At a Recent Music Concert, a Survey Was Conducted That

question 183

Essay

At a recent music concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the beginning of the year. The following data were collected. $$\begin{array}{l}\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Age } & 62 & 57 & 40 & 49 & 67 & 54 & 43 & 65 & 54 & 41 \\\hline \text { Number of concerts } & 6 & 5 & 4 & 3 & 5 & 5 & 2 & 6 & 3 & 1 \\\hline\end{array}\\\\\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Age } & 44 & 48 & 55 & 60 & 59 & 63 & 69 & 40 & 38 & 52 \\\hline \text { Number of Concerts } & 3 & 2 & 4 & 5 & 4 & 5 & 4 & 2 & 1 & 3 \\\hline\end{array}\end{array}$$ a. Determine the standard error of estimate and describe what this statistic tells you about the model's fit.
b. Interpret the coefficient of correlation.
c. Interpret the coefficient of determination, and discuss what its value tells you about the two variables.

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Definitions:

American Revolution

The conflict between Great Britain’s 13 American colonies and the colonial government, which led to the colonies’ gaining independence and forming the United States of America.

U.S. Literary Celebrity

An American author whose work has gained extensive public attention and fame, often resulting in their becoming a notable figure within the literary culture.

Washington Irving

An American author, essayist, biographer, and historian of the early 19th century known for works such as "The Legend of Sleepy Hollow" and "Rip Van Winkle."