4. Write out the population model for the Original Price of LEGO sets based on a linear relationship between price and number of pieces and different intercepts for each LEGO set type. Again assume Star Wars is the baselevel. 5. Use JMP nd the estimate of the model from part 4. To estimate this model following the steps below: 0 Go to Fit Model. 0 Put Original Price into Y. Put the Number of Pieces and Type into the Add box. 0 Under Emphasis select Minimal Report and Click Run. 0 Go to the red arrow at the top next to Response Original Price. Select Estimates and Indicator Function Parameterization. o Minimize Effect Summary, Minimize Lack Of Fit1 Minimize Parameter Estimates. 0 Example: In the output you should see Type[City]. This is coded as an indicator variable as you defined in part 3. Write the estimated model here: (a) Use this output to write the simplied prediction equation for the linear relationship between the Original Price and Pieces for City LEGO sets. Show all your work. (b) Use this output to write the simplified prediction equation for the linear relationship between the Original Price and Pieces for Friend LEGO sets. Show all your work. (c) Use this output to write the simplified prediction equation for the linear relationship between the Original Price and Pieces for Disney LEGO sets. Show all your work. (d) Use this output to write the simplied prediction equation for the linear relationship between the Original Price and Pieces for Star Wars LEGO sets. Show all your work. 6. What is the predicted original price for a Friends LEGO set with 400 pieces? 7. Use your answer to parts (6a, 6b, 6c and (id) to explain what it means for the relationship between original \"Firm and \"n".l-mn- .F h:nnn 4m rum\". l-nr T'E'r' and +1mn