This Question: 1 pt 10 of 15 (5 complete) This Quiz: 15 pts possible A fire insu

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This Question: 1 pt 10 of 15 (5 complete) This Quiz: 15 pts possible A fire insurance company wants to examine the relationship between the amount of fire damage in major residential fires to the distance between the burning house and the nearest fire station. A sample of 15 recent fires in a particular city was taken. The amount of damage to the house and the distance from the burning house to the nearest fire station were recorded. Part of the output from a simple linear regression analysis is given below. Which of the following is a correct interpretation of R-square? Click the icon to view the regression analysis Choose the correct answer below O A. 26% of the variation in the amount of damage to a house is explained by a simple linear regression with the distance of the burning house from the nearest fire O B. 9.8101% of the variation in the amount of damage to a house is explained by a simple linear regression with the distance of the burning house from the ° C. 9.8101% of the variation in the amount of damage to a house is explained by a simple linear regression with the distance of the burning house from the 0 D. 26% of the variation in the amount of damage to a house is explained by a simple linear regression with the distance of the burning house from the nearest fire station as the response variable nearest fire station as the explanatory variable nearest fire station as the response variable station as the explanatory variable Regression Analysis 1.2kis Predictor Constant distance oe 16.301 3.554 SE Coef 6.015 1.663 S=9.8101 R-Sq = 26.0% Click to select yo Print Done

Explanation / Answer

Correct interpretation of R-square is:

26% of the variation in the amount of damage to a house is

explained by a simple linear regression with the distance of

the burning house from the nearest fire station as the

explanatory variable.

Hence, Option (D) is the correct choice. (Ans).

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