2. The National Football Lcague (NFL) records a varicty of performance data for individuals and eams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (yds/Attempt) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season. Win Percentage(Y) Yards 50 63 38 50 50 81 50 44 13 25 Per 65 71 74 64 74 83 74 61 62
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.
![2. The National Football Lcaguc (NFL) rccords a varicty of performance data for individuals and
teams. To investigate the importance of passing on the percentage of games won by a team, the
following data show the average number of passing yards per attempt (yds/Attempt) and the
percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season.
Win
50
63
38
50
50
81
50
44
13
25
Percentage(Y)
Yards
Per | 6.5
7.1
7.4
6.4
7.4
8.3
7.4
6.1
5.2
6.2
Attempt(X)
(a)Find the least squares regression line .
(b) Plot the data points and graph the least squares line.
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