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Listed below are the numbers of deaths resulting from motor vehicle crashes. Let x represent the year, with 1975 coded as x = 1, 1980 coded as x = 6, 1985 coded as x = 11, and so on. Construct a scatterplot and identify the mathematical model that best fits the given data. Use the best model to find the projected number of deaths f the year 2028. x (year) 1975 1980 1985 1990 1995 2000 2005 2010 y (deaths) 44,533 51,122 43,809 44,590 41,798 41,960 43,436 32,697 Choose the correct graph below. A. B. C. D. Ау Q 52000- 52000- 52000- 52000- UDHU Q 32000- 32000+ 32000 32000 e 0 40 40 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) O A. y = x O B. y = + In x O C. y= + X O D. y = O E. y = X + Use the best model to find the projected number of such deaths for the year 2028. The projected number of deaths in year 2028 is (Round to the nearest integer as needed.)

Listed below are the numbers of deaths resulting from motor vehicle crashes. Let x represent the year, with 1975 coded as x = 1, 1980 coded as x = 6, 1985 coded as x = 11, and so on. Construct a scatterplot and identify the mathematical model that best fits the given data. Use the best model to find the projected number of deaths f the year 2028. x (year) 1975 1980 1985 1990 1995 2000 2005 2010 y (deaths) 44,533 51,122 43,809 44,590 41,798 41,960 43,436 32,697 Choose the correct graph below. A. B. C. D. Ау Q 52000- 52000- 52000- 52000- UDHU Q 32000- 32000+ 32000 32000 e 0 40 40 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) O A. y = x O B. y = + In x O C. y= + X O D. y = O E. y = X + Use the best model to find the projected number of such deaths for the year 2028. The projected number of deaths in year 2028 is (Round to the nearest integer as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Understanding Motor Vehicle Crash Deaths Over Time #### Data on Fatalities Below are statistics on the number of deaths resulting from motor vehicle crashes across various years. The table provides the corresponding values for specific years, which are coded for ease of plotting: | Year | Deaths | |----------|--------| | 1975 (x=1) | 44,533 | | 1980 (x=6) | 51,122 | | 1985 (x=11) | 43,809 | | 1990 (x=16) | 44,590 | | 1995 (x=21) | 41,798 | | 2000 (x=26) | 41,960 | | 2005 (x=31) | 43,436 | | 2010 (x=36) | 32,697 | #### Graphical Representation You are asked to construct a scatterplot and identify the best mathematical model for the given data. Below are four possible scatterplots for you to choose from: ###### Graph Options: - **Graph A** - **Graph B** - **Graph C** - **Graph D** Each graph plots the number of deaths (y-axis) against the coded year (x-axis) and is essential for determining the trend and selecting the appropriate model. #### Model Selection Based on the best fit, choose the mathematical model from the options given below and fill in the appropriate constants. Ensure the calculations are precise, rounded to three decimal places as needed. 1. **Model A**: \( y = \_\_\_ x \) 2. **Model B**: \( y = \_\_\_ + (\_\_\_ \ln x) \) 3. **Model C**: \( y = \_\_\_ + (\_\_\_ x) \) 4. **Model D**: \( y = (\_\_\_)^x \) 5. **Model E**: \( y = \_\_\_ x^2 + \_\_\_ x + \_\_\_ \) #### Projection Using the best-fit model, the projected number of deaths for the year 2028 needs to be calculated. Fill in the value rounded to the nearest integer. **Projected number of deaths in year 2028**: \(\_\_\_\) This exercise helps in understanding the trends over decades and making future predictions based on historical data
Transcribed Image Text:### Understanding Motor Vehicle Crash Deaths Over Time #### Data on Fatalities Below are statistics on the number of deaths resulting from motor vehicle crashes across various years. The table provides the corresponding values for specific years, which are coded for ease of plotting: | Year | Deaths | |----------|--------| | 1975 (x=1) | 44,533 | | 1980 (x=6) | 51,122 | | 1985 (x=11) | 43,809 | | 1990 (x=16) | 44,590 | | 1995 (x=21) | 41,798 | | 2000 (x=26) | 41,960 | | 2005 (x=31) | 43,436 | | 2010 (x=36) | 32,697 | #### Graphical Representation You are asked to construct a scatterplot and identify the best mathematical model for the given data. Below are four possible scatterplots for you to choose from: ###### Graph Options: - **Graph A** - **Graph B** - **Graph C** - **Graph D** Each graph plots the number of deaths (y-axis) against the coded year (x-axis) and is essential for determining the trend and selecting the appropriate model. #### Model Selection Based on the best fit, choose the mathematical model from the options given below and fill in the appropriate constants. Ensure the calculations are precise, rounded to three decimal places as needed. 1. **Model A**: \( y = \_\_\_ x \) 2. **Model B**: \( y = \_\_\_ + (\_\_\_ \ln x) \) 3. **Model C**: \( y = \_\_\_ + (\_\_\_ x) \) 4. **Model D**: \( y = (\_\_\_)^x \) 5. **Model E**: \( y = \_\_\_ x^2 + \_\_\_ x + \_\_\_ \) #### Projection Using the best-fit model, the projected number of deaths for the year 2028 needs to be calculated. Fill in the value rounded to the nearest integer. **Projected number of deaths in year 2028**: \(\_\_\_\) This exercise helps in understanding the trends over decades and making future predictions based on historical data
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