Study Hours GPA ACT Score 1 22 17 2 33 18 3 44 20 5 44 31 5 44 31 Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.
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.
The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1) is the number of hours spent studying, and the second independent variable (x2) is the student's GPA.
| Study Hours | GPA | ACT Score |
|---|---|---|
| 1 | 22 | 17 |
| 2 | 33 | 18 |
| 3 | 44 | 20 |
| 5 | 44 | 31 |
| 5 | 44 | 31 |
Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.
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