Question: In a simple linear regression problem, the correlation coefficient r and the slope b 1 : must be equal to each other. must have the
In a simple linear regression problem, the correlation coefficient r and the slope b1:
| must be equal to each other. | |
| must have the same sign. |
| must have opposite signs. | |
| are not related. |
Linear regression can achieve which of the following?
| Identify how much variable y will change if variable x changes. | |
| Predict someone's Biostatistics grade from her mathematical ability. |
| If the weather gets 30% colder, then the sales of scarves will increase by 50%. | |
| All of the above. |
A biostatistician finds the relationship between the number of weeks (x) spent in a hospital and number of seizures per week (y) and is described by the following equation: .9 -.91x This is based on a sample size of 50 patients and the associated coefficient of correlation is, r = -.93.
Using this information answer the following question: How many seizures per week would you predict for a person who has been at the hospital for ten weeks?
| 24.0 | |
| 5.8 |
| 14.9 | |
| -.91 |
A biostatistician finds the relationship between the number of weeks (X) spent in a hospital and number of seizures per week (Y) and is described by the following equation: .9 (-.91X) This is based on a sample size of 50 patients and the associated coefficient of correlation is , r = -.93.
Using this information above, answer the following question: How do you interpret r = -.93?
| There is a perfect positive relationship between the number of weeks spent in a hospital and the number of seizures recorded. | |
| There is a perfect negative relationship between the number of weeks spent in a hospital and the number of seizures recorded. |
| There is a strong negative relationship between the number of weeks spent in a hospital and the number of seizures recorded. | |
| There is a strong positive relationship between the number of weeks spent in a hospital and the number of seizures recorded. |
The range of the correlation coefficient is?
| -1 to 0. | |
| 0 to 1 |
| -1 to 1 | |||||||||
| None of the above | |||||||||
|
Two variables have a positive association when
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