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

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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.