### Understanding Motor Vehicle Crash Deaths Over Time#### Data on FatalitiesBelow 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 RepresentationYou 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 SelectionBased 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**: \( y = \_\_\_ x^2 + \_\_\_ x + \_\_\_ \)#### ProjectionUsing 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

Answered: Image /qna-images/answer/ef8da051-bd2e-4145-9531-2b09ef8853a2.jpg

Answered: Listed below are the numbers of deaths…

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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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.8 8.4 7.2 3.6 2.7 2.7 2.2 0.7 yy 13.8 11.5 10 7.2 6.4 6.1 6.2 4.4 xx = thousands of automatic weaponsyy = murders per 100,000 residents This data can be modeled by the equation y=0.84x+4.06.y=0.84x+4.06. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 4.9 thousand automatic weapons?Answer = Round to 3 decimal places.
A researcher wants to determine if the exam scores of the students are dependent on the length of time spent in studying the subject. Ten students in a certain class were taken and the results are shown in the table below where X is the time spent in studying the subject in hours and Y is the examination scores. X (time) Y (score) 1.5 80 3.0 83 1.25 83 0.5 70 3.5 85 2.5 75 1.0 70 3.0 90 2.5 86 4.0 91 Determine the simple linear regression equation Y = a + bX. (round off values up to 1 decimal place)
2. The number of public branch libraries in the United States for several years is given in the table: Year Public Library Branches G500 1994 6223 1995 6172 1996 Branches 6205 1997 6332 1998 6435 a. Graph the data b. Find an equation for a model of these data. Year b. Using your model, estimate the number of branch libraries in 2000 c. Use the graph to estimate in what year(s) there are 6500 branch Libraries
Below is data for two variables, X and Y. Answer the questions that follow. X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 3 3 -2 -1 4 1 2 4 3 -1 -1 1 1 ___ 6 4 1 ___ 1 0 0 7 6 2 2 ___ 4 4 r = ____
1. Describe in detail what the H0 and H1 are. 2. If this data were to be on a scatterplot, which variable would be x and which would be y? explain why.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.9 8.4 6.6 3.8 2.6 2.3 2.2 0.9 y 14.2 11.1 9.6 7 6.2 6.1 5.8 5 x = thousands of automatic weaponsy = murders per 100,000 residentsThis data can be modeled by the equation y=0.85x+4.03. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 7.7 thousand automatic weapons?
Cell Phones Using the CTIA Wireless Survey for1985–2009, the number of U.S. cell phone subscribers (in millions) can be modeled byy = 0.632x2 - 2.651x + 1.209where x is the number of years after 1985.a. Graphically find when the number of U.S.subscribers was 301,617,000.b. When does the model estimate that the number ofU.S. subscribers would reach 359,515,000?c. What does the answer to (b) tell about this model?
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.5 7.1 3.4 2.6 2.8 2.6 0.7 y 13.8 11.3 9.9 6.8 6.4 6.7 6.1 4.4 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85x +4.02. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Use the equation with the values rounded to two decimal places to make your predictions. A) How many murders per 100,000 residents can be expected in a state with 6.7 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 8 thousand automatic weapons? Answer= Answer = Round to 3 decimal places.
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Life expectancy in the United States has been rising since the nineteenth century. The table shows the U.S. life expectancy in selected years. Year 1950 1960 1970 1980 1990 2000 Life expectancy at birth 68.2 69.7 70.8 73.7 75.4 77 a. Let t represent the number of years after 1950, and plot the data. Draw a line a best fit for the data points. 80+ 76- 5 10 15 20 25 30 35 40 45 50 Draw: 72+ 64- 60+ 56 52 48- 44 Clear All

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