# Exponentials

Homework 6
Below is a scatter plot with both a linear model and an exponential model for a data set for 6-sided dice (like we did in class). The data was created by rolling 6 sided dice, removing any dice that rolled a “1” and recording how many dice were remaining.

Does a linear trendline look unreasonable for this data? Why or why not?

Don't use plagiarized sources. Get Your Custom Essay on
Exponentials
Get an essay WRITTEN FOR YOU, Plagiarism free, and by an EXPERT!

Does an exponential trendline seem unreasonable for this data? Why or why not?

Write down the linear model for this data and describe what each of the values in the model mean for this dice rolling context.

y = _____________________

Write down the exponential model for this data.

y = ________________________

Calculate the e^bvalue (round to 4 decimal places): e^b = __________
Using e^b= rrewrite this model in the form y = a*R^x

y = ______________________

Describe what each of the values (including the variables) in the y = a*R^x model mean for this dice rolling context.

Which value in the exponential model represents something similar to the y-intercept of a linear model? Explain how they are similar.

Which value in the exponential model represents something similar to the slope of a linear model? Explain how they are similar.

Suppose we start with 1,500 dice and as we roll them, we remove dice that are rolled a 1. Fill in the table below with the appropriate theoretical model for how many dice will be remaining after x rolls, depending on how many sides the dice have:
Dice Model in the form y = a*R^x
5-sided

13-sided

10-sided

Suppose we change the rule of decay and say that we will remove a dice if it is rolled the highest possible value. Explain why the models above also work for this situation.

What if we remove not only dice which roll a 1, but we also remove any dice which roll a 2. Fill in the table below with the appropriate theoretical model for how many dice will be remaining after x rolls.

Dice Model in the form y = a*R^x
5-sided

13-sided

10-sided

How did the models change and why?

Order NOW For a 10% Discount!
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

## Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.