Homework Sourse1 Fill in the blank For these data GAS scores that are less
1. Fill in the blank: For these data, GAS scores that are less than the mean of the GAS scores tend to be paired with sleep times that are _____ the mean of the sleep times.
Choose onegreater thanless than
2. Fill in the blank: According to the regression equation, for an increase of one in GAS score, there is a corresponding _____ of 0.30 hours in sleep time.
Choose one
increase
decrease
3. From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 8.8 ? (Round your answer to at least one decimal place.)
4. From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 2.1 ? (Round your answer to at least one decimal place.)
| GAS score X | Sleep time, Y (in hours) |
| 3.5 | 7.9 |
| 6.0 | 8.2 |
| 6.5 | 6.0 |
| 9.0 | 6.4 |
| 1.2 | 7.1 |
| 8.0 | 7.0 |
| 4.1 | 7.1 |
| 8.0 | 5.3 |
| 8.8 | 5.3 |
| 1.6 | 8.9 |
| 3.1 | 7.1 |
| 4.9 | 5.8 |
| 3.8 | 8.6 |
| 7.1 | 6.3 |
| 1.9 | 8.2 |
Solution
1. Fill in the blank: For these data, GAS scores that are less than the mean of the GAS scores tend to be paired with sleep times that are _greater than____ the mean of the sleep times.
2. Fill in the blank: According to the regression equation, for an increase of one in GAS score, there is a corresponding ___decrease__ of 0.30 hours in sleep time.
Choose one
increase
decrease
3. From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 8.8 ? (Round your answer to at least one decimal place.)
Predicted sleep time when GAS is 8.8 is 8.56-0.3(8.8) =8.56-2.64=5.92
4. From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 2.1 ? (Round your answer to at least one decimal place.)
Predicted sleep time when GAS is 2.1 is 8.56-0.3(2.1) =8.56-0.63=7.93
