A chemical reaction is run 12 times, and the temperature xi (in ¦C) and the yield yi
Let Î²0 represent the hypothetical yield at a temperature of 0¦C, and let Î²1 represent the increase in yield caused by an increase in temperature of 1¦C. Assume that assumptions 1 through 4 on page 540 hold.
a. Compute the least-squares estimates Î²0 and Î²1.
b. Compute the error variance estimate s2.
c. Find 95% confidence intervals for Î²0 and Î²1.
d. A chemical engineer claims that the yield increases by more than 0.5 for each 1¦C increase in temperature. Do the data provide sufficient evidence for you to conclude that this claim is false?
e. Find a 95% confidence interval for the mean yield at a temperature of 40¦C.
f. Find a 95% prediction interval for the yield of a particular reaction at a temperature of 40¦C.
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