3. Is a college student's freshman GPA a good predictor for the student's GPA at graduation? To investigate this question, thirty students were randomly selected. The data below represents their GPA at the end of their freshman year and at graduation. Graduation GPA Freshman Graduation Freshman Graduation Freshman GPA GPA GPA GPA GPA 2.32 2.49 3.86 3.38 R 3.12 2.36 3.15 2.97 3.05 1.28 2.64 1.98 3.05 1.88 3.26 1.79 2.9 2.28 1.67 2.78 1.45 2.7 0.98 a3.04 3.25 1.54 1.98 3.9 3.85 3.22 2.88 2.88 3.28 3.9 alte 2.88 1.42 2.50 3.08 3.05 2.98 93.02 2.08 2.28 3.17 2.88 2.98 3.05 2.38 3.85 3.05 3.8 2.2 3.48 2.68 3.92 3.28 2.5 2.9 a. Which variable is the independent variable? b. Which variable is the dependent variable? c. Is a linear model appropriate? If so, justify. If not, what type of model, if any, would be most appropriate?
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.
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