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.

---

Definitions:

Anorexia Nervosa

An eating disorder characterized by an obsessive fear of gaining weight, leading to extreme food restriction and dangerous weight loss.

Amenorrhea

The absence of menstruation in a woman of reproductive age, which can be a sign of health issues.

Calorie Restriction

A dietary regimen that reduces calorie intake without incurring malnutrition or a reduction in essential nutrients, often used for improving health and slowing down the aging process.

Anorexia Nervosa

An eating disorder characterized by an obsessive fear of gaining weight, leading to severe restriction of food intake and often to significant weight loss.