Least Squares Regression

Least squares regression is a popular method for developing mathematical relationships from empirical data. As mentioned earlier, it is a method that is well suited to the estimation of trip generation models. To illustrate the least squares approach, consider the hypothetical trip generation data presented in Table 8A.1, which could have been gathered from a typical survey of travelers.

To begin formalizing a mathematical expression, note that the objective is to predict the number of shopping trips made on a Saturday for each household, i; this number is referred to as the dependent variable (Yi). This prediction is to be a function of the number of people in household i (zi), which is referred to as the independent variable. A simple linear relationship between Yi and zi is

Don't use plagiarized sources. Get Your Custom Essay on
Least Squares Regression
Just from $13/Page
Order Essay

Yi = b0 + b1zi (8A.1)


Yi = number of shopping trips made by household i,

b0, b1 = coefficients to be determined by estimation, and Z = number of people in household i.

Ideally, one wants to determine the b’s in Eq. 8A.1 that will give predictions

of the number of shopping trips (Yi’s) that are as close as possible to the actual observed number of shopping trips. The difference or deviation between the observed and predicted number of shopping trips can be expressed mathematically as

Deviation = Yi – (b0 + b1zi) (8A.2)

Academic Heros
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

Our writers are encouraged to read and research widely to have rich information before writing clients’ papers. Therefore, be it high school or PhD level paper, it will always be a well-researched work handled by experts.

Professional and Experienced Academic Writers

For one to become part of our team, thorough interview and vetting is undertaken to make sure their academic level and experience are beyond reproach, hence enabling us give our clients top quality work.

Free Unlimited Revisions

Once you have received your paper and feel that some issues have been missed, just request for revision and it will be done. In addition, you can present your work to the tutor and he/she asks for improvement/changes, we are always ready to assist.

Prompt Delivery and 100% Money-Back-Guarantee

All our papers are sent to the clients before the deadline to allow them time to review the work before presenting to the tutor. If for some reason we feel our writers cannot meet the deadline, we will contact you to ask for more time. If this is not possible, then the paid amount will be refunded.

Original & Confidential

Our writers have been trained to ensure work produced is free of plagiarism. Software to check originality are also applied. Our clients’ information is highly guarded from third parties to ensure confidentiality is maintained.

24/7 Customer Support

Our support team is available 24 hours, 7 days a week. You can reach the team via live chat, email or phone call. You can always get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

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

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

You have had a hectic day, and still need to complete your assignment, yet it is late at night. No need to panic. Place your order with us, retire to bed, and once you wake up, the paper will be ready.


Essay Writing Service

It does not matter the urgency of your paper, or the academic level, our team is ready to help you 24/7. Just contact us and all your academic needs will be sorted.


Admission Essays & Business Writing Help

A student is often required to write an admission letter requesting to be admitted in a certain institution. For you to be gain that admission in your dream institution, you must write a convincing letter. You can depend on our team for the best admission letters.


Editing Support

Academic writing is not just about getting information and throwing it all over. Our team will ensure you have a polished paper that is coherent and has a good flow of information. We also ensure the paper follows the correct formatting styles like APA, Harvard, MLA, Chicago/Turabian.


Revision Support

If our writers write a paper but you are not satisfied in one way or another, you can always ask for revision. This is totally free. Our writers and editors will revise your paper untill you are be totally satisfied. We as well offer revision for papers not done by our writers at a small fee.