Coefficient of determination

correlation coefficient between the total number of problems correct and the attitude toward test taking. Total no. of problems correct (out of a possible 20): X Attitude toward test taking (out of a possible 100): Y (X - X ̅)² (Y - Y ̅)² (X-X ̅)(Y-Y ̅) 1 17 94 1.96 204.49 20.02 2 13 73 6.76 44.89 17.42 3 12 59 12.96 428.49 74.52 4 15 80 0.36 0.09 -0.18 5 16 93 0.16 176.89 5.32 6 14 85 2.56 28.09 -8.48 7 16 66 0.16 187.69 -5.48 8 16 79 0.16 0.49 -0.28 9 18 77 5.76 7.29 -6.48 10 19 91 11.56 127.69 38.42 Total 156 797 42.40 1206.10 134.80 X ̅=156/10=15.6 Y ̅=797/10=79.7 r=(∑▒〖(X-X ̅)(Y-Y ̅ 〗) )/√(∑▒〖(X-X ̅ )^2 ∑▒(Y-Y ̅ )^2 〗) r=(134.80 )/√(42.40×1206.10)=0.5961…

Introduction I’m going to start this paper with introducing the history of Pascal’s Triangle, time ranging from 2nd century BC to 18th century AD. Among all the academic works by ancient mathematicians, I’m going to focus on Jiu Zhang Suan Shu [Nine Chapters on the Mathematical Art] composed by Chinese scholars around 2nd century BC-10th century AD. I will use the binomial expansions derived from Pascal’s triangle as an example and then illustrate the coefficients expansion in general. After…

INTRODUCTION: It has previously been held that, the States should not interfere with the domestic political affairs of other countries, since all sovereign states should have complete control of their own citizenry, free from outside interference. This is in line with the Policy Agenda of the U.S. Department of State which states that the goals of the foreign policy are “to create a more secure, democratic, and prosperous world for the benefit of the American people and the international…

for his Indian Removal Act (Robertson 69). Intense disagreements between the Five Civilized Tribes (especially the Cherokee), Senate and House of Representatives ensued, and on May 28,1830 Jackson authorized the Indian Removal Act. The Act authorized Jackson to grant unsettled lands west of the Mississippi in exchange for Indian lands within existing state borders (Robertson 75). As a result, the five tribes were sometimes peacefully and sometimes forcibly resettled in the new Indian Territory…

American Dream Plays Hard to Get “When I was 5 years old, my mother always told me that happiness was the key to life. When I went to school, they asked me what I wanted to be when I grew up. I wrote down ‘happy’,” John Lennon. Happiness is what everyone wants; it is the genuine American Dream. However, the various definitions of happiness make it unclear as to how to pursue it. Some people see it as reaching the top and having the most sumptuous items, others as having more than enough money…

What is the relationship between the self-determination of peoples and the sovereignty of states in contemporary international politics? 1 This report elucidates the link between sovereignty of states & self-determination of peoples therefore the focal point of this essay is to elaborate on the underlying concept of sovereignty as it incorporates the protection and the practice of various human rights as stipulated in the Universal Declaration of Human Rights. The main goal of this…

as a whole. That being said from the Boston Herald, “an examination of the last 30 years reveals that innovation, technology, business management improvements and the globalization of markets have enabled many more Americans to become millionaires.” I believe that family responsibility is the main reason why I worked hard to make their dreams comes true also as a child of a proud American citizen parents of United States of America; the place of the brave and the land of the free. It…

For some the American Dream is attainable, but for others it will always be just a dream. In 1913, the American Dream was introduced as “the ideal that every U.S. citizen should have an equal opportunity to achieve success and prosperity through hard work, determination and initiative”. But in times like this, it is not the case. In today’s society the American Dream is harder to achieve than it was decades ago. However, it is still possible. One of the most common ways to achieve one’s American…

The American Dream is still a reality because of many reasons.One reason is kids dropping out of school saying its a way to drop in, coming from the passage, “The Right to Fail.”Another reason is because of money.Money plays a part part in people’s American Dream,coming from the passage, “Money.”The last reason is base on everyone being created the same with certain rights,coming for the passage, “The Declaration of Independence.” The reason kids follow their American Dream is because they…

The American Dream In America today many people want to be able to achieve the American dream, but is it still really possible to achieve? The American dream’s meaning is different for almost everyone but most of our definitions are relatively the same, but from generation to generation the meaning is different. Everyone's definition of the American dream is most likely relatively different and there definition is probably very different to that of their parents’.The American dream is…