Question

Please help with this problem, I don't understand how to work it out.

Smallville's town council has records of the town's budget over a 10-year period. Year: 1990 1991 1992 1993 1994 Budget($1000s): 265.1 277.5 288.9 303.0 311.3 Year: 1995 1996 1997 1998 1999 Budget($1000s): 320.4 334.5 351.2 368.2 381.7 Which model relates the budget as a function of the number of years since 1990? What does the model predict the town's budget will be in the year 2001, and what year does the model predict the town's budget will exceed $400,000?

Answer 1

f(x) = 12.72x + 135.7 $402,800; during the year 2001
f(x) = 12.27x – 828.2 $411,100; during the year 2000
f(x) = 12.82x – 883.8 $411,000; during the year 2002
f(x) = 12.72x + 262.9 $402,820; during the year 2001

Answer 2

Wow. I understand the concept. But @J-Cross18 wants to help

Answer 3

lol

Answer 4

Thanks for looking at it....I'm completely lost.

Answer 5

look at the change from one year to another for your data set

Answer 6

Yes, but I'll let @J-Cross18 handle it with his deep understanding of mathematics :D

Answer 7

Do you still need help????

Answer 8

It seems like a growth of 20,000 plus.

Answer 9

Yeah, any help is better than where I am at now.

Answer 10

Yes, but I'll let @J-Cross18 handle it with his deep understanding of mathematics :D

Answer 11

what are you still confused at @Shanaronan

Answer 12

The lack of an answer.

Answer 13

i am still lost on what she needs help on so sorry.

Answer 14

But your a Genius right? @J-Cross18

Answer 15

How do I take it from data to function?

Answer 16

Yes i am thank you very much and I do not know sorry

Answer 17

x= the year
f(x) is the budget amount
plug in values from your data set to each of the choices

Answer 18

I still don't understand this problem, I tried plugging like that and didn't give any of the answers.

Answer 19

This is a statistical model where you try to find the "best fit" line also called the linear regression model. So when you plug in x you won't get the exact y value but close enough.

Do you have a statistical calculator that calculates regression equation? If not there are many free online resources where you plug in the x,y values and it will tell you the regression equation.

Answer 20

I don't have a calc like that, can you link me a good one?

Answer 21

@Shanaronan did you read my message I sent u

Answer 22

http://www.mathportal.org/calculators/statistics-calculator/correlation-and-regression-calculator.php

Answer 23

But without even using the calculator, put x = 0 (representing the year 1990) into each of the answer choices and see which one gives you close to 265.1. Then test some other data point, say, x = 5 (for year 1995) and see if it gives close to 320.4. Then that would be the answer. Put x = 11 and calculate to find the budget for the year 2001.

Answer 24

Thanks for the help ^^ Give me a sec to calculate it.

Answer 25

Thanks, the answer is D ^^

Answer 26

Yes! Good job.

Answer 27

You can copy and paste the following in the X row in the link I gave you:
0 1 2 3 4 5 6 7 8 9
and the following in the Y row:
265.1 277.5 288.9 303.0 311.3 320.4 334.5 351.2 368.2 381.7

Check mark :Find the equation of the regression line
and click Compute to see if the regression equation matches D).

Answer 28

Well?