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 132 Age (years) X2 52 Weight (pounds) Хз 173 143 59 184 153 67 194 162 73 211 154 64 196 220 188 168 74 137 54 149 61 188 159 65 207 128 166 46 167 72 217
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
(E)If age were held fixed, but a person put on 15 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 15 years older, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)
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 |
|
(fFind 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 |
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