**Overview**

A jewelry firm wants to submit a bid to purchase a large collection of diamonds but is uncertain how much it should bid. You will use the results from a predictive model to make a recommendation on how much the jewelry company should bid for the diamonds.

**Assignment Details**

A diamond distributor has recently decided to exit the market and has put up a collection of diamonds up for auction. Seeing this as a great opportunity to expand its inventory, a jewelry firm is interested in making a bid. To determine how much to bid, the firm’s analytics department will use a large database of diamond prices to build a multiple regression model to predict the price of a diamond based on its attributes.

As the business analyst, you are tasked to build the regression model and apply that model to make a recommendation for how much the company should bid for the entire collection of diamonds.

**Requirements**

To complete this assignment, you will be submitting a file in Word using an APA 7th report format to provide the answers to the following questions across five steps.

**Step 1 – Research and Reflect:**

- There have been numerous debates, articles, and even a movie (Blood Diamond) about the mining and international sales of “conflict diamonds.” Research and present (in no less than 500 words) the nature of the conflict diamond trade and the relevance of Drucker’s ideas to today’s multinational enterprises that participate in such activities.

**Step 2 – Understanding the Model:**

There are two datasets.

**diamonds**contains the data used to build the regression model.**new diamonds**contains the data for the diamonds the company would like to purchase.

[**NOTE:****The actual data files will be named and uploaded in Canvas by your professor.]**

Both datasets contain carat, cut, and clarity data for each diamond. Only the **diamonds** dataset has prices.

*Carat*represents the weight of the diamond and is a numerical variable.*Cut*represents the quality of the cut of the diamond, and falls into 5 categories: fair, good, very good, ideal, and premium. Each of these categories are represented by a number, 1-5, in the*Cut_Ord**Clarity*represents the internal purity of the diamond, and falls into 8 categories: I1, SI2, SI1, VS1, VS2, VVS2, VVS1, and IF. Each of these categories are represented by a number, 1-8, in the*Clarity_Ord*

Using Excel, build the multiple regression model using the **diamonds** dataset.

- Based on the Summary Output produced by the regression analysis write out the multiple regression model and explain why you are confident (or not confident) in the model to predict the price. NOTE: Copy and paste the summary output into your report.
- According to the model, if a diamond is 1 carat heavier than another with the same cut and clarity, how much more would the retail price of the heavier diamond be? Why?
- If you were interested in a 1.5 carat diamond with a
*Very Good*cut (represented by a 3 in the model) and a*VS2*clarity rating (represented by a 5 in the model), what retail price would the model predict for the diamond?

**Step 3 – Calculate the predicted price for each diamond:** Using the **new diamonds** dataset, for each diamond, plug in the values for each of the variables into the model (equation), then solve the equation to get the estimated, or predicted diamond price.

**Step 4 – Visualize the Data:** Create two scatter diagrams (or scatter plot).

- Plot 1 – Plot the data for the diamonds in the database, with carat on the x-axis and price on the y-axis.
- Plot 2 – Plot the data for the diamonds for which you are predicting prices with carat on the x-axis and predicted price on the y-axis.
- Note: If you know how, you can also plot both sets of data on the same chart in different colors.

- What strikes you about this comparison?
- After seeing this plot, do you feel confident in the model’s ability to predict prices? Why or why not?

**Step 5 – The Recommendation:** Now that you have the predicted price for each diamond, it’s time to calculate the bid price for the whole set. Note: The diamond price that the model predicts represents the final retail price the consumer will pay. The company generally purchases diamonds from distributors at **70%** of that price, so your recommended bid price should represent that. What bid do you recommend for the jewelry company? Please explain how you arrived at that number.

**Reference textbook**: Chapter 1,4,5,6,7

Render, B., Stair, R. M., Hanna, M. E., & Hale, T. S. (2017). *Quantitative Analysis for Management* (13th Edition). Pearson Education (US).