eparasitic bacterium Pasteuria ramoso castrates and later kills its host, the Da

Question

eparasitic bacterium Pasteuria ramoso castrates and later kills its host, the Daphnia magna. The length of time hes infection and host death affects the nu spores eventually produced andreleasrof crus by the site, as the following scatter plot reveals The x-axis measures age at death for 32 host individuals, and the response variable is the square-root-transformed number of s in ected pores produced by the infecting parasite (Jensen et 2006) al. o 3000 2500 2000- g 1500 1000 500- 30 40 50 60 70 80 Host longevity (days) a. Describe the shape of the relationship between the number of spores and host longevity What equation would be best to try first if you wanted to carry out a nonlinear regression of Y on X? b.

Explanation / Answer

(A). Just by looking at the scatter plot we can say that the relationship is more or less parabolic Look at the graph of y=-a*x2+b*x+c where a<0. From a point near x=50,if x moves towards either direction,y decreases exponentially. So,the parabolic equation will best fit the plot.

(B).As it is a parabolic plot,so quadratic regression equation is expected to work fine for the data.Linear regression will not help here,Cubic equation can also be fitted.But quadratic equation will be enough able to fit the data properly.

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