Concept explainers
(a)
To calculate: The median annual income for a woman with the
(b)
To calculate: The mathematical model for
(c)
To calculate: The difference rounded to the nearest dollar in the median annual income between men and women with the
(d)
To calculate: The actual difference in the median annual income between men and women with the
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EBK ALGEBRA AND TRIGONOMETRY
- 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_forward2.31 The median income for a four-person family has been reported as shown here for 1993–2003. Source: Time Almanac 2006, p. 627. 1993 $45,161 1999 $59,981 1998 56,061 1994 47,012 2000 62,228 1995 49,687 2001 63,278 1996 51,518 2002 62,732 1997 53,350 2003 65,093 Construct a line graph describing these data over time.arrow_forwardthis explanation is clear, but I have not understood how this relates to one step above the red underlined portion in the steparrow_forward
- Seat Designs. In Exercises 13–20, use the data in the table below for sitting adult males and females (based on anthropometric survey data from Gordon, Churchill, et al.). These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. (Hint: Draw a graph in each case.) Sitting Back-to-Knee Length (inches) For males, find which is the length separating the bottom 90% from the top 10%.arrow_forwardRequesting all sections a to g answered for question 1. 1. The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp Usage/1000 Month Temp Usage/1000 Jan 21 185.79 Jul 68 621.55 Feb 24 214.47 Aug 74 675.06 Mar 32 288.03 Sept 62 562.03 Apr 47 424.84 Oct 50 452.93 May 50 454.58 Nov 41 369.95 Jun 59 539.03 Dec 30 273.98 a. Assuming that a simple linear regression model is appropriate, fit the regression model relating stem usage (y) to the average temperature (x). What is the estimate of σ2? b. What is the estimate of expected stem usage when the average temperature is 55 F? c. What change in mean stem usage is expected when the monthly average temperature changes by 1 F? d. Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual. e. Test for…arrow_forward150. A corporation’s annual profits and losses for a six-year period are shown in the graph inFigure 13–30.Figure 13–30a. What is the increase or decrease in profits for the years listed?(1) the 1st to the 2nd year(2) the 2nd to the 4th year(3) the 3rd to the 5th year(4) the 4th to the 6th yearb. What is the total dollar amount lost by the corporation from the 3rd through the 5th year?c. What is the net profit or loss for the 6-year period?d. What is the average annual profit or loss for the 6-year period?arrow_forward
- En lode the pulmng adeg 2. 3. 2.arrow_forward2.1.1 How does it grow? Seeing Growth in Linear Representations Date: Per. Name: 2-5. Now consider Tile Pattern D, shown: H Figure 1 Figure 2 Figure 3 a. Draw Figures 0 and 4 for this pattern. b. Write an equation for the number of tiles in this pattern. Use color to show where the numbers in your equation appear in the tile pattern. Use x for the figure number, and y for the number of tiles in the figure. C. c. Make a table for the equation you wrote in part (b). Does the information in your table match the diagrams from part (a)? d. Graph It & State Domain & Range for the situation:arrow_forwardanswer item 1-3:arrow_forward
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