Reconsider the situation described in Example
31. Reconsider the situation described in Example 12.5, in which x = CO2 concentration and y = mass of 11-month-old pine trees. Suppose the simple linear regression model is valid for x between 450 and 750,
a. Carry out the model utility test at level .01, using the rejection region approach.
b. Repeat part (a) using the P-value approach.
c. Suppose it had previously been believed that
-
and that b1 = .008 and s = .5. Consider an experi-
when NO3 wet deposition increases by .1 g
ment in which n = 7, and the x values at which ob-
servations are made are x1 = 450, x2 = 500, x3 =
550, x4 = 600, x5 = 650, x6 = 700, and x7 = 750.
a.
Calculate sbˆ , the standard deviation of bˆ1.
b. What is the probability that the estimated slope based on such observations will be between .006 and .010?
c. Suppose it is also possible to make a single ob- servation at each of the n = 11 values 525, 540, 555, 570, . . . , 675. If a major objective is to es- timate b1 as accurately as possible, would the ex- periment with n = 11 be preferable to the one with n = 7?
Jul 11 2016 08:17 AM
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Posted 06 May 2017 03:05 PM
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