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Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire
Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (X) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table df Source SS MS F Regression Residual 1,885.5782 1,285.4934 3,171.0716 1 1,885.5782 41.07 28 45.9105 Total 29 Regression output Variables t(df 28) Coefficients Std. Error Intercept Distance-X 13.2605 3.1942 2.481 6.3279 7.754 6.41 b. How much damage would you estimate for a fire 9 miles from the nearest fire station? (Round your answer to the nearest dollar amount.) Estimated damage e-1. State the decision rule for 0.01 significance level: Ho p 0; H p # 0. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) or t> Reject HO if t e-2. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (X) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table df Source SS MS F Regression Residual 1,885.5782 1,285.4934 3,171.0716 1 1,885.5782 41.07 28 45.9105 Total 29 Regression output Variables t(df 28) Coefficients Std. Error Intercept Distance-X 13.2605 3.1942 2.481 6.3279 7.754 6.41 b. How much damage would you estimate for a fire 9 miles from the nearest fire station? (Round your answer to the nearest dollar amount.) Estimated damage e-1. State the decision rule for 0.01 significance level: Ho p 0; H p # 0. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) or t> Reject HO if t e-2. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic
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