Question

STARBUCKS MODELING GROWTH
By 1987, the number of Starbucks stores had grown to 17 and by 2005 there were 10,241 locations. The data in the table below (obtained from Starbucks Coffee's website, www.starbucks.com) summarize the growth of this company from 1987 through 2005.

1 Enter the data into your grapher or computer (let x = 0 represent 1987). Draw a scatter plot for the data
2 What regression model most closely matches scatter plot

Answer 1

@mathmale
@ganeshie8
@Mehek14
@imqwerty

Answer 2

Please help

Answer 3

this problem requires the application of many skills, including graphing and the use of statistical features on your calculator.

First of all, you need to plot all of the given data points. Taking the sizes of the two different data types (time and # of stores), you might want to divide up the x (time) axis into 10 parts and label the scale divisions 0-10. For the vertical (y-) axis, I'd suggest you subdivide it into 11 parts, and label the scale divisions 0 to 11000. Use the Draw untility, below, as your medium.

Answer 4

Is that how I should of plotted them?

Answer 5

@mathmale

Answer 6

@mathmale

Answer 7

Go here and enter the data:

http://www.alcula.com/calculators/statistics/linear-regression/

Answer 8

When you load the data, it will look like this:

Answer 9

@Daisy.xoxo619

Answer 10

would it work for an exponential model?

Answer 11

No, this is linear. Let me read the problem again.

Answer 12

The problem asked for a regression model of best fit. No mention of exponential.

However, the linear fit is poor.

Answer 13

It sounds as if you already know that exponential is the best model.

But, do you know why?

Answer 14

no I'm not sure

Answer 15

is it because go the curve?

Answer 16

*of

Answer 17

I am looking at an exponential regression online calculator here:

http://keisan.casio.com/exec/system/14059930973581

Answer 18

ok let me load the date

Answer 19

*data

Answer 20

Based on this, I think we are looking for the exponential model.

"1. Enter the data in the table into your graphing utility. (Let
t = 0 represent 1987.) and find the exponential
regression model."

http://tifftheteach.weebly.com/uploads/4/6/0/4/46043071/day_3.1_exponential_regression.pdf

Answer 21

would y=27.9*2.0^x be correct ?

Answer 22

Here is my loaded data.

Answer 23

Better Fit for this Graph

Answer 24

from the table in http://tifftheteach.weebly.com/uploads/4/6/0/4/46043071/day_3.1_exponential_regression.pdf
are the x values correctly loaded in Exponential regression Calculator?

Answer 25

I am looking at this as the exponential regression equation.

y = 27.9 * 2.042 ^ x

Answer 26

Yes, the instructions state to let time begin at 0 so 1987 is year zero.

Answer 27

but then would the year 1989 be at 1 or 2?

Answer 28

>>would y=27.9*2.0^x be correct ?

Yes. Are there any instructions about how many decimal places to include?

Answer 29

thanks

Answer 30

You are welcome.