Question

This project is assigned to give you the chance to apply the knowledge that you have acquired in statistics to our Global Society. The following data has been collected for you and you are going to look at the possible relationships and make some decisions that might impact your life based on the outcomes.

Use the following data in this project. The data represents the Total Number of Alternative-Fueled Vehicles in use in the United States (source:  US Department of Energy:  http://tonto.eia.doe.gov/aer/)

Year	Number of Alternative-Fueled Vehicles in US
2000	394,664
2001	425,457
2002	471,098
2003	533,999
2004	565,492
2005	592,125
2006	634,562
2007	695,766

A.) Construct a scatter diagram of year (x) vs number of Alternative-fueled vehicles in US (y). Do these variables appear to have a relationship? Write 2 or 3 sentences describing the relationship or lack of a relationship. Explain your reasoning. (9 points for graph and 9 points for description of relationship or lack of relationship)

B.)

Description of the relationship of data:_____________________________________

C.) Find the correlation and regression lines for the data above.

r= _______________________ (5 points)

= _______________ x+ _______________ (5 points)

D.) Do the variables have significant correlation? For full credit, you must show each step of the hypothesis test. Use the 0.05 significance.  (18 points total)

E.) In 2008, the price of gas dropped drastically and hit a low average of $1.59 for the nation.  What effect do you think this will have on the alternative-fuel car sales, if any?  Do you think that this would affect the number of alternative-fueled vehicles used in the United States? Do you think that it would follow the same pattern as before 2008? Write 2 or 3 sentences explaining how you think the new vehicles will affect the number of alternative-fueled vehicles in the United States. (18 points)

F.) Use your regression equation to predict the number of alternative-fueled vehicles used in the United States in 2010. Assume that the pattern remains the same after the introduction of the electric-gas vehicles. Show your work. (18 points)

G.) Search online to find some evidence for or against your opinion in part e. Give the information that you found and state the URL to the data. Was your prediction correct or incorrect? Why do you think that happened? Write 2 or 3 sentences summarizing the information that you found and explain why you think that happened. Be sure to answer each question. (18 points)

Answer 1

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(b)

Interpretation:

The scatterplot suggests that there exists a positive linear association between the variables

Year(X) and The number of alternative fueled(Y).

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