STUDENT ID FOOT SIZE (x) HAND SIZE (y) 1 8 5 2 7 6 3 10 7 4 12 8 5 14 8 6 12 9 7 12 8 8 14 7 9 9 7 10 14 9 11 8 6 12 10 8 13 9 7 14 9 7 15 10 8 16 8 6 17 13 9 18 12 8 19 10 6 20 9 7 210 146 Calculate the Pearson correlation between hand and foot size for students in the table. Graph the relationship, determine a hypothesis to test this relationship, and statistically test this hypothesis using alpha = 0.05. Interpret all results citing appropriate 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.
1.
|
STUDENT ID |
FOOT SIZE (x) |
HAND SIZE (y) |
|
1 |
8 |
5 |
|
2 |
7 |
6 |
|
3 |
10 |
7 |
|
4 |
12 |
8 |
|
5 |
14 |
8 |
|
6 |
12 |
9 |
|
7 |
12 |
8 |
|
8 |
14 |
7 |
|
9 |
9 |
7 |
|
10 |
14 |
9 |
|
11 |
8 |
6 |
|
12 |
10 |
8 |
|
13 |
9 |
7 |
|
14 |
9 |
7 |
|
15 |
10 |
8 |
|
16 |
8 |
6 |
|
17 |
13 |
9 |
|
18 |
12 |
8 |
|
19 |
10 |
6 |
|
20 |
9 |
7 |
|
|
210 |
146 |
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