Suppose that in a certain chemical process the reaction time y (hr) is related t

Question

Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (degree F) in the chamber in which the reaction takes place according to the simple linear regression model with equation What is the expected change in reaction time for a increase in temperature? For an 8 degree F increase in temperature? What is the expected reaction time when temperature is 180 degree F? When temperature is 260 degree F? Suppose five observations are made independently on reaction time, each one for a temperature of 260 degree F. What is the probability that all five times are between 2.87 and 3.13 hours? (Round your answer to four decimal places.) What is the probability that two independently observed reaction times for temperatures 1 degree apart are such that the time at the higher temperature exceeds the time at the lower temperature? (Round your answer to four decimal places.)

Explanation / Answer

As the first two answers are shown correct I do not rewrite them.

(b)at 180oF y= 3.8 (hr)

    at 260oF y = 3 (hr)

(c) Probability is = 0.8958 .

(d) Probability is 0.4648 .

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