Question

The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making ac. Interpret the regression equation. For each policeman added, the number of crimes goes by one.

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Answer #1

The data values are:

Police Number of crimes
18 17
19 13
28 4
31 7
19 7
14 21
13 25
24 5

Using Excel<data<data analysis<regression

Regression Analysis
0.716
r   -0.846
Std. Error   4.552
n   8
k   1
Dep. Var. Number of crimes
ANOVA table
Source SS   df   MS F p-value
Regression 313.5654 1   313.5654 15.13 .0081
Residual 124.3096 6   20.7183
Total 437.8750 7  
Regression output confidence interval
variables coefficients std. error    t (df=6) p-value 95% lower 95% upper
Intercept 34.0452 5.80 5.87 0.00 19.86 48.23
Police -1.0443 0.2684 -3.890 .0081 -1.7012 -0.3875

Answers:

a) y = 34.0452 – 1.0443x

b) y = 34.0452 – 1.0443x

y = 34.0452 -1.0443 * 26 = 6.892~7

c) It goes down by one [Please let me know if there is any change in options]

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