Exhibit 4-6
During the first 3 centuries AD, the Roman Empire produced coins in the Eastern provinces. Some historians argue that not all these coins were produced in Roman mints, and further that local provincial mints struck some of them. Because the "style" of coins is difficult to analyze, the historians would like to use metallurgical analysis as one tool to identify the source mints of these coins. Investigators studied 8 coins known to have been produced by the mint in Rome in an attempt to identify a trace element profile for these coins, and have identified gold and lead as possible factors in identifying other coins as having been minted in Rome. The gold and lead content, measured as a % of weight of each coin, is given in the table, and a scatter plot of these data is presented below.
-Refer to Exhibit 4-6.
a)What is the equation of the least squares best fit line?
b)Sketch the best fit line on the scatter plot.
c)What is the value of the correlation coefficient? Interpret this value.
d)What is the value of the coefficient of determination? Give an interpretation of this value.

Question

Exhibit 4-6
During the first 3 centuries AD, the Roman Empire produced coins in the Eastern provinces. Some historians argue that not all these coins were produced in Roman mints, and further that local provincial mints struck some of them. Because the "style" of coins is difficult to analyze, the historians would like to use metallurgical analysis as one tool to identify the source mints of these coins. Investigators studied 8 coins known to have been produced by the mint in Rome in an attempt to identify a trace element profile for these coins, and have identified gold and lead as possible factors in identifying other coins as having been minted in Rome. The gold and lead content, measured as a % of weight of each coin, is given in the table, and a scatter plot of these data is presented below.  
-Refer to Exhibit 4-6.
a)What is the equation of the least squares best fit line?
b)Sketch the best fit line on the scatter plot.
c)What is the value of the correlation coefficient? Interpret this value.
d)What is the value of the coefficient of determination? Give an interpretation of this value.

Quizplus · Accepted Answer

The Answer of Exhibit 4-6
During the first 3 centuries AD, the Roman Empire produced coins in the Eastern provinces. Some historians argue that not all these coins were produced in Roman mints, and further that local provincial mints struck some of them. Because the "style" of coins is difficult to analyze, the historians would like to use metallurgical analysis as one tool to identify the source mints of these coins. Investigators studied 8 coins known to have been produced by the mint in Rome in an attempt to identify a trace element profile for these coins, and have identified gold and lead as possible factors in identifying other coins as having been minted in Rome. The gold and lead content, measured as a % of weight of each coin, is given in the table, and a scatter plot of these data is presented below.  
-Refer to Exhibit 4-6.
a)What is the equation of the least squares best fit line?
b)Sketch the best fit line on the scatter plot.
c)What is the value of the correlation coefficient? Interpret this value.
d)What is the value of the coefficient of determination? Give an interpretation of this value.

Exhibit 4-6 During the First 3 Centuries AD, the Roman Empire Produced