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. CityPolice Number of Crimes City Police Number of CrimesOxford 15 17 Holgate 17 7 Starksville 17 13 Carey 12 21 Danville 25 5 Whistler 11 19 Athens 27 7 Woodville 22 6 The regression equation is yˆ=29.39−0.96xy^=29.39-0.96x , the sample size is 8, and the standard error of the slope is 0.22. Use the 0.05 significance level. Can we conclude that the slope of the regression line is less than zero? RejectH0 and conclude the slope isless thanzero.

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Answered: The city council of Pine Bluffs is…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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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.

City	Police		Number of Crimes	City	Police	Number of Crimes
Oxford		15		17		Holgate	17	7
Starksville		17		13		Carey	12	21
Danville		25		5		Whistler	11	19
Athens		27		7		Woodville	22	6

The regression equation is yˆ=29.39−0.96xy^=29.39-0.96x , the sample size is 8, and the standard error of the slope is 0.22. Use the 0.05 significance level. Can we conclude that the slope of the regression line is less than zero?

Reject

H₀ and conclude the slope is

less than

zero.