Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. EE 11 11 1.0 8.4 1.0 3.7 10+ 2.0 7.3 2.0 6.3 3.0| 7.2 3.0 | 7.8 7- 4.0 | 6.0 4.0 | 4.8 6- 5- 5.0 | 6.7 5.0 4.8 6.0 4.1 6.0 7.6 3- 2- 7.0 | 5.6 7.0 5.4 8.0 | 3.6 8.0 | 7.3 8 9 10 11 7 8 9 10 11 9.0 8.9 9.0 4.2 Figure 2 ] Figure 1 |10.0 7.5 10.0 2.9 11- 10+ 11- 10- 9+ 8- 1.0 | 7.7 1.0 | 1.0 2.0 | 2.0 2.0 5.2 8+ 3.0 3.7 3.0 3.0 7- 7. 4.0 1.9 4.0 4.0 5- 5.0 | 5.0 5.0 1.3 6.0 6.0 6.0 1.6 2+ 7.0 | 7.0 7.0 | 2.1 8.0 | 8.0 8.0 2.9 45 67 89 10 11 7 8 9 10 11 9.0 | 9.0 9.0 5.2 Figure 4 Figure 3 10.0 7.4 10.0 10.0 Answer the following questions. The same response may be the correct answer for more than one question. 1. In which data set is there evidence of a strong nonlinear relationship between the two variables? Choose one 2. Which data set indicates the strongest positive linear relationship between its two variables? Choose one 3. Which data set indicates a perfect negative linear relationship between its two variables? Choose one 4. Which data set has an apparent positive, but not perfect, linear relationship between its two variables? Choose one
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.
Below are four bivariate data sets and the
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