The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the attached data table with a sample correlation coefficient r of 0.910. Remove the data entry for the man who is 49 years old and has a systolic blood pressure of 199 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology. Age, x Systolic blood pressure, y 16 110 26 122 39 142 44 132 49 199 64 185 72 199 31 130 56 174 23 117 Click the icon to view the data set. The new correlation coefficient r ▼ A. gets stronger, b.gets weaker, C.stays the same, going from 0.910 to= .
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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Age, x
|
Systolic blood pressure, y
|
|
|---|---|---|
|
16
|
110
|
|
|
26
|
122
|
|
|
39
|
142
|
|
|
44
|
132
|
|
|
49
|
199
|
|
|
64
|
185
|
|
|
72
|
199
|
|
|
31
|
130
|
|
|
56
|
174
|
|
|
23
|
117
|
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