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The invasive diatom species Didymosphenia gemi- nata has the potential to inflict substantial eco- logical and economic damage in rivers. The article Substrate Characteristics Affect
The invasive diatom species Didymosphenia gemi- nata has the potential to inflict substantial eco- logical and economic damage in rivers. The article Substrate Characteristics Affect Colonization by the Bloom-Forming Didymosphenia geminata (Aquatic Ecology, 2010: 3340) described an in- vestigation of colonization behavior. One aspect of particular interest was whether y = colony density was related to x = rock surface area. The article contained a scatterplot and summary of a regression analysis. Here is representative data: X: 55 33 58 50 71 152 1929 50 22 79 35 y: 48 2 5 X: 26 69 7 269 44 37 38 171 70 13 20 45 43 185 49 25 y: a. Determine the equation of the least squares line for this data and then calculate and interpret the coefficient of determination. b. The second observation has a very extreme y value (in the full data set consisting of 72 ob- servations, there were 2 of these). This obser- vation may have had a substantial impact on the form of the regression function and subse- quent conclusions. Eliminate it and redo part (a). What do you conclude
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