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: Age (Yrs) HDL (?μmol/L) 38 57 42 54 46 34 32 56 55 35 52 40 61 42 61 38 26 47 a) Compute the regression equation for HDL as a function of age. b)Interpret the meaning of the regression parameters. c) Compute r and r2. Interpret these statistics.
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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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:
| Age (Yrs) | HDL (?μmol/L) |
| 38 | 57 |
| 42 | 54 |
| 46 | 34 |
| 32 | 56 |
| 55 | 35 |
| 52 | 40 |
| 61 | 42 |
| 61 | 38 |
| 26 | 47 |
a) Compute the regression equation for HDL as a
b)Interpret the meaning of the regression parameters.
c) Compute r and r2. Interpret these statistics.
d) What is your opinion of the usefulness of using age as a predictor of HDL?
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