The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. I| 11.3 y | 13.5| 10.7 9.7 | 7.1 x = thousands of automatic weapons y = murders per 100,000 residents 8.1 | 6.7| 3.6 2.4 2.2 | 2.7 0.5 6.4 5.8 6.6 | 4.8 This data can be modeled by the equation ŷ = 0.81x + 4.3. Use this equation to answer the following. A) How many murders per 100,000 residents can be expected in a state with 9.3 thousand automatic weapons? Answer - Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 5.5 thousand automatic weapons?
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.
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