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: $$\begin{array} { l l l l l l l l }
\hline x & .18 & .20 & .21 & .21 & .21 & .22 & .23 \
\hline y & .46 & .70 & .41 & .45 & .55 & .44 & .24 \
\hline & & & & & & & \
\hline x & .23 & .24 & .24 & .25 & .28 & .30 & .37 \
\hline y & .47 & .22 & .80 & .88 & .70 & .72 & .75 \
\hline
\end{array}$$ 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?

Question

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: $$\begin{array} { l l l l l l l l } 
\hline x & .18 & .20 & .21 & .21 & .21 & .22 & .23 \
\hline y & .46 & .70 & .41 & .45 & .55 & .44 & .24 \
\hline & & & & & & & \
\hline x & .23 & .24 & .24 & .25 & .28 & .30 & .37 \
\hline y & .47 & .22 & .80 & .88 & .70 & .72 & .75 \
\hline
\end{array}$$ 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?

Quizplus · Accepted Answer

The Answer of 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: $$\begin{array} { l l l l l l l l } 
\hline x & .18 & .20 & .21 & .21 & .21 & .22 & .23 \
\hline y & .46 & .70 & .41 & .45 & .55 & .44 & .24 \
\hline & & & & & & & \
\hline x & .23 & .24 & .24 & .25 & .28 & .30 & .37 \
\hline y & .47 & .22 & .80 & .88 & .70 & .72 & .75 \
\hline
\end{array}$$ 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?

Hydrogen Content Is Conjectured to Be an Important Factor in Porosity