Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury, for a sample of 8 adults. The following table presents the results. Systolic Diastolic 134 87 115 83 113 77 123 77 119 69 118 88 130 76 116 70
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.
Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury, for a sample of 8 adults. The following table presents the results.
| Systolic | Diastolic |
|---|---|
|
134
|
87 |
|
115
|
83 |
|
113
|
77 |
|
123
|
77
|
|
119
|
69 |
|
118
|
88 |
| 130 |
76
|
| 116 |
70
|
1. What is the 90% confidence intervals of the parameters beta0 and beta1?
2. What is the mean prediction at an input value of 125?
3. What is the 90% confidence interval of the mean prediction at an input value of 125?
4. What is the 95% confidence interval of the overall prediction at an input value of 125?
5. Write the X and Y matrices?
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