You Are at a College of Roughly 1,000 Students and Obtain

question 39

Essay

You are at a college of roughly 1,000 students and obtain data from the entire freshman class (250 students)on height and weight during orientation. You consider this to be a population that you want to describe, rather than a sample from which you want to infer general relationships in a larger population. Weight (Y)is measured in pounds and height (X)is measured in inches. You calculate the following sums: $\sum _ { i = 1 } ^ { n } y _ { i } ^ { 2 }$ = 94,228.8, $\sum _ { i = 1 } ^ { n } x _ { i } ^ { 2 }$ = 1,248.9, $\sum _ { i = 1 } ^ { n } x _ { i } y _ { i }$ = 7,625.9
(small letters refer to deviations from means as in $\mathrm { z } _ { i }$ = $Z _ { i }$ - $\bar { Z }$ ).
(a)Given your general knowledge about human height and weight of a given age, what can you say about the shape of the two distributions?
(b)What is the correlation coefficient between height and weight here?

---

Definitions:

Advertising Formats

Advertising formats refer to the various ways in which promotional content can be presented to audiences, including digital ads, print ads, video commercials, and social media posts.

Social Context

The environmental and cultural factors that influence the behaviors, actions, and interactions of individuals or groups within a society.

Socially Generated Data

Information created by users through online interactions and activities on social media platforms, often analyzed for trends, behaviors, and insights.

Resultant Strategic Decisions

Decisions made at a strategic level as a result of analyzing data and insights, influencing the direction of an organization.