A pediatrician records the age x (in yr) and average height y(in inches) for girls between the ages of 2 and 10.Height of Girls vs. Age6050a. Use the points (2, 35) and (6, 46) to write a linear model forthese data.40| (6,46)30b. Interpret the meaning of the slope in context.c. Use the model to forecast the average height of 11-yr-oldgirls.(2, 35)2010d. If the height of a girl at age 11 is 90% of her full-grown adultheight, use the result of part (c) to estimate the average height241012of adult women. Round to the nearest tenth of an inch.Age (yr)Height (in.)

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 15 21 y 60 95 140 172 173 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 60 to 173 and a vertical axis labeled "y (average weight (in kg))" with values from 3 to 21. The scatter diagram has 5 points. A pattern goes up and right from (60, 3) to (173, 21). A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 3 to 21 and a vertical axis labeled "y (average weight (in kg))" with values from 60 to 173. The scatter diagram has 5 points. A pattern goes down and right from (3, 173) to (21, 60). A scatter diagram has a horizontal axis labeled "x (age (in months))" with values from 3 to 21 and a vertical axis labeled "y (average weight (in kg))" with…
The table and scatter plot show the time spent studying, x, and the midterm score, y, for each of 10 students. The equation of the line of best fit is y = 4.2x+11.58. Time spent Midterm 100- studying, x (in hours) score, y 90 3.3 21.51 4.0 28.04 Midterm score 60 Xx 4.8 22.89 50- 5.7 36.06 40- 6.9 36.28 30- 20- 8.2 58.20 104 8.5 45.42 14 10 12 14 16 18 20 22 24 12 9.1 56.72 12.1 70.00 Time spent studying (in hours) 15.0 74.58 Use the equation of the line of best fit to fill in the blanks below. Give exact answers, not rounded approximations. Time spent studying (in hours) Observed midterm Predicted midterm Residual Score Score 12.1 15.0
64. Average Wages The average hourly wage (adjusted to 1982 dollars) was $7.66 in 1990 and $9.16 in 2017. (Source: U.S. Bureau of Labor Statistics.) (a) Find a point-slope form of a line that passes through the points (1990, 7.66) and (2017, 9.16). (b) Interpret the slope. (c) Use the equation from part (a) to approximate the hourly wage in 2009. Compare it with the actual value of $8.27.
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The number (in millions) of employees working in educational services in a particular country was 16.6 in 2005 and 18.5 in 2014. Let x = 5 correspond to the year 2005, and estimate the number of employees in 2010. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantity. Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.) In 2010, the number (in millions) of employees working in education services would be (Type an integer or a decimal rounded to the nearest hundredth as needed.)
Data was collected for a regression analysis comparing car weight and fuel consumption. b0 was found to be 32.7, b1 was found to be -7.6, and R2 was found to be 0.86. Interpret the y-intercept of the line. On average, each one unit increase in the weight of a car decreases its ful consumption by 7.6 units. On average, when x=0, a car gets -7.6 miles per gallon. On average, when x=0, a car gets 32.7 miles per gallon. On average, each one unit increase in the weight of a car increases its fuel comsumption by 32.7 units. We should not interpret the y-intercept in this problem.
The number (in millions) of employees working in educational services in a particular country was 13.8 in 2005 and 18.2 in 2014. Let x = 5 correspond to the year 200 and estimate the number of employees in 2010. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points find such a line and then estimate the requested quantity. ... Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.) In 2010, the number (in millions) of employees working in education services would be (Type an integer or a decimal rounded to the nearest hundredth as needed.)
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