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)
18. For females, find the first
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Chapter 6 Solutions
Elementary Statistics (13th Edition)
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Introductory Statistics (2nd Edition)
Introductory Statistics (10th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Elementary Statistics: Picturing the World (7th Edition)
- How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 55. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. BEEB Average Yearly Earnings in the U.S., by Gender and Age M(age=33)=$thousand (Type an integer or decimal rounded to one decimal place as needed.) Average Yearly Earnings ($1000s) 70- 60- Men 50-Women- 40- 30- 20- 10- 0- 22 Age 55 Average Yearly Earnings ($1000s) A $70 (3087) $60- $30 $20- $10- $0 } e $50 (0.23) $40 BN 9 ST (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) b. Use the two points for women shown on the graph to find a function in the form W(x) = mx + b that…arrow_forwardHow wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 60. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. Average Yearly Earnings ($1000s) Average Yearly Earnings in the U.S., by Gender and Age 70- 60- ■Men 50 Women 40- 30- 20- 10- 0- 22 Age 60 Average Yearly Earnings ($1000s) $70- $60- (30,67).. $50 (0,24) $40+ $30+ $20- $10- $0+ 0 M(age=38) = $ thousand (Type an integer or decimal rounded to one decimal place as needed.) ♦ (0,21) Men *(30,40) Women 10 20 30 40 50 Years after Age 22 --X7 (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) b. Use the two points for women shown on…arrow_forward2 2-1: MathXL for School: -Additional Practice ice 3 2-1: Lesson Quiz Copy 2 Completed Completed OIncorrect Which graph represents the equation y= --2 2 0 A. View Score summary Questio B.arrow_forward
- When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of their metacarpal bone (in cm) were collected for 22 sets of skeletal remains. The data are in the table below. X, length of metacarpal Y, height 42 161 43 177 49 185 42 165 45 173 41 165 44 171 43 170 42 175 47 171 38 157 50 181 40 155 39 159 48 171 52 176 48 183 47 172 46 173 45 173 46 169 40 160 a) State the random variables. rv X = of rv Y = of b) The symbol and value of the correlation coefficient are as follows: Round final answer to 3 decimal places. = Interpret this value: There is a strong relation between length of metacarpal and height for sets of skeletal remains. c) The symbol and value of the coefficient of determination are as follows: Round final answer to 3 decimal places. =…arrow_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_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 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_forward
- A comparative Psychologist tests the amount of time it takes for mice to complete a maze as their dependent variable. What type of data would this be? a. ratio b. interval c. ordinal d. nominalarrow_forwardThis triangle is not drawn to scale corresponding to the data in the exercises. aarrow_forwardThe data represents the heights of eruptions by a geyser. Height of eruption (in.) 90 62 34 50 Use the heights to construct a stemplot. Identify the two values that are closest to the middle when the data are sorted in order from lowest to highest. 80 50 40 70 50 60 75 57 52 69 62 60 74 70 48 88 Which plot represents a stemplot of the data? O A. OB. C. 3028 4 027 5 000 6 002 7009 8045 9 08 3 4 4002279 50045 6 |008 70028 8 0 9 0 3 4 408 5 00027 6 00229 7 00 45 808 9 0 Identify the two values that are closest to the middle when the data are sorted in order from lowest to highest. The values closest to the middle are inches and inches. (Type whole numbers. Use ascending order.). Click to select your answer(s). 4:14 PM O Type here to search a 17 6/4/2021 hp f3 ins prt sc f5 f6 f8 fg f10 f12 esc IOI dele & back 2. 4 E T. Y 00 L5. %24 3. %23arrow_forward
- When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of their metacarpal bone (in cm) were collected for 18 sets of skeletal remains. The data are in the table below. X, length of metacarpal (in cm) Y, height (in cm) 51 180 45 173 47 175 42 165 44 171 40 163 42 175 44 173 39 159 45 173 46 175 52 176 50 181 50 178 49 170 46 173 38 157 49 185 a) State the random variables. rv X = of rv Y = of b) Make a scatterplot of X versus Y in StatCrunch (optional). Why do we wish to sketch a scatterplot? c) Find the equation of the best-fitting line (the least squares regression equation). Round values to 2 decimal places. Include the restricted domain. equation: = + * X restricted domain: cm <= X <= cm d) Interpret the slope from part c in the context of this problem. (Pay…arrow_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 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_forwardAnswer for section D)arrow_forward
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