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 Click here for the Excel Data File Which variable is the dependent variable and which is the independent variable? Hint: Which of the following makes sense: Cities with more police have fewer crimes, or cities with fewer crimes have less police? Choose the scatter diagram that best fits the data. Scatter diagram 1 Scatter diagram 2 Scatter diagram 3 multiple choice Scatter diagram 1 Scatter diagram 2 Scatter diagram 3 c&d. Fill in the blanks below. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) x⎯⎯x¯ y⎯⎯y¯ Sx Sy Coefficient of correlation Coefficient of determination
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.
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 | ||||||||||||||
-
Which variable is the dependent variable and which is the independent variable? Hint: Which of the following makes sense: Cities with more police have fewer crimes, or cities with fewer crimes have less police?
-
Choose the
scatter diagram that best fits the data.
Scatter diagram 1 | Scatter diagram 2 | Scatter diagram 3 |
multiple choice
-
Scatter diagram 1
-
Scatter diagram 2
-
Scatter diagram 3
-
c&d. Fill in the blanks below. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)
x⎯⎯x¯ | ||
y⎯⎯y¯ | ||
Sx | ||
Sy | ||
Coefficient of |
||
Coefficient of determination | ||
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images