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Question Description

Details:

The purpose of this assignment is to apply simple regressionconcepts, interpret simple regression analysis models, and justifybusiness predictions based upon the analysis.

For this assignment, you will use the "Trucks" dataset. You will useSPSS to analyze the dataset and address the questions presented.Findings should be presented in a Word document along with the SPSSoutputs.

The business characteristics of n = 250 U.S. trucking and deliverycompanies for calendar year 2011 were recorded. Among thecharacteristics studied were the number of drivers and the number oftrucks (power units) each company employed.

Part 1:

Given that the data consists of counts and range of counts is large, anatural log transformation is usually performed to improve the linearmodel results. Apply a natural log transform to both variables and thenplot 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 whetheror not a relationship exists between the number of drivers and thenumber of trucks. Address the following questions in your writtenresponse:

  1. After fitting the model, plot the standardized residuals (onvertical axis) vs. the standardize predictions (on horizontal axis). Isthere a pattern? How would you interpret the pattern or lack of pattern?
  2. After fitting the model, derive the normal probability plot and interpret what the plot means.
  3. What is the coefficient of determination, R2, of the model? How would you interpret the R2?
  4. What is the estimate of β1? How would you interpret the estimate of β1?
  5. Is the estimate of β1 significantly different than 0? Assume an α = 0.01.
  6. What is a 95% confidence interval for β1? How would you interpret the 95% confidence interval for β1?
  7. If a new trucking and delivery company with 4,900 drivers were to beformed, how many trucks would you expect the company would employ basedon the model?

APA format is not required, but solid academic writing is expected.

This assignment uses a grading rubric. Please review the rubric priorto beginning the assignment to become familiar with the expectationsfor successful completion.

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