STA302H1 Midterm: UTSG STA 302 exsols04

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7 Mar 2019
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1: olympic gold medal performances in track and eld improve over time. A regression was run with dependent variable longjump, the winning distance in the long jump (in inches), and independent variable year, the year the olympics was held after 1900 (counting 1900 as year 0). Data from the olympics held from 1900 through 1984 were used (some olympics were missed during the world wars). Questions based on this output are on the next 2 pages. Continued (a) (2 marks) estimate the mean change in the winning long jump distance from one olympics to the next, assuming that the olympics are held every 4 years. 4(0. 61308) = 2. 453 (b) (1 mark) estimate the variance in winning long jump distance that is not ex- plained by the year the olympics were held. 95. 196 (c) (1 mark) estimate the percent of total variability in winning long jump distance that is explained by the year the olympics were held.

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