The following bivariate data set contains an outlier. X y 69.5 1231.5 52.6 -468 80.8 2623.2 44.4 -493.6 24.3 -1666.1 69.2 -2895.6 64.5 -2829.4 51.1 -3467 63.3 -2696.9 62.3 -189.3 60.1 2256.8 78 1827.7 83.8 -1501.7 57.3 1099 262.3 -21737.6 What is the correlation coefficient with the outlier? Enter your answer rounded to 3 decimal places. rw = What is the correlation coefficient without the outlier? (Hint: The last row is the outlier.) Enter your answer rounded to 3 decimal places. rwo = Would inclusion of the outlier change the evidence for or against a significant linear correlation? O Yes. Including the outlier changes the evidence regarding a linear correlation. O No. Including the outlier does not change the evidence regarding a linear correlation.
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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