please use the facts and circumstances outlined above and address the following items.  

• Estimate the fixed and variable portions using the high-low method.
   
• Test the assertion. Using the updated data from techniques 1 and 3 as well as your estimates when applying technique 2, estimate the fixed, variable, and variable per dekatherm in the lower matrix.
  
   
• Draw two conclusions:
  • Was the company representation accurate?
    
     
  • What is a defensible estimate of variable cost per dekatherm?

Low High 2018 Production of Dths of Natural Gas 892.4 2017 1,078.1 2016 1,104.7 2015 1,247.5 Total 4,322.7 Overhead 6,465.0 6,801.1 6,849.3 7,107.7 27,223.1 Variable per Dth Technique #1: Graph 8,000.0 7,000.0 6,000.0 5,000.0 4,000.0 3,000.0 2,000.0 1,000.0 Dth & Overhead 2018 2017 2016 2015 Overhead Dths Overhead Technique #2: High-Low High Low Difference Variable/Dth Variable Fixed Technique #3: Regression Intercept Slope 4,850 1.81 Test the Assertion 2018 2017 Production of Dths of Natural Gas 892.4 1,078.1 2016 1,104.7 2015 1,247.5 Total 4,322.7 Overhead 6,465.0 6,801.1 6,849.3 7,107.7 27,223.1 100% 0% Fixed Variable Variable per Dth