Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 60 268 2 120 285 3 79 289 4 109 260 5 76 274 6 98 268 7 72 266 8 114 264
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.
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams.
| Team | Games Won | Batting Average |
| 1 | 60 | 268 |
| 2 | 120 | 285 |
| 3 | 79 | 289 |
| 4 | 109 | 260 |
| 5 | 76 | 274 |
| 6 | 98 | 268 |
| 7 | 72 | 266 |
| 8 | 114 | 264 |
Using games won as the explanatory variable ?, do the following:
(a) The
(b) The equation of the least squares line is ?̂= .
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