The city council of Pine Bluffs is considering increasing the number of police i

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.

City Police Number of Crimes City Police Number of Crimes
Oxford 17 13 Holgate 18 6
Starksville 18 12 Carey 15 17
Danville 26 4 Whistler 13 21
Athens 28 6 Woodville 23 6

(a)
Determine the regression equation. (Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign.)

= + X

(b)
Estimate the number of crimes for a city with 25 police officers. (Round your answer to 4 decimal places.)

Number of crimes

(c) Interpret the regression equation.

For each policeman added, the number of crimes goes by one.

Explanation / Answer

a. y = 30.0038 + -0.9812X b. 30.0038 + -0.9812*25 = 30.0038 - 24.35 = 5.4738 number of crimes 5.4738 c. There is a negative correlation between the number of police officers and the number of crimes. According to the equation, for each policeman added, the number of crimes will decrease by one.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.