# Additional Ch3 Review AfterAssess1 KEY

Powerful Essays
909 Words
Grammar
Plagiarism
Writing
Score
AP Statistics – Chapter 3 – Linear Regression – LT5.1 to LT5.4 Additional Review Practice

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 local mints, and further that the mint of Rome 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 11 coins known to have been produced by local mints 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 locally minted. The gold and lead content, measured as a % of weight of each coin, is given in the table at right, and a scatter plot of these data is presented below.
1. a) What is the equation of the least squares line?

%Lead vs. %Gold b) Sketch the best fit line on the scatter plot.

c) What is the value of the correlation coefficient?
Interpret this value in context.

The scatterplot suggests a linear association between Gold % by Weight and
Lead % by Weight. The value of the correlation coefficient indicates that this association is moderately strong and positive.

d) What is the value of the coefficient of determination? Give an interpretation of this value in context.

48.7% of the variation in Lead % by Weight is accounted for by the LSRL with Gold % by Weight.

2. Suppose that the locally minted coins analyzed in problem 1 are representative of the metallurgical content of mints in the Eastern provinces of the Roman Empire during the first 300 years AD.

a) If a locally minted coin is selected at random, and it's gold content is 0.30% by weight, calculate the predicted lead content. Be sure to use correct notation and units.

b) One of the coins used to calculate the regression equations has a gold content

## You May Also Find These Documents Helpful

• Good Essays

Questions to answer to help guide the development of procedures for the determination of the percent copper and zinc in pennies through titration and gravimetric techniques:…

• 623 Words
• 3 Pages
Good Essays
• Good Essays

The endocrine system produces hormones in the body and it can be manipulated to cause an individual to change their behavior.…

• 1599 Words
• 13 Pages
Good Essays
• Good Essays

A) How would each element below be related to the specific content of the experiment reported in the abstract?…

• 883 Words
• 4 Pages
Good Essays
• Satisfactory Essays

5. Which variable has the weakest relationship with the Quadriceps strength index 120Åã/s? Provide a rationale…

• 331 Words
• 1 Page
Satisfactory Essays
• Satisfactory Essays

Coefficient of determination is the percentage of the variation in the ________ variable that results from the ________ variable.…

• 927 Words
• 4 Pages
Satisfactory Essays
• Satisfactory Essays

10. The goldsmiths were something like modern-day bankers; their receipts were something like modern-day money.…

• 505 Words
• 3 Pages
Satisfactory Essays
• Powerful Essays

Mahvish Zehra, e. C. (n.d.). How to Calculate Coefficient of Determination. Retrieved from eHow mom: http://www.ehow.com/how_6399202_calculate-coefficient-determination.html…

• 1221 Words
• 5 Pages
Powerful Essays
• Good Essays

To determine whether pre-conquest England was a sophisticated state we must examine and explore the organisation of finances. What emerged in England in the 10th and 11th centuries was an efficient system of taxation based upon sound currency. The minting of coins…

• 717 Words
• 3 Pages
Good Essays
• Better Essays

Today, most people take coins for granted. They are simply used as a form of payment, a means to determine which football team will get the ball first, or even as a way to pass time. However, in Rome in the third century AD this was not the case.…

• 1322 Words
• 6 Pages
Better Essays
• Good Essays

Coins in Rome were often used as a tool to show the Roman people and Roman Senate that there would be heirs to take over should the emperor die. It was used as a means of displaying that there would be a peaceful succession rather than a civil war. Also, coins were used because they spread fast and went everywhere information people of news almost like a newspaper. The three coins discussed in this paper all have the theme of the informing people of the Roman Empire of the future succession of powers.…

