The data show the time intervals after an eruption (to the next eruption) of a certain geyser. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted time of the interval after an eruption given that the current eruption has a height of 7070 feet. Use a significance level of 0.05. Height (ft) 9696 128128 7575 128128 8888 7373 8080 9696 Interval after (min) 6666 8585 5959 8686 7070 7575 7373 7575 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? ModifyingAbove y with caretyequals=nothingplus+nothingx (Round to two decimal places as needed.)
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!
|
Height (ft)
|
9696
|
128128
|
7575
|
128128
|
8888
|
7373
|
8080
|
9696
|
|
|---|---|---|---|---|---|---|---|---|---|
|
Interval after (min)
|
6666
|
8585
|
5959
|
8686
|
7070
|
7575
|
7373
|
7575
|
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