STA 2023 EC Regression 1. A doctor wanted to determine whether there is a relation between a males age and his HDL cholesterol. He randomly selected 17 of his patients and determined their HDL levels. He obtained the following data. Age, x HDL, y 38 57 42 54 46 34 32 56 55 35 52 40 61 42 61 38 26 47 38 44 66 62 30 53 51 36 27 45 52 38 49 55 39 28 a) Calculate r b) Calculate the least regression line c) Test whether there is a linear relationship between age and HDL. Let a=0.05
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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