(Requires Appendix)(continuation from Chapter 4) Where the Height Is Measured in Inches and Weight in

Essay

(Requires Appendix)(continuation from Chapter 4).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 homoskedasticity-only standard errors and, using the resulting t-
statistic, perform a test on the null hypothesis that there is no relationship between
height and weight in the population of college students.