Below is a sample of men’s shoe size and height. At 5% level of significance, is there a relationship between men’s shoe size and their height? Shoe size (x) Men's Heights (in inches), y 10 70 10.5 71 9.5 70 11 72 12 74 8.5 66 9 68.5 13 76 10.5 71.5 10.5 70.5 10 72 9.5 70 10 71 10.5 69.5 11 71.5 12 73.5 Leave your answer in 3 decimal places Find the coefficient of determination and whether the relationship between shoe size in men's height is significant? The coefficient of determination is . The relationship between shoe size and men’s height is . This should either be significant or not significant.
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.
Below is a sample of men’s shoe size and height. At 5% level of significance, is there a relationship between men’s shoe size and their height?
|
Shoe size (x) |
Men's Heights (in inches), y |
|
10 |
70 |
|
10.5 |
71 |
|
9.5 |
70 |
|
11 |
72 |
|
12 |
74 |
|
8.5 |
66 |
|
9 |
68.5 |
|
13 |
76 |
|
10.5 |
71.5 |
|
10.5 |
70.5 |
|
10 |
72 |
|
9.5 |
70 |
|
10 |
71 |
|
10.5 |
69.5 |
|
11 |
71.5 |
|
12 |
73.5 |
Leave your answer in 3 decimal places
Find the coefficient of determination and whether the relationship between shoe size in men's height is significant?
The coefficient of determination is . The relationship between shoe size and men’s height is . This should either be significant or not significant.
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