Allstate wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This will be used to set 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 What % of the variation in damage is explained by the variation in distance? (round to 1 decimal place)  Determine the correlation coefficient (round to 3 decimal places)  Compute the value of the test statistic (round to 2 decimal places)

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Allstate wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This will be used to set 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
  • What % of the variation in damage is explained by the variation in distance? (round to 1 decimal place) 
  • Determine the correlation coefficient (round to 3 decimal places) 
  • Compute the value of the test statistic (round to 2 decimal places) 
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