A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete. Is the linear correlation coefficient significant? Set up the appropriate hypothesis to test the significance. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10 Group of answer choices H0: r = 0 and Ha: r ≠ 0 H0: r ≠ 0 and Ha: r = 0 H0: ρ = 0 and Ha: ρ ≠ 0 H0: ρ ≠ 0 and Ha: ρ = 0
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.
A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete. Is the linear
|
Number of Endorsements |
0 |
3 |
2 |
1 |
5 |
5 |
4 |
3 |
0 |
4 |
|
Profit (in Millions) |
2 |
8 |
7 |
3 |
13 |
12 |
9 |
9 |
3 |
10 |
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