Automobile Production: Table, Graph and Modeling
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The table shows the retail market share of passenger cars from Ford Motor Company as a percent of the US market.
Year Market share
1980 17.2%
1885 18.8%
1990 20.0%
1995 20.7%
2000 20.2%
2005 17.4%
A mathematical model for this data is given by
f(x) = -0.0206x^2 + 0.548x + 16.9
where x = 0 corresponds to 1980
1. Complete the following table:
x Market share f(x)
0 17.2
5 18.8
10 20.0
15 20.7
20 20.2
25 17.4
2. Sketch the graph of f and the market share data in the same coordinate system.
3. Use values of the modeling function f to estimate Ford's market share in 2010 and in 2015.
4. Write a brief verbal description of Ford's market share from 1980 to 2005.
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Solution Summary
The solution discusses automobile production regarding table, graph and modeling.
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1. Complete the table.
x Market Share f(x)
0 17.2 ...
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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