The lecturer is interested to see what variables, if any will help determine the number of hours spent on studying statistics. Test and find any regression models that can help determine the number of hours spent on studying. (Hint run Study hrs. on…) (a) On average, how much do males study more(less) than females? (b) Do people who enjoy the Big Bang Theory impact on the number of hours studies? (c) Is age a determining factor on the number of hours studied? (d) Do students with a stronger math background study more or less? Also state how much more or less Answer sub question d
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.
| Quiz Results | EQR | Study Hrs | Age | Sex | BBT | MB | MC | AuHS | LM |
| 15 | 10 | 3 | 19 | 0 | 0 | 1 | 1 | 0 | 1 |
| 14 | 15 | 4 | 24 | 0 | 0 | 1 | 0 | 0 | 1 |
| 9 | 15 | 1 | 20 | 0 | 10 | 1 | 0 | 0 | 1 |
| 6 | 10 | 3 | 21 | 0 | 0 | 1 | 1 | 0 | 1 |
| 14 | 15 | 4 | 21 | 0 | 9 | 1 | 0 | 0 | 1 |
| 12 | 10 | 6 | 21 | 0 | 2 | 0 | 1 | 0 | 1 |
| 12 | 13 | 2 | 21 | 1 | 8 | 1 | 0 | 0 | 0 |
| 15 | 15 | 0 | 20 | 0 | 8 | 1 | 0 | 0 | 1 |
| 12 | 15 | 3 | 20 | 0 | 10 | 1 | 0 | 0 | 1 |
| 13 | 15 | 0.2 | 19 | 0 | 8 | 1 | 0 | 0 | 1 |
| 15 | 15 | 2 | 20 | 0 | 6 | 1 | 0 | 1 | 1 |
| 12 | 14 | 5 | 20 | 0 | 5 | 1 | 1 | 1 | 1 |
| 14 | 15 | 7 | 22 | 0 | 8 | 0 | 0 | 0 | 0 |
| 7 | 7 | 10 | 21 | 1 | 7 | 0 | 0 | 1 | 0 |
| 11 | 15 | 5 | 24 | 0 | 0 | 1 | 0 | 0 | 1 |
| 10 | 10 | 3 | 22 | 1 | 0 | 1 | 0 | 0 | 1 |
| 13 | 11 | 3 | 23 | 1 | 1 | 1 | 1 | 1 | 1 |
| 13 | 15 | 2 | 22 | 1 | 8 | 0 | 0 | 0 | 0 |
| 13 | 12 | 4 | 20 | 1 | 7 | 1 | 0 | 1 | 0 |
| 13 | 10 | 3 | 20 | 1 | 0 | 1 | 0 | 0 | 1 |
| 8 | 13 | 5 | 20 | 1 | 8 | 0 | 0 | 0 | 0 |
| 12 | 13 | 5 | 22 | 0 | 5 | 0 | 0 | 0 | 1 |
| 13 | 15 | 8 | 22 | 0 | 5 | 0 | 1 | 0 | 1 |
| 10 | 13 | 4 | 23 | 1 | 7 | 1 | 0 | 0 | 1 |
| 13 | 13 | 0.5 | 20 | 1 | 0 | 0 | 0 | 0 | 0 |
| 12 | 13 | 0.5 | 20 | 1 | 0 | 1 | 0 | 0 | 0 |
| 15 | 15 | 2 | 21 | 0 | 10 | 1 | 0 | 0 | 1 |
| 10 | 13 | 6 | 22 | 0 | 6 | 1 | 1 | 0 | 1 |
