Allstate wants to study the relationship between the amount of fire damage between the burning house and the nearest fire station. This will be used in setting rates for insurance coverage.  For a sample of 30 claims for the last year, the Operations Director determined the distance from the fire station (x) and the amount of fire damage in thousands of dollars (y). The MegaStat output is below;  ANOVA Table Source SS df MS F Regression 1865.5782 1 1865.5782 39.71 Residual  1315.4934 28 46.9819   Total  3181.0716 29     Regression Output  Variables  Coefficients Std. Error  t(df=28) Intercept  12.5538 3.0301 3.678 Distance-X 3.4664 0.5501 6.3 Write out the regression equation (round to 3 decimal places)  How much damage would you estimate for a fire 10 miles from the nearest fire station? (round to nearest dollar amount)  Determine and interpret the coefficient of determination (round to 3 decimal places)

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Allstate wants to study the relationship between the amount of fire damage between the burning house and the nearest fire station. This will be used in setting rates for insurance coverage. 

For a sample of 30 claims for the last year, the Operations Director determined the distance from the fire station (x) and the amount of fire damage in thousands of dollars (y). The MegaStat output is below; 

ANOVA Table

Source SS df MS F
Regression 1865.5782 1 1865.5782 39.71
Residual  1315.4934 28 46.9819  
Total  3181.0716 29    

Regression Output 

Variables  Coefficients Std. Error  t(df=28)
Intercept  12.5538 3.0301 3.678
Distance-X 3.4664 0.5501 6.3
  • Write out the regression equation (round to 3 decimal places) 
  • How much damage would you estimate for a fire 10 miles from the nearest fire station? (round to nearest dollar amount) 
  • Determine and interpret the coefficient of determination (round to 3 decimal places) 

 

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