Computer and plot residuals from the linear relationships


Data is the effect of reaction temp on the mole weight of resulting poly polyos.

x(pot temp) y(avg. mole weight)

165 808
176 940
188 1183
205 1545
220 2012
235 2362
250 2742
260 2935

Use a statistical package to help complete the following:

a) What fraction of the observed raw variation in y is accounted for by a linear equation in X?

b) Fit a linear relationship y=Bo+B1x to these data via least squares. About what change in avg. mole weight seems to accompany a 1 degree C increase in pot temp(at least over the experimental range of temps)?

c) Computer and plot Residuals from the linear relationships fit in b) Discuss what they suggest about the appropriateness of that fitted equation. (Plot residuals versus X, residuals versus Y, and make a normal plot of them).

D) These data came from a test where the investigator managed the value of X. There is a fairly glaring weakness in the experimenters data collection efforts, what is it?

E) Based on your analysis of these data, what avg. Mole weight would you predict for an additional reaction run at 188 degrees?Why or wouldnt you be willing to make a similar prediction of avg mole weight if the reaction is run at 70 degrees?

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Basic Statistics: Computer and plot residuals from the linear relationships
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