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

question 24

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: $$\begin{array} { c } \sum _ { i = 1 } ^ { n } Y _ { i } = 17,375 , \sum _ { i = 1 } ^ { n } X _ { i } = 7,665.5 , \\\\\sum _ { i = 1 } ^ { n } y _ { i } ^ { 2 } = 94,228.8 , \sum _ { i = 1 } ^ { n } x _ { i } ^ { 2 } = 1,248.9 , \sum _ { i = 1 } ^ { n } x _ { i } y _ { i } = 7,625.9\end{array}$$ 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.
(b)Find the regression R² and explain its meaning. What other factors can you think of that might have an influence on the weight of an individual?

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Definitions:

Jazz

A music genre that originated in the African-American communities of New Orleans in the late 19th and early 20th centuries, characterized by syncopated rhythms and improvisation.

Technological Advance

The progress and innovation in technology, leading to the development of new devices, systems, or methods that improve efficiency, capability, and performance.

Appeal

A process by which a case is brought before a higher court for review of the decision of a lower court, aiming to overturn or modify the lower court's judgment.

Universal Negro Improvement Association

An organization founded by Marcus Garvey in 1914, aimed at promoting African cultures and economic independence among African people globally.