The U.S. Department of Transportation wants to see if there is a relationship between motor vehicle fatality rate (units=fatalities per 1000 licenses) and the percentage of licensed drivers over 21 (units=10%). A regression analysis on 11 cities revealed Σxi = 93.50, Σx2i = 794.89, Σyi = 31.90, Σy2i = 100.27, and Σxiyi = 270.12.
What is the interpretation of β1?
a. |
For an increase of 0.001 fatalities/license in the motor vehicle fatality rate, the average percentage of licensed drivers over 21 decreases by 0.7357%. |
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b. |
None of the answers is correct |
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c. |
For an increase of 10% in percentage of licensed drivers over 21, the average motor vehicle fatality rate decreases by 0.0074 fatalities/license. |
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d. |
For an increase of 10% in percentage of licensed drivers over 21, the average motor vehicle fatality rate decreases by 0.1327 fatalities/license. |
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e. |
For an increase of 0.001 fatalities/license in the motor vehicle fatality rate, the average percentage of licensed drivers over 21 decreases by 7.3571%. |
ANSWER::
Slope is negative:: -7.3571
Option:: (e) is correct..........
Ans: For an increase of 0.001 fatalities/license in the motor vehicle fatality rate, the average percentage of licensed drivers over 21 decreases by 7.3571%.
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