A doctor wanted to determine whether there is a relation between a male’s age and his HDL (so-called good cholesterol). He randomly selected 9 of his patients and determined their HDL cholesterol. The data is reported in the table below: c) Compute r and r2. Interpret these statistics. d) What is your opinion of the usefulness of using age as a predictor of HDL?
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.
A doctor wanted to determine whether there is a relation between a male’s age and his HDL (so-called good cholesterol). He randomly selected 9 of his patients and determined their HDL cholesterol. The data is reported in the table below:
c) Compute r and r2. Interpret these statistics.
d) What is your opinion of the usefulness of using age as a predictor of HDL?
![Age (Yrs)
HDL (Mumol/L)
38
57
42
54
46
34
32
56
55
35
52
40
61
42
61
38
26
47](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff69b3720-63dc-459d-83fc-5d9387b09e5f%2Ff4c32efc-b363-49d9-8366-8201b2d9a9c5%2Fvcuv6ri_processed.png&w=3840&q=75)
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