-and leaf display of the dividend yields ($) for common stocks Stem-and-Leaf Display N = x Leaf Unit = 1.0 5 2 33444 11 2 668899 (14) 3 00112223344444 y 3 56778899 12 4 0002344 5 4 66789 b) The table below is based on the Stem and leaf diagrams showing dividend yields ($) for b) The table below is based on the Stem and leaf diagrams showing dividend yields ($) for common stocks. Dividend Yielded ($) Frequency 20-24 5 25-29 6 30-34 14 35-39 x 40-44 7 45-49 5 Use the stem and leaf diagram in 3a) to determine the value of x. Using the table above to calculate a) the sample mean of the dataset. b) the mode of the dataset. c) the sample variance of the dataset.Question 40 The Table below shows the returns for three stocks, and portfolios of Pairs of Stocks Stock Returns Portfolio Returns Year North Air West Air Tex Oil 1/2RN + 1/2W 1/2RW + 1/2T 2010 21% 9% -2% 15.0% 3.5% 2011 30% 21% -5% 25.5% 8.0% 2012 7% 7% 9% 7.0% 8.0% 2013 -5% -2% 21% -3.5% 9.5% 2014 -2% -5% 30% -3.5% 12.5% 2015 9% 30% 7% 19.5% 18.5% Average Return 10.0% 10.0% 10.0% 10.0% 10.0% Volatility 13.4% 13.4% 13.4% 21.1% 5.1% Required: 1. From the three stocks in the above table, comment on the volatility and average return, and the pattern of the returns 2. Which portfolio (combination of stocks), eliminated the highest risk? And what could be the plausible reason for that? 3. Compute the covariance and correlation between pairs of stocks (North Air & West Air ; and West Air and Text oil)
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