a. Determine the regression equation. (Round to 2 decimal places.) Regression equation: ŷ = ______  + ______  t   b. Determine the specific index for each quarter. (Indexes should be in decimal form (e.g. 1.36 not 136). Rounded to 2 decimal places.)   Quarter Quarterly Index Q1   Q2   Q3   Q4

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section13.3: Simple Regression Models
Problem 6P: Do the sales prices of houses in a given community vary systematically with their sizes (as measured...
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The following data are the last three years of quarterly sales ($ thousands) for AmeriWeld. They are looking to forecast their sales for the upcoming year, 2021.

Quarter t Sales $ thousands (y)
2018 Q1 1 15
Q2 2 14
Q3 3 13
Q4 4 37
2019 Q1 5 54
Q2 6 34
Q3 7 67
Q4 8 73
2020 Q1 9 77
Q2 10 62
Q3 11 94
Q4 12 101

 

a. Determine the regression equation. (Round to 2 decimal places.)

Regression equation: ŷ = ______  + ______  t

 

b. Determine the specific index for each quarter. (Indexes should be in decimal form (e.g. 1.36 not 136). Rounded to 2 decimal places.)

 

Quarter Quarterly Index
Q1  
Q2  
Q3  
Q4  

 

c. What are the estimated sales (forecast) for the next four quarters?  (Values in $thousands. Round to 2 decimal places.)

 

Quarter Forecasted Sales
2021-1  
2021-2  
2021-3  
2021-3  
 
 
 
 
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