(Requires Appendix Material)At a Recent County Fair, You Observed That

question 30

Essay

(Requires Appendix material)At a recent county fair, you observed that at one stand
people's weight was forecasted, and were surprised by the accuracy (within a range).
Thinking about how the person could have predicted your weight fairly accurately
(despite the fact that she did not know about your "heavy bones"), you think about how
this could have been accomplished.You remember that medical charts for children
contain 5%, 25%, 50%, 75% and 95% lines for a weight/height relationship and decide to
conduct an experiment with 110 of your peers.You collect the data and calculate the
following sums: $$\begin{array} { c } \sum _ { i = 1 } ^ { n } Y _ { i } = 17,375 , \quad \sum _ { i = 1 } ^ { n } X _ { i } = 7,665.5 \\\\\sum _ { i = 1 } ^ { n } y _ { i } ^ { 2 } = 94,228.8 , \sum _ { i = 1 } ^ { n } x _ { i } ^ { 2 } = 1,248.9 , \quad \sum _ { i = 1 } ^ { n } x _ { i } y _ { i } = 7,625.9\end{array}$$
where the height is measured in inches and weight in pounds. (Small letters refer to deviations from means as in $z _ { i } = Z _ { i } - \bar { Z }$ .) (a)Calculate the slope and intercept of the regression and interpret these.

---

Definitions:

Lynch Mobs

Groups of individuals who take the law into their own hands to carry out extrajudicial punishments, often by hanging, historically associated with racial violence in the United States.

White Public

A term that could relate to the segment of the public or society consisting predominantly of White individuals, often discussed in contexts analyzing racial dynamics.

Minority Group Stereotypes

Widely held but oversimplified and fixed images or ideas of specific minority groups.

Deviant Drug Use

The use of illegal drugs or the misuse of prescription drugs in a manner that deviates from social norms or laws, often associated with harmful effects.