What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 6 1 16 12 2 1 16 1 Score 72 51 87 72 60 63 100 48 r2r2 = (Round to two decimal places) There is a large variation in the final exam scores that students receive, but if you only look at students who spend a fixed amount of time studying per week, this variation on average is reduced by 84%. There is a 84% chance that the regression line will be a good predictor for the final exam score based on the time spent studying. Given any group that spends a fixed amount of time studying per week, 84% of all of those students will receive the predicted score on the final exam. 84% of all students will receive the average score on the final exam. 3. Use the model to predict the final exam score for a student who spends 11 hours per week studying. Final exam score = (Please round your answer to the nearest whole number.)
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.
What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below.
| Time | 6 | 1 | 16 | 12 | 2 | 1 | 16 | 1 |
|---|---|---|---|---|---|---|---|---|
| Score | 72 | 51 | 87 | 72 | 60 | 63 | 100 | 48 |
- r2r2 = (Round to two decimal places)
-
- There is a large variation in the final exam scores that students receive, but if you only look at students who spend a fixed amount of time studying per week, this variation on average is reduced by 84%.
- There is a 84% chance that the regression line will be a good predictor for the final exam score based on the time spent studying.
- Given any group that spends a fixed amount of time studying per week, 84% of all of those students will receive the predicted score on the final exam.
- 84% of all students will receive the average score on the final exam.
3. Use the model to predict the final exam score for a student who spends 11 hours per week studying.
Final exam score = (Please round your answer to the nearest whole number.)
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