A doctor wanted to determine whether there is a relation between a male's age and his HDL (so-called good) cholesterol. The doctor randomly selected 17 of his patients and determined their HDL cholesterol. The data obtained by the doctor is the in the data table below. Complete questions below. LOADING... Click the icon to view the data obtained by the doctor. Age, x HDL Cholesterol, y Age, x HDL Cholesterol, y 37 57 38 46 42 52 64 63 45 33 28 55 34 54 49 37 53 35 26 46 50 40 50 38 60 42 47 56 59 38 40 30 24 46
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.
|
Age, x
|
HDL Cholesterol, y
|
Age, x
|
HDL Cholesterol, y
|
|
|---|---|---|---|---|
|
37
|
57
|
38
|
46
|
|
|
42
|
52
|
64
|
63
|
|
|
45
|
33
|
28
|
55
|
|
|
34
|
54
|
49
|
37
|
|
|
53
|
35
|
26
|
46
|
|
|
50
|
40
|
50
|
38
|
|
|
60
|
42
|
47
|
56
|
|
|
59
|
38
|
40
|
30
|
|
|
24
|
46
|
|
|
|
(a) Determine the least-squares regression equation from the sample data.
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