356 Regression Analysis Chapter I 11.45 The following residuals and predicted values were obtained from an experiment that related yield of a chemical process (v) to the initial concentration (x) of a component (the time order of the experiments is given in parentheses): Residual Predicted Predicted Residual 0 3.5 (3) 4.0 (12) 4.2 (4) 4.1 (5) 3.2 (9) -2 -1 -2 3.5 (13) 3 3.9 (11) 4.3 (2) 2 4.3 (1) -3 -5 -1 3.3 (7) 3.7 (10) 3.2 (6) 5 4.6 (14) 3.6 (8) 0 1 Examine the residuals for evidence of a violation of the assumptions. 11.6 Correlation So far in this chapter, we have studiod
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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