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 23 18 Holgate 24 9 Starksville 24 15 Carey 20 22 Danville 30 9 Whistler 19 24 Athens 33 11 Woodville 27 10 Determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 4 decimal places.) Estimate the number of crimes for a city with 21 police officers. (Round your answer to the nearest whole number.) Interpret the regression equation.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 | 23 | 18 | Holgate | 24 | 9 | ||||||||||||||
| Starksville | 24 | 15 | Carey | 20 | 22 | ||||||||||||||
| Danville | 30 | 9 | Whistler | 19 | 24 | ||||||||||||||
| Athens | 33 | 11 | Woodville | 27 | 10 | ||||||||||||||
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Determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 4 decimal places.)
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Estimate the number of crimes for a city with 21 police officers. (Round your answer to the nearest whole number.)
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Interpret the regression equation.
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