An insurance company determines that a linear relationship exists between the cost of fire damage in major residential fires and the distance from the house to the nearest fire station. A sample of 15 recent fires in a large suburb of a major city was selected. For each fire, the following variables were recorded: x= the distance between the fıre and the nearest fire station (in miles) y= cost of damage (in dollars) The distances between the fire and the nearest fire station ranged between 0.7 miles and 6.1 miles. The correlation between cost and distance is 0.961. Test if the correlation is significant at a=.10. O No, the correlation is not significant because 0.961 does not exceed the critical value. O Yes, the correlation is significant because 0.961 exceeds the critical value. O No, the correlation is not significant because 0.961 exceeds the critical value.

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An insurance company determines that a linear relationship exists between the cost of fire damage in major
residential fıres and the distance from the house to the nearest fire station. A sample of 15 recent fires in a
large suburb of a major city was selected. For each fire, the following variables were recorded:
x= the distance between the fire and the nearest fire station (in miles)
y= cost of damage (in dollars)
The distances between the fire and the nearest fire station ranged between 0.7 miles and 6.1 miles.
The correlation between cost and distance is 0.961. Test if the correlation is significant at a=.10.
O No, the correlation is not significant because 0.961 does not exceed the critical value.
O Yes, the correlation is significant because 0.961 exceeds the critical value.
No, the correlation is not significant because 0.961 exceeds the critical value.
O Yes, the correlation is significant because 0.961 does not exceed the critical value.
O No, the correlation is not significant because 0.961 is smaller than 1.
Transcribed Image Text:An insurance company determines that a linear relationship exists between the cost of fire damage in major residential fıres and the distance from the house to the nearest fire station. A sample of 15 recent fires in a large suburb of a major city was selected. For each fire, the following variables were recorded: x= the distance between the fire and the nearest fire station (in miles) y= cost of damage (in dollars) The distances between the fire and the nearest fire station ranged between 0.7 miles and 6.1 miles. The correlation between cost and distance is 0.961. Test if the correlation is significant at a=.10. O No, the correlation is not significant because 0.961 does not exceed the critical value. O Yes, the correlation is significant because 0.961 exceeds the critical value. No, the correlation is not significant because 0.961 exceeds the critical value. O Yes, the correlation is significant because 0.961 does not exceed the critical value. O No, the correlation is not significant because 0.961 is smaller than 1.
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