Question

Could anyone draw a scatter plot of this table for me? I'll give a medal.
Table is in comments.

Answer 1

@Mertsj

Answer 2

Ok give me a few moments

Answer 3

Okay thank you so much..

Answer 4

Normally I would use excel, but geogebra does a much better job at scatter plots

Answer 5

Yeah lol

Answer 6

have you heard of geogebra? or used it?

Answer 7

No I have not

Answer 8

alright, nearly done

Answer 9

I was just curious, you should check it out when you have time

Answer 10

Again thank you!

Answer 11

see attached pic

Answer 12

Could you help me with another problem?

Answer 13

One question is, "What are two equations that model this table"

Answer 14

@jim_thompson5910

Answer 15

so you want to find the linear regression equation?

Answer 16

It's just asking What are two equations for this table?

Answer 17

hmm well off the top of my head, it looks like no simple equation goes through all of the points

Answer 18

but you can use regression to get a line or curve that's close as possible to each point

Answer 19

unfortunately regression is a very long and complicated process

but

luckily geogebra also has regression functions built in, so that saves us a ton of time

Answer 20

here is a picture of the linear regression line (in green) and the exponential regression curve (in blue)

Answer 21

the equation of the green linear regression line is

y = 1.62121x - 4.73333

this is an approximation of course

Answer 22

the equation of the blue exponential curve is

y = 2.11822e^(0.13693x)

Answer 23

Now it says what are the domain and range of the equations?

Answer 24

well it looks like each point is in Q1, so that would give off the idea that the domain is the set of positive numbers

Answer 25

similarly, the range would also be the set of positive numbers (since each point is in Q1)

Answer 26

Could you help me out with two more? :)

Answer 27

@jim_thompson5910 ?

Answer 28

ok

Answer 29

go for it

Answer 30

About how much money did Stacies store earn in the fifth month?

Answer 31

and explain

Answer 32

this is based off the same scatter plot right?

Answer 33

yes lol

Answer 34

ok one sec

Answer 35

ok

Answer 36

ok so there's no data point for the fifth month

otherwise, it would be as simple as looking at the table

Answer 37

but we have data values for months 4 and 6

Answer 38

month 4: 5

month 6: 4

this is what the table tells us

Answer 39

average the two to get

(5+4)/2 = 9/2 = 4.5

Answer 40

so one possible value for month 5 is the number 4.5

Answer 41

Okay next question is : How much money do you expect the store to earn in the 24 month?

Answer 42

so if y is in thousands of dollars, then she earns 4.5 thousand dollars

if y is in millions, then she earns 4.5 thousand dollars

Answer 43

I meant if y is in millions, then she earns 4.5 million dollars

Answer 44

plug in x = 24 into each equation I gave you and tell me what you get

Answer 45

No solution ??

Answer 46

I don't know what to do lol, i'm confused ;/

Answer 47

next question is : How much money do you expect the store to earn in the 24 month?

Answer 48

one sec

Answer 49

alright

Answer 50

using the linear regression line, we get

y = 1.62121x - 4.73333

y = 1.62121(24) - 4.73333

y = 34.17571

Answer 51

use the exponential regression equation to get

y = 2.11822e^(0.13693x)

y = 2.11822e^(0.136939(24))

y = 56.662471504214

Answer 52

so the projection is either 34.17571 or 56.662471504214 for 24 months (depending on which model you use)

Answer 53

I have to go but thank you so much! How do you give medals?

Answer 54

just click best response, and yw