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In Exercises 37–40, assume that E and F are independent events. Use the given information to find
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- Q. Table provided gives data on gross domestic product (GDP) for the United States for the years 1959–2005. a. Plot the GDP data in current and constant (i.e., 2000) dollars against time. b. Letting Y denote GDP and X time (measured chronologically starting with 1 for 1959, 2 for 1960, through 47 for 2005), see if the following model fits the GDP data: Yt = β1 + β2 Xt + ut Estimate this model for both current and constant-dollar GDP. c. How would you interpret β2? d. If there is a difference between β2 estimated for current-dollar GDP and that estimated for constant-dollar GDP, what explains the difference? e. From your results what can you say about the nature of inflation in the United States over the sample period?arrow_forwardBecause of high tuition costs at state and private universities, enrollments atcommunity colleges have increased dramatically in recent years. The following data show theenrollment (in thousands) for Jefferson Community College from 2001–2009:Year Period (t) Enrollment (1000s)2001 1 6.52002 2 8.12003 3 8.42004 4 10.22005 5 12.52006 6 13.32007 7 13.72008 8 17.22009 9 18.1Compute F10: the Forecast for 2010. Compute Pearson’s Correlation Coefficient Use the Method of Least Squares to obtain the Best-Fit-Line for this data. Use the line to compute the forecast.arrow_forwardCS21.pdf 1 - 3 2.arrow_forward
- Q1. The table provided gives data on indexes of output per hour (X) and real compensation per hour (Y) for the business and nonfarm business sectors of the U.S. economy for 1960–2005. The base year of the indexes is 1992 = 100 and the indexes are seasonally adjusted. a. Plot Y against X for the two sectors separately. b. What is the economic theory behind the relationship between the two variables? Does the scattergram support the theory? c. Estimate the OLS regression of Y on X. Note: on the table ( 1. Output refers to real gross domestic product in the sector. 2. Wages and salaries of employees plus employers’ contributions for social insurance and private benefit plans. 3. Hourly compensation divided by the consumer price index for all urban consumers for recent quarters.) Thank you!arrow_forwardCalculate (2,3,1)(1,2,4) E S5.arrow_forwardThe number of reported cases of wrong-site surgery, in which a surgeon operated on the wrong limb, organ, or patient, are showing in the table. A Year Number of Wrong-Site Surgery HEOSTOPEN 50 58 65 69 70 84 2000 2001 2002 2003 2004 2005 This data is approximately accurate according to Joint Commission of Accreditation of Heathcare Organizations. Let n = f(t) be the number of cases of reported wrong-site surgery in the year that is t years since 2000. Use a graphing calculator to find draw a scattergram of the data. Can the data be modeled better by using a liner or an exponential function? Linear - Find the modeling equation of f. Hint f(x) Find an equation f-¹. ƒ-¹(x)= Use f to predict in which year there will be 135 reported cases of wrong-site surgery. Round to 3 decimal places. Now use f-1 to predict in which year there will be 135 reported cases of wrong-site surgery. من Round to 3 decimal places. Round to 3 decimal places. Hint W Compare your results for the two answers above.…arrow_forward
- The body mass index (BMI) of a person is the person’s weight divided by the square of his or her height. It is an indirect measure of the person’s body fat and an indicator of obesity. Results from surveys conducted by the Centers for Disease Control and Prevention (CDC) showed that the estimated mean BMI for US adults increased from 25.0 in the 1960–1962 period to 28.1 in the 1999–2002 period. [Source: Ogden, C., et al. (2004). Mean body weight, height, and body mass index, United States 1960–2002. Suppose you are a health researcher. You conduct a hypothesis test to determine whether the mean BMI of US adults in the current year is greater than the mean BMI of US adults in 2000. Assume that the mean BMI of US adults in 2000 was 28.1 (the population mean). You obtain a sample of BMI measurements of 1,034 US adults, which yields a sample mean of M = 28.9. Let μ denote the mean BMI of US adults in the current year. Please Formulate the null and alternative hypothesesarrow_forwardt wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-three wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, σ can be assumed to be 265 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/secupper limit cm/secarrow_forward2.62 For the period 2001–2008, the Bristol-Myers Squibb Company, Inc. reported the following amounts (in billions of dollars) for (1) net sales and (2) advertising and product promotion. The data are also in the file XR02062. Source: Bristol-Myers Squibb Company, Annual Reports, 2005, 2008. Year Net Sales Advertising/Promotion 2001 $16.612 $1.201 2002 16.208 1.143 2003 18.653 1.416 2004 19.380 1.411 2005 19.207 1.476 2006 16.208 1.304 2007 18.193 1.415 2008 20.597 1.550 For these data, construct a line graph that shows both net sales and expenditures for advertising/product promotion over time. Some would suggest that increases in advertising should be accompanied by increases in sales. Does your line graph support this?arrow_forward
- National Debt The size of the total debt owed by the UnitedStates federal government continues to grow. In fact,according to the Department of the Treasury, the debt perperson living in the United States is approximately $53,000(or over $140,000 per U.S. household). The following datarepresent the U.S. debt for the years 2001–2014. Since thedebt D depends on the year y, and each input correspondsto exactly one output, the debt is a function of the year. SoD1y2 represents the debt for each year y. Source: www.treasurydirect.govDebt (billions Debt (billionsYear of dollars) Year of dollars)2001 5807 2008 10,0252002 6228 2009 11,9102003 6783 2010 13,5622004 7379 2011 14,7902005 7933 2012 16,0662006 8507 2013 16,7382007 9008 2014 17,824 (a) Plot the points 12001, 58072, 12002, 62282, and so on ina Cartesian plane.(b) Draw a line segment from the point 12001, 58072 to12006, 85072. What does the slope of this line segmentrepresent?(c) Find the average rate of change of the debt from 2002…arrow_forwardThe table to the right classifies a stock's price change as up, down, or no change for both today's and yesterday's prices Price changes were examined for 104 days. A financial theory states that the price change of today for a stock must be independent of yesterday's price change. Test the hypothesis that daily stock price changes for this stock are independent. Let a=0.10. Price Change Previous Day Up No Change Down 16 Price Change Today 13 Up No Change 7 Down 14 16 10 13 Determine the null and alternative hypotheses for the test. Choose the correct answer below. O A. Ho: Today's price change and yesterday's price change are not independent. HA: Today's price change and yesterday's price change are independent. O B. Ho: Today's price change and yesterday's price change are independent. HA: Today's price change and yesterday's price change are not independent. OC. Ho: Today's price change and yesterday's price change have non-equal proportions. HA: Today's price change and yesterday's…arrow_forwardLecture(11.14): A professor offered a course half online and half in person.The professor hypothesized that students were spending less time engaged with course during online than in person,At the end of the semester students were asked to provide the amount of time they tended in a week. The weeks were classified as online or in person and the average amount of time for 15 weeks is given below. Online: 4 3 5 6 2 2 4 7 5 4 3 2 6 6 3 In person: 5 5 4 7 3 4 4 6 4 5 3 4 5 8 4 Test the hypotheses at (alpha= 0.05) level of significance using the 5 step hypotheses testing. Make sure you clesrly state the null and alternative hypotheses. Round your answer to 2 decimal places; person. and the average amount of time spent for 15 studentsarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill