Question

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.

Answer 1

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.

Answer 2

I'm lost sorry m8

Answer 3

All good m8 @undeadknight26

Answer 4

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

Answer 5

what grade are you in?

Answer 6

@dan815 senior in high school

Answer 7

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

Answer 8

Yes I see that

Answer 9

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

Answer 10

what about b)?

Answer 11

Help anyone

Answer 12

@dan815

Answer 13

Hi!

Answer 14

Hi @ganeshie8 can you be my savior?

Answer 15

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!

Answer 16

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

Answer 17

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

Answer 18

Yes I have

Answer 19

did you get the power model equation from ur calculator ?

Answer 20

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

Answer 21

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

Answer 22

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

Answer 23

Look at the scatter plot and decide on the model first :

Answer 24

pick one of below two :

Answer 25

Exponential regression

Answer 26

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

Answer 27

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

Answer 28

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

Answer 29

my calculator gives below equation for part \(a\) :
\[y = 2.43*(1.16)^x\]

you should also get something close to that

Answer 30

Such a beautiful graph

Answer 31

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

Answer 32

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

Answer 33

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

Answer 34

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.

Answer 35

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

Answer 36

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

Answer 37

Here is the plot

Answer 38

this also appears to be exponential regression

Answer 39

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

Answer 40

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

Answer 41

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

Answer 42

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!

Answer 43

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

Answer 44

program/ site

Answer 45

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

Answer 46

That's sick, thanks