The accompanying data represent the number of days absent, x, and the final exam score, y, for a sample of college students in a general education course at a large state university. Complete parts (a) through (e) below. . Click the icon to view the absence count and final exam score data. No. of absences, x 0 1 2 3 4 5 6 7 8 9 Final exam score, y 88.4 87.2 83.1 81.2 78.3 73.8 64.8 72.6 65.6 67.1 Click the icon to view a table of critical values for the correlation coefficient. (a) Find the least-squares regression line treating number of absences as the explanatory variable and the final exam score as the response variable.
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.
No. of
absences, x
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
|
---|---|---|---|---|---|---|---|---|---|---|---|
Final
exam score, y
|
88.4
|
87.2
|
83.1
|
81.2
|
78.3
|
73.8
|
64.8
|
72.6
|
65.6
|
67.1
|
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