The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained. Systolic Blood pressue x1 Age (years) x2 Weight (pounds) x3 132 52 173 143 59 184 153 67 194 162 73 211 154 64 196 168 74 220 137 54 188 149 61 188 159 65 207 128 46 167 166 72 217
The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained.
| Systolic Blood pressue x1 |
Age (years) x2 |
Weight (pounds) x3 |
| 132 | 52 | 173 |
| 143 | 59 | 184 |
| 153 | 67 | 194 |
| 162 | 73 | 211 |
| 154 | 64 | 196 |
| 168 | 74 | 220 |
| 137 | 54 | 188 |
| 149 | 61 | 188 |
| 159 | 65 | 207 |
| 128 | 46 | 167 |
| 166 | 72 | 217 |
(f) Find a 90% confidence interval for each coefficient. (Use 2 decimal places.)
| lower limit | upper limit | |
| β2 | ||
| β3 |
(g) Suppose Michael is 68 years old and weighs 192 pounds. Predict his systolic blood pressure, and find a 90% confidence
| prediction | |
| lower limit | |
| upper limit |
If age were held fixed, but a person put on 12 pounds, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)
If a person kept the same weight but got 12 years older, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)
(e) Test each coefficient to determine if it is zero or not zero. Use level of significance 5%. (Use 2 decimal places for t and 3 decimal places for the P-value.)
| t | P value | |
| β2 | ||
| β3 |
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 10 images
