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and species richness Data Set #1 You have noticed that the field site for your c

ID: 3361560 • Letter: A

Question

and species richness Data Set #1 You have noticed that the field site for your cottontail rabbit research is experiencing declines in understory plant species richness. You suspect that the dedines are caused by the spread of an invasive plant, Asian honeysuckle, and consider promoting a more rigorous honeysuckle removal program. To evaluate whether honeysuckle density is affecting understory richness, you set up an experiment where you record plant species richness as a function of honeysuckle density (stems per meter') throughout the property. Using a random sampling design and geographical Information ystem (GIS) to identify sampling poins, you measure understory species ridhnessand honeyuddle density resuling in the following data set 23 15 27 3i 10 36 21 12 Regression t-test chi-square Analysis of Variance

Explanation / Answer

[ANSWER: Regression}

Based on the given data, Regression should be used

calculation procedure for regression

mean of X = X / n = 17

mean of Y = Y / n = 6.1

(Xi - Mean)^2 = 1328

(Yi - Mean)^2 = 202.9

(Xi-Mean)*(Yi-Mean) = -479

b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2

= -479 / 1328

= -0.36069

bo = Y / n - b1 * X / n

bo = 6.1 - -0.36069*17 = 12.23178

value of regression equation is, Y = bo + b1 X

Y'=12.23178-0.36069* X

X Y (Xi - Mean)^2 (Yi - Mean)^2 (Xi-Mean)*(Yi-Mean) 23 5 36 1.21 -6.6 2 15 225 79.21 -133.5 27 2 100 16.81 -41 31 1 196 26.01 -71.4 5 10 144 15.21 -46.8 8 8 81 3.61 -17.1 36 1 361 26.01 -96.9 21 3 16 9.61 -12.4 5 11 144 24.01 -58.8 12 5 25 1.21 5.5