• 965 Words
• 4 Pages
Good Essays
• Satisfactory Essays

REGION | MINERALS | PLACES/PROVINCES LOCATED | % | TOTAL PERCENTAGE OF MINERALS PER REGION | NCR | Gold | - | 0 | 0 | | Copper | - | | | | Iron | - | | | | Nickel | - | | | CAR | Gold | Abra, Apayao, Benguet, Ifugao, Kalinga, Mountain Province, Baguio City | 0.8 | 25% | | Copper | Abra, Apayao, Benguet, Ifugao, Kalinga, Mountain Province, Baguio City | 20 | | | Iron | Benguet, Abra, Apayao, Ifugao | 0.5 | | | Nickel | Ifugao | 3.7 | | 1 | Gold | Ilocos Norte | 0.3 | 8% | | Copper | Ilocos Norte, Ilocos Sur | 7.0 | | | Iron | Ilocos Norte | 0.4 | | | Nickel | Pangasinan | 0.3 | | 2 | Gold | Cagayan Valley | 0.1 | 2% | | Copper | Cagayan Valley | 0.5 | | | Iron | Cagayan Valley | 0.9 | | | Nickel | Batanes | 0.5 | | 3 | Gold | Zambales, Bulacan | 0.2 | 3% | | Copper | Zambales, Bulacan | 2.0 | | | Iron | Nueva Ejica, Bulacan | 0.5 | | | Nickel | Pampanga | 0.3 | | 4-A | Gold | Batangas | 0.1 | 2% | | Copper | Batangas | 1.0 | | | Iron | Rizal | 0.2 | | | Nickel | Palawan | 0.7 | | REGION | MINERALS | PLACES/PROVINCES LOCATED | % | TOTAL PERCENTAGE OF MINERALS PER REGION | 4-B | Gold | Marinduque | 0.1 | 4% | | Copper | Mindoro | 1.0 | | | Iron | Romblon | 0.7 | | | Nickel | Palawan, Romblon | 2.0 | | 5 | Gold | Albay | 0.1 | 3% | | Copper | Albay Provinces | 1.0 | | | Iron | Albay, Camarines Norte | 0.9 | | | Nickel | Masbate | 1.0 | | 6 | Gold | Antique | 0.1 | 2% | | Copper | Negros Occidental | 0.4 | | | Iron | Capiz | 0.5 | | | Nickel | Guimaras | 1.0 | | 7 | Gold | Bohol, Cebu | 0.1 | 3% | | Copper | Cebu, Negros Oriental | 1.0 | | | Iron | Negros Oriental | 0.5 | | | Nickel | Negros Oriental, Siquijor | 1.4 | | 8 | Gold | Leyte Provinces, Biliran | 0.1 | 4% | | Copper | Leyte and Samar Provinces | 3.0 | | | Iron | Northern Samar | 0.4 | | | Nickel | Samar Provinces | 0.5 | | 9 | Gold | Zamboanga del…

• 510 Words
• 3 Pages
Satisfactory Essays
• Satisfactory Essays

Direct Assessment: Assesses the way you say you will. When the student is assessed in the condition as stated in the performance or behavioral objectives (e.g., on a written examination, in a lab setting, given tools, materials, and equipment).…

• 616 Words
• 3 Pages
Satisfactory Essays
• Powerful Essays

Correlation Coefficient p.12: number ranging between -1.00 and +1.00 that represents the degree and direction of relation between two variables.…

• 4430 Words
• 18 Pages
Powerful Essays
• Good Essays

Correlation coefficients measure the strength of association between two variables. The most common correlation coefficient, called the Pearson product-moment correlation coefficient, measures the strength of the linear association between variables.…

• 447 Words
• 2 Pages
Good Essays
• Powerful Essays

Introduction .............................................................................................................................................. 1 Ancient Accounting: Dawn of Man through Luca Pacioli ......................................................... 2 Accounting In Mesopotamia, circa 3500 B.C. ............................................................................. 3 Accounting In Ancient Egypt, China, Greece and Rome ......................................................... 4 Medieval Accounting ............................................................................................................................. 6 Italian Renaissance: Birth of Double Entry Bookkeeping ....................................................... 8 Luca Pacioli and The Summa ............................................................................................................. 9 Pacioli's System: Memorandum, Journal and Ledger ............................................................ 10 Significance of the Summa ............................................................................................................... 11 Scotland - Birthplace of the Modern Profession ....................................................................... 12 Professional Accountancy Travels Across the Globe ............................................................... 14 Into The Twentieth Century and Beyond .................................................................................... 15 Accounting History Bibliography..................................................................................................... 16…

• 6299 Words
• 26 Pages
Powerful Essays