Monitoring the yield of a particular chemical reaction at various reaction vessel temperatures produces the results shown in the following table.

a. Find the least-squares estimates for β0, β1, and σ2 for the simple linear model Yield = β0 + β1 Temp + ε.
b. Can you conclude that β0 is not equal to 0?
c. Can you conclude that β1 is not equal to 0?
d. Make a residual plot. Does the linear model seem appropriate?
e. Find a 95% confidence interval for the slope.
f. Find a 95% confidence interval for the mean yield at a temperature of 225—¦C.
g. Find a 95% prediction interval for a yield at a temperature of 225—¦C.

Transcribed Image Text:

Temp. (°C) 150 150 150 200 200 200 Yield (%) 77.4 76.7 78.2 84.1 84.5 83.7 || Temp. (°C) 250 250 250 300 300 300 Yield (%) 88.9 89.2 89.7 94.8 94.7 95.9