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PLEASE provide me a step by step answer so I can understand how to create the binary model involved to resolve the question. Zach has

PLEASE provide me a step by step answer so I can understand how to create the binary model involved to resolve the question.

Zach has collected the data of several Stanley Cup rings sold in the Hockey Memorabilia auctions in the past year and plans to use the data to predict the average selling prices of similar items in the upcoming auction. The data includes final auction selling price, weight, and type of metal (10K Gold, 14K Gold or Sterling Silver), as well as whether each ring had diamonds or not.

a) Help Zach to construct a multiple regression model for this problem. (Hint: Create a set of binary independent variables to represent the metal types, and another independent variable for the diamond). Provide the mathematical equation of the regression model, and then perform the regression analysis in Excel. Please show step by step about how to create the binary model.

Metal Type Diamond Weight (grams) Price
14K Gold Yes 10.7 1008
14K Gold Yes 14 1505
14K Gold No 9 735
Sterling Silver Yes 8 483
10K Gold Yes 10 938
14K Gold No 10.5 903
10K Gold Yes 16 1085
10K Gold No 15 693
10K Gold No 6.5 269.5
10K Gold No 5 255.5
10K Gold Yes 25 1820
Sterling Silver Yes 10.4 378
Sterling Silver No 7.4 273
Sterling Silver No 5.4 206.5
14K Gold No 15.4 763
14K Gold No 12.4 626.5
Sterling Silver No 6 294
Sterling Silver Yes 9 455
Sterling Silver Yes 9 805
Sterling Silver No 12.4 346.5
Sterling Silver No 7.5 255.5
Sterling Silver Yes 14 763
Sterling Silver No 7 315
Sterling Silver No 9 406
Sterling Silver Yes 12 623
Sterling Silver No 5.5 210
Sterling Silver No 6 217
Sterling Silver Yes 12 833
10K Gold No 5.5 154
Sterling Silver Yes 14.2 763
10K Gold Yes 11 693
Sterling Silver Yes 16 693
14K Gold Yes 13.5 1253
10K Gold Yes 11.1 693
10K Gold Yes 9.8 623
Sterling Silver Yes 10 525
14K Gold Yes 13 1393
Sterling Silver Yes 13 651
Sterling Silver Yes 11.7 455
10K Gold No 12.3 518
10K Gold Yes 19.5 1155
Sterling Silver Yes 15.2 693
Sterling Silver Yes 10 304.5
Sterling Silver Yes 11 658
10K Gold Yes 17.8 1323
10K Gold No 11.5 525
10K Gold No 12.7 416.5
Sterling Silver No 8 294
10K Gold No 7.5 161
Sterling Silver No 9 367.5
14K Gold No 14 693
14K Gold No 12.4 623
10K Gold Yes 8.8 455
Sterling Silver No 8.5 381.5
Sterling Silver No 6 171.5
Sterling Silver Yes 11 364
Sterling Silver No 11.1 437.5
Sterling Silver No 14.5 623
Sterling Silver No 5 150.5

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