| 11 | 8 | 5 | 20 | 0 | 10 | 0 | 0 | 1 | 0 |
| 12 | 10 | 4 | 19 | 1 | 0 | 1 | 0 | 0 | 1 |
| 8 | 5 | 2 | 20 | 1 | 0 | 1 | 0 | 1 | 0 |
| 11 | 13 | 6 | 20 | 1 | 7.5 | 1 | 1 | 1 | 1 |
| 10 | 3 | 12 | 21 | 0 | 4 | 1 | 0 | 1 | 0 |
| 8 | 11 | 2 | 19 | 0 | 0 | 1 | 0 | 0 | 1 |
| 15 | 15 | 3 | 23 | 1 | 2 | 1 | 0 | 0 | 1 |
| 11 | 14 | 1 | 23 | 0 | 10 | 1 | 1 | 1 | 1 |
| 13 | 14 | 4 | 21 | 1 | 8 | 1 | 0 | 1 | 1 |
| 9 | 15 | 3 | 22 | 0 | 5 | 1 | 0 | 0 | 0 |
| 13 | 14 | 4 | 21 | 0 | 9 | 1 | 0 | 0 | 1 |
| 13 | 15 | 4 | 20 | 0 | 5 | 1 | 0 | 0 | 1 |
| 11 | 13 | 5 | 20 | 1 | 8 | 0 | 0 | 0 | 0 |
| 7 | 10 | 3 | 24 | 1 | 5 | 1 | 0 | 1 | 1 |
| 14 | 15 | 3 | 20 | 0 | 6 | 1 | 0 | 0 | 1 |
| 13 | 15 | 3 | 20 | 0 | 8 | 0 | 0 | 0 | 0 |
| 8 | 12 | 0.5 | 22 | 1 | 2 | 1 | 1 | 0 | 1 |
| 8 | 10 | 4 | 19 | 1 | 7 | 0 | 0 | 1 | 1 |
| 15 | 15 | 3 | 20 | 0 | 7 | 1 | 0 | 0 | 1 |
| 14 | 14 | 3 | 19 | 0 | 8 | 1 | 0 | 0 | 1 |
| 7 | 10 | 3 | 21 | 1 | 0 | 0 | 0 | 1 | 0 |
| 11 | 13 | 2 | 21 | 0 | 7 | 1 | 1 | 0 | 1 |
| 14 | 15 | 6 | 22 | 0 | 6 | 1 | 0 | 0 | 1 |
| 9 | 12 | 3 | 21 | 1 | 0 | 1 | 0 | 0 | 1 |
| 14 | 15 | 2 | 22 | 0 | 5 | 1 | 0 | 0 | 1 |
| 9 | 8 | 4 | 21 | 0 | 7 | 1 | 0 | 1 | 1 |
| 15 | 15 | 7 | 20 | 0 | 6 | 1 | 0 | 0 | 1 |
| 13 | 14 | 3 | 23 | 1 | 4 | 0 | 1 | 0 | 0 |
| 14 | 15 | 5 | 21 | 0 | 5 | 1 | 0 | 0 | 1 |
| 12 | 13 | 5 | 19 | 1 | 6 | 1 | 0 | 0 | 0 |
| 14 | 12 | 2 | 22 | 1 | 10 | 1 | 0 | 0 | 1 |
| 14 | 13 | 2 | 22 | 0 | 10 | 1 | 0 | 0 | 0 |
| 11 | 12 | 3 | 22 | 0 | 8 | 1 | 0 | 1 | 1 |
| 4 | 1 | 9 | 30 | 0 | 10 | 1 | 0 | 1 | 1 |
| 14 | 15 | 3 | 21 | 1 | 8 | 1 | 0 | 0 | 1 |
| 15 | 15 | 3 | 20 | 0 | 0 | 0 | 0 | 0 | 0 |
| 13 | 15 | 3 | 19 | 1 | 7 | 1 | 0 | 0 | 1 |
| 14 | 15 | 2 | 21 | 1 | 6 | 1 | 0 | 0 | 1 |
| 8 | 5 | 3 | 20 | 0 | 0 | 1 | 0 | 1 | 1 |
| 7 | 10 | 9 | 21 | 1 | 0 | 1 | 1 | 0 | 1 |
| 12 | 14 | 4 | 20 | 0 | 0 | 1 | 0 | 0 | 0 |
| 6 | 8 | 4 | 21 | 0 | 1 | 1 | 1 | 0 | 0 |
| 9 | 10 | 5 | 20 | 0 | 2 | 0 | 0 | 1 | 0 |
| 10 | 13 | 2 | 20 | 1 | 6 | 1 | 1 | 1 | 0 |
