Suppose that we are looking at the behaviour of two stocks listed on the New York Stock Exchange Stock and Stock B to observe whether over a given interval, the prices of the stocks increased, decreased, or stayed the same. The information is given in the following table. Stock A Stock B No Increase Decrease Change A1 A2 АЗ Increase B1 0.11 0.01 0.03 No B2 0.21 0.15 0.04 Change Decrease B3 0.18 0.12 0.15 Find the probability that the price of stock A will not decrease, given that the price of stock B increases.
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- The following is two years monthly sales data of 5 different outlets of a well-known textile brand. You are required to perform the analysis and answer the questions given below. Brand Sales in million Rs. A 41 40 24 44 33 37 35 28 39 33 30 25 39 33 31 31 B 31 33 48 50 41 48 57 46 50 36 38 38 43 47 36 57 C 53 51 44 56 49 47 59 54 50 55 59 49 40 47 55 47 41 47 D 52 58 54 57 58 39 53 56 56 60 46 54 57 57 63 48 58 56 55 64 54 52 E 44 68 68 69 60 63 57 56 53 60 61 66 70 72 62 57 70 72 55 70 64 63 Write the null and alternate Hypothesis for the first two outputs. [1.5] Develop the ANOVA table for the calculation of “f distribution” value. [1.5] Find out the two critical values of “f…Example 3: Using three-year moving averages, determine the trend. Production Production Year Year (1000 tonnes) (1000 tonnes) 1990 21 1995 22 1991 22 1996 25 1992 23 1997 26 1993 25 1998 27 1994 24 1999 26Each year forbes ranks the world’s most valuable brands. A portion of the data for 82 ofthe brands in the 2013 forbes list is shown in Table 2.12 (forbes website, february, 2014).The data set includes the following variables:brand: The name of the brand.Industry: The type of industry associated with the brand, labeled Automotive& Luxury, Consumer Packaged Goods, financial Services, Other, Technology.brand Value ($ billions): A measure of the brand’s value in billions of dollarsdeveloped by forbes based on a variety of financial information about the brand.1-Yr Value Change (%): The percentage change in the value of the brand over theprevious year.brand Revenue ($ billions): The total revenue in billions of dollars for the brand.a. Prepare a crosstabulation of the data on Industry (rows) and brand Value ($ billions).Use classes of 0–10, 10–20, 20–30, 30–40, 40–50, and 50–60 for brand Value($ billions).b. Prepare a frequency distribution for the data on Industry.
- Life Expectancies Is there a relationship between the life expectancy for men and the life expectancy for women in a given country? A random sample of nonindustrialized countries was selected, and the life expectancy in years is listed for both men and women. Are the variables linearly related? Men 60.2, 43.9, 59.8, 66.1, 68.4, 64.8 Women 60.0, 43.8, 56.6, 72.7, 63.5, 66 Draw the scatter plot for the variables. Compute the value of the correlation coefficient r= state the hypothesis h0: h1: critical value(s) reject or accept the null hypothesis Give a brief explanation of the type of relationshipAn article gave the following data on median worker pay (in thousands of dollars) and the 1-year percent change in stock price for the 13 highest paying companies in the United States. Percent Change in Stock Price Company Company 1 Company 2 Company 3 Company 4 Company 5 Company 6 Company 7 Company 8 Company 9 Company 10 Company 11 Company 12 Company 13 80 60 40 20 Median Worker Pay - 20 - 40 USE SALT 134.7 132.2 125.0 122.8 122.5 121.2 121.2 119.0 118.0 118.0 117.6 117.4 (a) Construct a scatterplot for these data. Percent Change in Stock Price 115.1 115 120 125 130 135 140 21.5 92.4 34.0 52.0 41.8 2.7 5.0 30.2 8.1 37.5 15.7 21.8 -44.8 Median Worker Pay Percent Change in Stock Price 80 60 40 20 - 20 -40 115 120 125 130 135 140 (b) Calculate the value of the correlation coefficient. (Round your answer to four decimal places.) Median Worker Pay Interpret the correlation coefficient. O There is a moderate, positive association between the percent change in stock price and median worker…The Admission director for a college far from mart and town believes that an inverse relationship exists between a private college's average discount rate(determined by the average amount of scholarships students receive) and the annual yield (the percentage of admitted students who actually attend). The Director's independent variable is a private college's discount rate measured as a percentage, and the dependent variable is the college's annual yield measured as a percentage. The following results were obtained for a sample of 30 private colleges: x- Discount rate(percentage) - range: 35 to 72 percent y- Annual Yield(percentage) - range: 12 o 81 percent Σxi = 1612 Σyi = 898 Σxiyi = 44,377 Σxi2 = 89,790 Σyi2 = 35,704 a. Calculate the sample regression line's slope estimate. Interpret the sample regression line's slope estimate. b. Calculate the sample regression line's intercept estimate. Interpret the sample regression line's intercept estimate. Assume the following sum of…
