NARRBEGIN: Marc Anthony Concert
Marc Anthony Concert
at a Recent

question 98

Essay

NARRBEGIN: Marc Anthony Concert
Marc Anthony Concert
At a recent Marc Anthony concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the first of the year. The following data were collected:
$$\begin{array}{l}\begin{array} { | l | c c c c c c c c c c | } \hline \text { Age } & 62 & 57 & 40 & 49 & 67 & 54 & 43 & 65 & 54 & 41 \\\hline \text { Number af Concerts } & 6 & 5 & 4 & 3 & 5 & 5 & 2 & 6 & 3 & 1 \\\hline\end{array}\\\begin{array} { | l | c c c c c c c c c c | } \hline \text { Age } & 44 & 48 & 55 & 60 & 59 & 63 & 69 & 40 & 38 & 52 \\\hline \text { Number of Concerts } & 3 & 2 & 4 & 5 & 4 & 5 & 4 & 2 & 1 & 3 \\\hline\end{array}\end{array}$$ An Excel output follows: $\begin{array} { l } \text {SUMMARY OUTPUT }& \text {DESCRIPTIVE STATISTICS }\\\begin{array}{lc}\hline{\text { Reqression Statistics }} \\\hline \text { Multiple R } & 0.80203 \\\text { R Square } & 0.64326 \\\text { Adjusted R Square } & 0.62344 \\\text { Standard Error } & 0.93965 \\\text { Observations } & 20 \\\hline\end{array}&\begin{array}{lclc}\hline {\text { Age }} && {\text { Concerts }} \\\hline \text { Mean } & 53 & \text { Mean } & 3.65 \\\text { Standard Error } & 2.1849 & \text { Standard Error } & 0.3424 \\\text { Standard Deviation } & 9.7711 & \text { Standard Deviation } & 1.5313 \\\text { Sample Variance } & 95.4737 & \text { Samplevariance } & 2.3447 \\\text { Count } & 20 & \text { Court } & 20 \\\hline\end{array}\end{array}$
$\text { SPEARMAN RANK CORRELATION COEFFICIENT }=0.8306$
$\begin{array}{lccccc} & \text { df } & \text { SS } & \text { MS } & \text { F } & \text { Sign\&icance F } \\\hline \text { Regression } & 1 & 28.65711 & 28.65711 & 32.45653 & 2.1082 \mathrm{E}-05 \\\text { Residual } & 18 & 15.89289 & 0.88294 & & \\\text { Total } & 19 & 44.55 & & & \\\hline\end{array}$

$\begin{array}{lcccccc} & \text { Coefficients} & \text { Standard Error } & \text { t Stat } & \text { Rvale } & \text { Lower 95\% } & \text { Upoer 95\% } \\\hline \text { Intercept } & -3.01152 & 1.18802 & -2.53491 & 0.02074 & -5.50746 & -0.5156 \\\text { Age } & 0.12569 & 0.02206 & 5.69706 & 0.00002 & 0.07934 & 0.1720 \\\hline\end{array}$ NARREND
-{Marc Anthony Concert Narrative} Plot the residuals against the predicted values $\hat { y }$ .

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Definitions:

Wealthy Society

A society characterized by the abundance of valuable resources, financial assets, and a high standard of living among its members.

Sympathetic Introspection

Cooley’s concept of the value of putting yourself into another person’s shoes and seeing the world as he or she does.

The Looking Glass Self

A concept in sociology that suggests an individual's self-concept is influenced by how they believe others perceive them.

The Me

A concept in sociology referring to the socialized aspect of an individual, influenced by interactions with others and society.