Assume that the following data was collected for a chemical reaction where reactants A and B are reacting to form products C and D. As the products are formed, we measure their masses. You will be graded on both the accuracy of your work and the quality of your written communication.

- anonymous

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- anonymous

a) What is the equation for the model of best fit? Illustrate your process carefully. Find out from your instructor how to submit your calculator screens.
b) What does your model predict would have been the amount present at 5 minutes?
c) At what time would 25.1 grams be produced, according to your model?
d) Are the products formed at a constant rate over time? Explain.

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- undeadknight26

I'm lost sorry m8

- anonymous

All good m8 @undeadknight26

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## More answers

- TheSmartOne

since you asked for QH help, let the QH's help @dan815 @nincompoop

- dan815

what grade are you in?

- anonymous

@dan815 senior in high school

- dan815

okay graph your points and u will see it has an exponential fit

- anonymous

Yes I see that

- dan815

okay you're going to think about your own ways to come up with what exponential curve you will use, so you can talk about how to arrived at it

- anonymous

what about b)?

- anonymous

Help anyone

- anonymous

@dan815

- ganeshie8

Hi!

- anonymous

Hi @ganeshie8 can you be my savior?

- ganeshie8

I'm not so sure, do you mind sharing some more info, like, the course/module name and if you have any worked example problem that would really help!

- anonymous

It's AP stats and power models. I'm sorry I don't have an example at this time

- ganeshie8

Ahh then it is easy, have you plotted the given points ?

- anonymous

Yes I have

- ganeshie8

did you get the power model equation from ur calculator ?

- ganeshie8

we need that for part b, so please share the equation

- ganeshie8

what ever the equation is, for part b, you simply need to evaluate the function from part a at \(x=5\)

- anonymous

Right I'm trying to figure the correct equation now. Unsure how to get it in proper form

- ganeshie8

Look at the scatter plot and decide on the model first :
|dw:1438329230945:dw|

- ganeshie8

pick one of below two :
|dw:1438329385821:dw|

- anonymous

Exponential regression

- ganeshie8

good, work part \(a\) again, because your equation is way off the given data points

- anonymous

How do I even rework or find out the equation when I have no idea what a or b is

- ganeshie8

you have worked the part \(a\) already right ?

- ganeshie8

my calculator gives below equation for part \(a\) :
\[y = 2.43*(1.16)^x\]
you should also get something close to that

- ganeshie8

|dw:1438330415594:dw|

- Jhannybean

Such a beautiful graph

- anonymous

Yes! I can now calculate b c d
Thank you @ganeshie8 I was able to finally able to get it and answer these questions with your help
I have one more problem which is somewhat similar and has been

- anonymous

A somewhat similar problem that has been bothering me, do you have the time to assist if I start a new thread?

- ganeshie8

I'll try, you may ask it here..

- anonymous

Many wildlife populations are monitored by taking aerial photographs. Information about the number of animals and their whereabouts is important to protecting certain species and to ensuring the safety of surrounding human populations. In addition, it is sometimes possible to monitor certain characteristics of the animals. The length of an alligator can be estimated quite accurately from aerial photographs or from a boat. However, the alligator's weight is much more difficult to determine. In the example below, data on the length (in inches) and weight (in pounds) of alligators captured in central Florida are given. Develop a model from which the weight of an alligator can be predicted from its length.

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- ganeshie8

As usual, start by plotting the given data points and decide on which regression model to use

- ganeshie8

Notice that weight is dependent variable here, so it goes in y axis
and length along x axis.

- anonymous

Here is the plot

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- anonymous

this also appears to be exponential regression

- ganeshie8

Yes, I think so.. my calculator gave this equation for exponential regression :
\[y=3.8*(1.036)^x\]

- ganeshie8

From the model it seems the weight is increasing by \(3.6\%\) for every \(\text{one inch}\) increase in the length

- anonymous

Thank you very much for your help @ganeshie8 . Truly an experienced and kind math wizard! Appreciate your help so much!

- ganeshie8

np :) when you're free and if you're interested, check out this mooc course from coursera
https://www.coursera.org/course/apstat
it is free and might help with your preparation!

- Astrophysics

ganeshie what program did you use for that graph, geogebra?

- Astrophysics

program/ site

- ganeshie8

Yes, it has this spreadsheet feature which is really cool for regression stuff
http://prntscr.com/7z5iqp

- Astrophysics

That's sick, thanks

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