Question

How do you write an equation to represent data on a table?

Answer 1

average gas prices from 2005-2015 in the U.S
2005- $2.31
2006- $ 2.61
2007-$ 2.84
2008-$ 3.29
2009-$ 2.49
2010-$ 2.83
2011-$ 3.57
2012-$ 3.60
2013-$ 3.57
2014-$ 3.34
2015-$ 2.64
thats my table and what i need to make an equation out of

Answer 2

Does it specify a form you need to make it in?

Answer 3

Nope thats the full question
c. What equation models the data? What are the domain and range of
the equation? Do you think your equation is a good fit for the data?
Explain how you determined your answers.

Answer 4

We can find the average slope between consecutive pairs of points, ignoring 2009 and 2010:

2005-2006: 31; 2006-2007: 23; 2007-2008: 45; 2008-2011: 27/3=9; 2011-2012: 7; 2012-2013: -11; 2013-2014: -38; 2014-2015: -108.

If this were a parabola, we would expect the negative and positive slopes to be opposites after the maximum at 2012, but this doesn't appear to be the case. However, this points to a maximum for the range at $3.60. The domain goes from 2005 to 2015 and we don't have a satisfactory model for the figures.

Answer 5

How do you make a equation to model it though?
It as in the data from my table

Answer 6

@Sorcerer ^

Answer 7

The equation is Y=0.04382X-85.1827, which represents the best model to fit the data, assuming a linear relationship.

Answer 8

Whats a "trend in the data" mean? is it like a pattern or what? That may be a stupid question but i just wanna make sure lol

Answer 9

^ Yep, pretty much

Answer 10

the trend is the pattern its not a stupid question ur just making sure what it means so a pattern

Answer 11

Thanks for the medal!!!! lets chat sometime u see like a cool person to talk to u. let me know i need any more help