| 10 | 12 | 1 | 25 | 1 | 5 | 1 | 0 | 1 | 1 |
| 13 | 15 | 2 | 21 | 1 | 3 | 1 | 0 | 0 | 1 |
| 9 | 8 | 1 | 29 | 0 | 0 | 0 | 1 | 0 | 0 |
| 12 | 13 | 2 | 19 | 0 | 0 | 1 | 0 | 0 | 1 |
| 12 | 15 | 3 | 20 | 0 | 0 | 1 | 0 | 0 | 1 |
| 14 | 12 | 7 | 19 | 0 | 3 | 1 | 0 | 1 | 1 |
| 8 | 7 | 1 | 19 | 1 | 0 | 0 | 1 | 0 | 0 |
| 14 | 12 | 1 | 23 | 1 | 6 | 1 | 0 | 1 | 1 |
| 11 | 9 | 3 | 20 | 1 | 5 | 0 | 1 | 1 | 1 |
| 13 | 15 | 2 | 21 | 1 | 0 | 1 | 0 | 0 | 1 |
| 14 | 11 | 2 | 19 | 1 | 9 | 0 | 0 | 0 | 0 |
| 11 | 14 | 4 | 22 | 1 | 10 | 0 | 0 | 0 | 1 |
| 10 | 8 | 5 | 20 | 1 | 5 | 0 | 0 | 1 | 1 |
| 11 | 13 | 1 | 22 | 1 | 2 | 0 | 0 | 0 | 0 |
| 14 | 15 | 0.5 | 20 | 0 | 8 | 1 | 0 | 0 | 0 |
| 12 | 14 | 15 | 23 | 0 | 0 | 1 | 1 | 0 | 1 |
| 10 | 12 | 4 | 19 | 1 | 0 | 0 | 1 | 1 | 1 |
| 14 | 12 | 0 | 20 | 1 | 3 | 1 | 0 | 1 | 1 |
| 13 | 10 | 2 | 19 | 1 | 0 | 1 | 0 | 1 | 0 |
| 15 | 12 | 2 | 20 | 1 | 3 | 1 | 0 | 1 | 1 |
| 8 | 10 | 3 | 19 | 1 | 1 | 1 | 0 | 1 | 1 |
| 14 | 12 | 5 | 21 | 0 | 0 | 1 | 0 | 0 | 1 |
| 6 | 10 | 2 | 21 | 1 | 8 | 1 | 0 | 0 | 1 |
| 8 | 8 | 2 | 21 | 1 | 1 | 1 | 0 | 1 | 1 |
| 12 | 10 | 2 | 20 | 0 | 7 | 1 | 0 | 1 | 1 |
| 9 | 6 | 3 | 20 | 0 | 1 | 1 | 1 | 1 | 1 |
| 7 | 8 | 4 | 19 | 1 | 9 | 1 | 1 | 1 | 0 |
| 13 | 11 | 6 | 19 | 1 | 6 | 1 | 0 | 0 | 1 |
| 13 | 10 | 2 | 25 | 1 | 0 | 1 | 0 | 0 | 1 |
| 14 | 14 | 2 | 25 | 1 | 5 | 1 | 0 | 0 | 0 |
The lecturer is interested to see what variables, if any will help determine the number of hours spent on studying statistics. Test and find any regression models that can help determine the number of hours spent on studying. (Hint run Study hrs. on…)
(a) On average, how much do males study more(less) than females?
(b) Do people who enjoy the Big Bang Theory impact on the number of hours studies?
(c) Is age a determining factor on the number of hours studied?
(d) Do students with a stronger math background study more or less? Also state how much more or less
Answer sub question d
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