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Hydrogen Content Is Conjectured to Be an Important Factor in Porosity

Question 3

Essay

Hydrogen content is conjectured to be an important factor in porosity of aluminum alloy castings. The accompanying data on x = content and y = gas porosity for one particular measurement technique have been reported: x.18.20.21.21.21.22.23y.46.70.41.45.55.44.24x.23.24.24.25.28.30.37y.47.22.80.88.70.72.75\begin{array} { l l l l l l l l } \hline x & .18 & .20 & .21 & .21 & .21 & .22 & .23 \\\hline y & .46 & .70 & .41 & .45 & .55 & .44 & .24 \\\hline & & & & & & & \\\hline x & .23 & .24 & .24 & .25 & .28 & .30 & .37 \\\hline y & .47 & .22 & .80 & .88 & .70 & .72 & .75 \\\hline\end{array} MINITAB gives the following output in response to a CORRELATION command:
Correlation of Hydrogen and Porosity = 0.449
a. Test at level .05 to see whether the population correlation coefficient differs from 0.
b. If a simple linear regression analysis had been carried out, what percentage of observed variation in porosity could be attributed to the model relationship?

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