Question Description
The purpose of this assignment is to apply simple regression concepts, interpret simple regression analysis models, and justify business predictions based upon the analysis.
For this assignment, you will use the "Trucks" dataset. You will use SPSS to analyze the dataset and address the questions presented. Findings should be presented in a Word document along with the SPSS outputs.
The business characteristics of n = 250 U.S. trucking and delivery companies for calendar year 2011 were recorded. Among the characteristics studied were the number of drivers and the number of trucks (power units) each company employed.
Part 1:
Given that the data consists of counts and range of counts is large, a natural log transformation is usually performed to improve the linear model results. Apply a natural log transform to both variables and then plot the Y = log(Trucks) vs. X = log(Drivers).
Is there a linear relationship? Justify your answer by providing the SPSS output as an illustration.
Part 2:
Build a simple linear model by regressing Y on X and testing whether or not a relationship exists between the number of drivers and the number of trucks. Address the following questions in your written response:
- After fitting the model, plot the standardized residuals (on vertical axis) vs. the standardize predictions (on horizontal axis). Is there a pattern? How would you interpret the pattern or lack of pattern?
- After fitting the model, derive the normal probability plot and interpret what the plot means.
- What is the coefficient of determination, R2, of the model? How would you interpret the R2?
- What is the estimate of β1? How would you interpret the estimate of β1?
- Is the estimate of β1 significantly different than 0? Assume an α = 0.01.
- What is a 95% confidence interval for β1? How would you interpret the 95% confidence interval for β1?
- If a new trucking and delivery company with 4,900 drivers were to be formed, how many trucks would you expect the company would employ based on the model?
This assignment uses a grading rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.
|
1 |
2 |
3 |
4 |
5 |
||
|
100.0 %Content |
|
|||||
|
15.0 %Simple Regression Analysis Part 1 |
Discussion of the linear relationship and supporting SPSS output chart are not included. |
Discussion of the linear relationship and supporting SPSS output chart are incomplete or incorrect. |
Discussion of the linear relationship and supporting SPSS output chart are included but contain inaccuracies. |
Discussion of the linear relationship and supporting SPSS output chart are complete and mostly accurate. |
Discussion of the linear relationship and supporting SPSS output chart are complete and correct. |
|
|
75.0 %Simple Regression Analysis Part 2 |
Answers to simple regression analysis questions and supporting SPSS output charts are not included. |
Answers to simple regression analysis questions and supporting SPSS output charts are incomplete or incorrect. |
Answers to simple regression analysis questions and supporting SPSS output charts are included but contain errors or inaccuracies. |
Answers to simple regression analysis questions and supporting SPSS output charts are mostly complete and accurate. |
Answers to simple regression analysis questions and supporting SPSS output charts are complete and accurate. |
|
|
10.0 %Mechanics of Writing (includes spelling, punctuation, grammar, language use) |
Surface errors are pervasive enough that they impede communication of meaning. Inappropriate word choice or sentence construction is used. |
Frequent and repetitive mechanical errors distract the reader. Inconsistencies in language choice (register) or word choice are present. |
Some mechanical errors or typos are present, but they are not overly distracting to the reader. Correct and varied sentence structure and audience-appropriate language are employed. |
Prose is largely free of mechanical errors, although a few may be present. The writer uses a variety of effective sentence structures and figures of speech. |
Writer is clearly in command of standard, written, academic English. |
|
|
100 %Total Weightage |
||||||
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Writedemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Place Order” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.