At a Recent Music Concert, a Survey Was Conducted That

question 187

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. $$\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Age } & 62 & 57 & 40 & 49 & 67 & 54 & 43 & 65 & 54 & 41 \\\hline \text { Number of concerts } & 6 & 5 & 4 & 3 & 5 & 5 & 2 & 6 & 3 & 1 \\\hline\end{array}$$ $$\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Age } & 44 & 48 & 55 & 60 & 59 & 63 & 69 & 40 & 38 & 52 \\\hline \text { Number of Concerts } & 3 & 2 & 4 & 5 & 4 & 5 & 4 & 2 & 1 & 3 \\\hline\end{array}$$ a. Draw a scatter diagram of the data to determine whether a linear model appears to be appropriate to describe the relationship between the age and number of concerts attended by the respondents.
b. Determine the least squares regression line.
c. Plot the least squares regression line.
d. Interpret the value of the slope of the regression line.

---

Definitions:

Northern Climates

Refers to the weather conditions typical of northern geographical regions, often characterized by colder temperatures and varied precipitation.

Genetic Influence

The impact of genes passed down from parents to offspring on various traits and behaviors, indicating a hereditary component.

Genetic Influence

The impact of genes inherited from parents on the physical and psychological traits of an individual.

Genetic Basis

The underlying genetic makeup or genomic foundation that contributes to the physical and behavioral traits of an organism.