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Hi6007 Statistics And Research Methods-The Assessment Answers

The data for Task 1 in the data file for Assignment represents the starting costs in thousands of dollars) for different kind of business.

  1. 1.  Findmean, median, mode, range, variance and standard deviation separately for every type of business 
  2. 2.  For everybusiness type construct
  3.    frequencyandrelative frequency distributions starting from class 0 to 30
  4. b.  arelative  frequency histogram 
  5. 3.  Discussthe results obtained in parts 1 and 2   
  6. 4.  Testif there significant difference in the starting costs for these types of business.

The data for Task 2 in the data file for Assignment represents the following variables for franchisees of All Greens Pty Ltd: annual sales ($’000), the floor area (sq.ft.’000), inventory ($’000), advertising expenditure ($’000), the size of the area where the business operates (number of families, ‘000) and the number of competitors in the area.

  1. 1.  Present theMS Excel output and write down the estimated regression equation 
  2. 2.  Howwell the model fits the data
  3. 3.  Testthe hypothesis that there is no significant relationship between the dependent and any of the independent variables  
  4. 4.  Interpretindividual slope coefficients 
  5. 5.  Constructa 95% confidence interval for the slope coefficients of individual variables
  6. 6.  Testthe estimated slope coefficients for individual variables for significance
  7. 7.  Removeall insignificant variables and re-estimate the model      
  8. 8.  Usingthe model from part (g), predict annual sales for a franchisee with 1,000 sq ft floor area, $150,000 inventory, $5,000 spent on advertising, 5,000 families in the area of operation and 2 competiton.

Answer:

X1X4X5Summary Statistics: Starting Costs in $'000Type of Business
1259680Mean8392.09
353530Median8087
589935Mode35#N/A
1107530Standard Deviation34.1338.89
14015028Sample Variance1165.171512.69
974520Range105120
Variable X1: Pizza ShopsX2X3X4X5X6
Starting Costs (in $000)32948.28.211
0 to 302.22326.94.112
31 to 600.514934.315
61 to 905.56001216.11
91 to 1204.456710.614.15
121 to 1504.857111.812.74
Total3.15128.110.110
Variable X2: Baker or Donuts Shops0.61024.94.78
Starting Costs (in $000)5.478817.412.31
0 to 304.257710.5147
31 to 604.753511.3153
61 to 900.61632.52.514
91 to 1201.21684.73.311
121 to 1501.61514.62.710
151 to 1804.33425.5164
Total2.61967.26.313
Variable X3: Shoe Store5.661512.3160
Starting Costs (in $000)0.82782.86.514
0 to 301.11423.11.612
31 to 603.64619.611.36
61 to 903.53829.811.55
91 to 1205.15901215.70
121 to 1508.65177128
121 to 150Regression5952538.9190507.8611.590
Starting Costs (in $000)Intercept-18.8630.15-0.6260.5384
0 to 30X216.203.544.5710.0002
31 to 60X30.170.063.0320.0063
61 to 90X411.532.534.5520.0002
91 to 120X513.581.777.6710.0000
121 to 150X6-5.311.71-3.1140.0052

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