The following table shows the number of correctly and incorrectly filled out tax forms obtained from a random sample of 100 returns examined by the Internal Revenue Service (IRS) in a recent year. Correct Incorrect Totals Short form (1040A) Long Form (1040) No Itemized No Itemized Itemized Deductions Deductions 10 50 10 10 20 60 Deductions Totals 10 70 10 30 20 100 Find the probability that a form was a long form (1040) or an incorrectly filled out form. (Enter your probability as a fraction.)

Compute the three week and four week moving averages for the time series? 240,350,230,260,280,320,220,310,240,310,240,310,240,230

5. The contour diagram for f(x, y) is shown on the next page. Determine the sign (positive, negative, or zero) for each of the following. (a) fx (1,1) (b) fy(1,1) (c) fxx (-1,0)

Presidential Inaugural Addresses Ever wonder how many words are in a typical inaugural address? The following data represent the lengths of all the inaugural addresses (measured in word count) for all presidents up to Barack Obama. 1425 1125 1128 5433 2242 2283 3319 2015 3217 135 4467 2308 2906 2821 1172 3967 1337 1883 1668 2406 2217 2480 1807 3634 3838 698 985 559 2978 3318 1355 Source: infoplease.com 1802 1340 1526 2158 4776 1681 4059 996 4388 3801 1087 2446 2130 1507 2463 2449 2170 2546 1729 8445 1571 209 1437 2073 1175

Please calculate the stock price for below simulation worksheet TRADE NUMBER RANDOM NUMBER PRICE CHANGE STOCK PRICE 1 45 0   2 95 +3/8   3 72 +1/8   4 69 +1/8   5 99 +1/2   6 53 0   7 22 -1/8   8 65 0   9 39 0   10 86 +1/8

13) The following table contains data about the perfomance of a couple of mutual funds with various stocks. Number of stocks which Number of stocks which increased in value last decreased in value last month 28 month Diverse Mutual Market Mutual 25 If one of the stocks is randomly selected, find the probability that the stock is from Diverse Mutual given that the stock increased last month. Write the answer as a simplified fraction. Show your work.

Wins Attendance (In Millions) 65 2.06 91 2.51 66 1.73 89 3.05 75 3.06 88 2.19 91 2.06 69 1.39 83 2.88 81 2.46 80 1.54 76 2.33 67 1.62 80 3.25 80 3.56 77 2.78 94 3.22 79 2.56 95 3.77 81 1.42 97 3.65 57 1.61 90 2.13 92 3.04 61 2.09 86 3.3 96 1.84 90 2.51 85 1.63 69 1.83   Draw a scatter diagram depicting the correlation between the two variables.    Determine the correlation coefficient between the two variables using Excel.   Present a regression output between a dependent and one independent variable.     Obtain estimated coefficients and R-squared and interpret them.     Write a short report on the findings.

The United States Census Bureau provided the following estimates and predic- tions for the total world population (* data from 2012, 2020-2050 numbers are predictions). Year Population 1950 2,556,518,868 1960 3,040,617,514 1970 3,707,921,742 1980 4,447,068,714 1990 5,274,320,491 2000 6,073,265,234 2010 6,838,220,183 2020* 7,608,075,253 2030* 8,295,925,812 2040* 8,897,180,403 2050* 9,404,296,384 Two major models used in predicting population growths are the Exponential Model P(t) = P0ert and the Logistic Model P(t) = k1 + be−ct Let t = 0 represent the year 1950 and plot the given dataset in a graph with viewing dimensions [−10, 110] for the x-coordinate and [0, 1010] for the y-coordinate. 1 In a paragraph discuss the properties of both models, then explain why one of the models fits the dataset better. Things you should touch upon in your explanations include but are not limited to: Assumptions being made by the model on the dataset, The behavior of the model with respect to the…