The city council of Pine Bluffs is considering increasing the number of police i
ID: 3175429 • Letter: T
Question
The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gathered the following sample information.
Determine the coefficient of determination. (Round your answer to 2 decimal places.)
_________ percent of the variation in the number of crimes can be explained by the variation in the number of police.
The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gathered the following sample information.
Explanation / Answer
from above
a) SSE =68.48
hence std error of estimate =(SSE/(n-2))1/2 =3.3784
b) coefficient of determination =(Sxy)2/(SSx*SSy) =0.7646=R2
c)76% of the variation in the number of crimes can be explained by the variation in the number of police.
x y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi' (Y-Yi')^2 1920 15.00 17.00 10.56 26.27 16.02 14.99379 4.0248833 1930 17.00 13.00 1.56 1.27 5.77 13.07453 0.00555534 1940 25.00 5.00 45.56 47.27 -90.23 5.397516 0.15801859 1950 27.00 7.00 76.56 23.77 -73.73 3.478261 12.4026465 1960 17.00 7.00 1.56 23.77 -24.98 13.07453 36.8999653 1970 12.00 21.00 39.06 83.27 1.14 17.87267 9.78018788 1980 11.00 19.00 52.56 50.77 -6.23 18.8323 0.02812391 1990 22.00 6.00 14.06 34.52 -59.48 8.276398 5.18198565 Total 146.00 95.00 241.50 290.88 -231.75 68.4813665 mean 18.25 11.88 SSx Ssy SxyRelated Questions
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