The following data was collected to explore how a student's age and GPA affect the number of parking tickets they receive in a given year. The dependent variable is the number of parking tickets, the first independent variable (x1x1) is the student's age, and the second independent variable (x2x2) is the student's GPA. Effects on Number of Parking Tickets Age GPA Number of Tickets 17 3 1 20 3 4 20 3 4 22 3 4 22 33 6 23 33 6 23 44 7 24 44 7 25 44 8 Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places. Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.010.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.
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 a student's age and GPA affect the number of parking tickets they receive in a given year. The dependent variable is the number of parking tickets, the first independent variable (x1x1) is the student's age, and the second independent variable (x2x2) is the student's GPA.
| Age | GPA | Number of Tickets |
|---|---|---|
| 17 | 3 | 1 |
| 20 | 3 | 4 |
| 20 | 3 | 4 |
| 22 | 3 | 4 |
| 22 | 33 | 6 |
| 23 | 33 | 6 |
| 23 | 44 | 7 |
| 24 | 44 | 7 |
| 25 | 44 | 8 |
Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.
Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.010.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.
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