Concept explainers
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)
17. For males, find P90, which is the length separating the bottom 90% from the top 10%.
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Chapter 6 Solutions
ESSENTIALS OF STATISTICS 6TH ED W/MYSTA
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Introductory Statistics
Statistical Reasoning for Everyday Life (5th Edition)
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Statistics for Business and Economics (13th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
- The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, x Wingspan, y Humerus, x Wingspan, y 27 576 32 589 33 605 35 745 25 559 24 552 23 472 22 461 18 411 17 410 1.5 36 1.4 30 1.3 29 0.9 28 0.8 24 (a) Find the equation of the least-squares regression line for the data. Round constants to the nearest hundredth. ý = 20.06x + 18.26 (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 56 centimeters. 1142 cmarrow_forwardThe following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, x Wingspan, y Humerus, x Wingspan, y 29 536 32 668 33 677 34 728 27 510 26 497 25 488 24 459 22 455 20 439 1.9 39 1.6 38 1.3 38 1.0 35 0.8 31 (a) Find the equation of the least-squares regression line for the data. Round constants to the nearest hundredth. ў 3 (b) Use the equation from part (a) to determine, to the nearest cen eter, the projected wingspan of a pterosaur if its humerus is 49 centimeters. cmarrow_forwardHow strongly do physical characteristics of sisters and brothers correlate? The data in the table give the heights (in inches) of 1212 adult pairs. Brother 7171 6868 6666 6767 7070 7171 7070 7373 7272 6565 6666 7070 Sister 6969 6464 6565 6363 6565 6262 6565 6464 6666 5959 6262 6464 To access the data, click the link for your preferred software format. CSV Excel (xls) Excel (xlsx) JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! © Macmillan Learning Assume Damien is 6767 inches tall. Predict the height of his sister Tonya. Give your answer to one decimal place. Tonya's predicted height:arrow_forward
- How strongly do physical characteristics of sisters and brothers correlate? The data in the table give the heights (in inches) of 1212 adult pairs. Brother 7171 6868 6666 6767 7070 7171 7070 7373 7272 6565 6666 7070 Sister 6969 6464 6565 6363 6565 6262 6565 6464 6666 5959 6262 6464 To access the data, click the link for your preferred software format. CSV Excel (xls) Excel (xlsx) JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! © Macmillan Learning Use your calculator or software to find the correlation, ?,�, and equation of the least‑squares regression line for predicting sister's height from brother's height, ?̂ .�^. Make a scatterplot of the data and add the regression line to your plot. Give your answer to three decimal places. Enter the equation of the least‑squares regression line, with the numerical values rounded to three decimal places and ?� as the explanatory variable. (If you are using CrunchIt, adjust the…arrow_forwardcan someone please help with D and E? Thank you very much.arrow_forward2. The data given below are the heights (in cm.) of 10 girls in a certain scho the mode. 154 151 152 147 152 148 153 149 145 150arrow_forward
- Answer for section D)arrow_forwardstem. leaf 3 0 0 1 1 2 4 5 6 9 4 1 5 5 6 5 6 7 7 6 0 1 7 8 9 9 describe shape center peaks and spread.arrow_forwardCloud seeding, a process in which chemicals such as silver iodide and frozen carbon dioxide are introduced by aircraft into clouds to promote rainfall was widely used in many years. Recent research has questioned its effectiveness. An experiment as performed by randomly assigning 52 clouds to be seeded or not. The amount of rain generated was then measured in acre-feet. The box plot of the data for the seeded and unseeded clouds are shown in the figure. Which statement best interprets the box plot. Boxplot of Seeded, Unseeded 3000 f 2500어 2000 - 1500 - 1000 - 500- Seeded Unseeded a. Cloud seeding is somewhat effective in promoting rainfall because of the greater mean b. Outliers for both seeded and unseeded data may prove data on the effectiveness of cloud seeding is insufficient c. Extreme outliers are evident in the seeded data and has greater variance O d. There's a greater mean and greater dispersion in the seeded data. Both plots show outliers Dataarrow_forward
- Cloud seeding, a process in which chemicals such as silver iodide and frozen carbon dioxide are introduced by aircraft into clouds to promote rainfall was widely used in many years. Recent research has questioned its effectiveness. An experiment as performed by randomly assigning 52 clouds to be seeded or not. The amount of rain generated was then measured in acre-feet. The box plot of the data for the seeded and unseeded clouds are shown in the figure. Which statement best interprets the box plot. Boxplot of Seeded, Unseeded 3000 2500 - 2000- 1500 1000 500 Seeded Unseeded a. Outliers for both seeded and unseeded data may prove data on the effectiveness of cloud seeding is insufficient b. Cloud seeding is somewhat effective in promoting rainfall because of the greater mean c. There's a greater mean and greater dispersion in the seeded data. Both plots show outliers d. Extreme outliers are evident in the seeded data and has greater variance Dataarrow_forwardCont. * Mast. * Prop. Pie APRI. Chec. | Chec.. b Verif.. g 05-. 04 - MA.. A Mast.. M Math. Mind. The value y (in 1982-1984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is represented by the ordered pairs. (1994, 0.676) (1996, 0.638) (1998, 0.608) (2000, 0.584) (2002, 0.556) (2004, 0.528) (2006, 0.494) (2008, 0.461) (1995, 0.658) (1997, 0.622) (1999, 0.599) (2001, 0.568) (2003, 0.543) (2005, 0.509) (2007, 0.486) (a) Use a spreadsheet software program to generate a scatter plot of the data. Let t = 4 represent 1994. Do the data appear linear? O Yes O No (b) Use the regression feature of the spreadsheet software program to find a linear model for the data. (Let t represent time. Round your numerical values to four decimal places.) y = (c) Use the model to predict the value (in 1982-1984 dollars) of 1 dollar paid by consumers in 2010 and in 2013. (Round your answers to two decimal places.) 2010 $4 2013 $4 Discuss the reliability of your…arrow_forward1. Plot the data to see what shape it is in. Make a sketch of the plot on the axis above.2. Talk DOFSarrow_forward
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