- The histogram below shows the distribution of annual growth rate in travel spending for 52 companies in the United States. Frequency 20+ 15 10 5 2 0+ 2 0 6 3 11 19 4 1 Annual Growth Rate (%) After creating this graph, it was discovered that the values for the companies with the 20 largest reported annual growth rates were miscalculated. In fact, each of these top 20 companies should have a higher value of annual growth rate than was previously reported. Which of the following statements must be true? (A) If you were to make a graph with the corrected values, the graph would be skewed to the left. (B) If you were to make a graph with the corrected values, the graph would be symmetric. (C) If you were to calculate the median with the corrected values, the new median would be greater than the old median. (D) If you were to calculate the interquartile range (IQR) with the corrected values, the new IQR would be the same as the old IQR. (E) If you were to find the value of the third quartile…Question A market trader sells ball-point pens on his stall. He sells the pens for a different fixed price, x pens, in each of six weeks. He notes the number of pens, y that he sells in each of these six weeks. The results are shown in following table. Week 1 2 3 4 5 6 Pens 10 15 20 25 30 35 Sells 68 60 55 48 38 32 Find the correlation coefficient between pens and sells and test the hypothesis that there is no relation between these variables. Find the regression equation of sells to pens Estimate the weekly sells for 20 pens. Estimate the Error.The following table represents the percentage of the U.S. population who have completed four years of college or more from 1976 to 2016, by gender. Year 1976 1981 1986 1991 1996 2001 2006 2011 2016 % of Women 11.3 13.4 16.1 18.8 21.4 24.3 26.9 30.1 33.7 % of Men 18.6 21.1 23.2 24.3 26 28.2 29.2 30.8 33.2 (a) What is the AROC in the percentage of women who had completed four years of college or more from the year 1986 to 2006? (b) What is the AROC in the percentage of men who had completed four years of college or more from the year 1986 to 2006? (c) From the years 1976 to 1986, the AROC in the percentage of men who had completed 4 years or more of college is AROC for women is Σ %. (d) From the years 2006 to 2016, the AROC in the percentage of men who had completed 4 years or more of college is AROC for women is (e) What are the inferences you can make from your answers to parts (a)-(d)? Choose all that apply. Σ Σ Z %, and the A. The percentage of men who are completing 4 years of more…
- . Death 2010 The January 2012 National Vital StatisticsReport by the Centers for Disease Control and Preventionincluded information on deaths in the United States forthe year 2010. The 4 most common causes-heart disease,cancer, respiratory diseases, and stroke-accounted fornearly 60% of all deaths. What problems do you see withthe graph at the top of the next column?For each problem, select the best response. (a) In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gasoline, you expect to see A. a positive association. B. very little association. C. a negative association. D. None of the above. (b) If the correlation between two variables is close to 0, you can conclude that a scatterplot would show A. a cloud of points with no visible pattern.B. no straight-line pattern, but there might be a strong pattern of another form. C. a strong straight-line pattern. D. None of the above. (c) You have data for many years on the average price of a barrel of oil and the average retail price of a gallon of unleaded regular gasoline. When you make a scatterplot, the explanatory variable on the x -axis A. is the price of gasoline. B. can be either oil price or gasoline price. C. is the price of oil. D. None of the above.There are two underlying assets in an asset pool. Each has a 2.8 percentchanges of failing. You own an asset that will pay $1 unless both assets fail. Graph theprobability of your asset not paying as the correlation between the two input assets runsfrom 0.5 to 0.98. For what levels of correlation is the output asset investment grade