b) (V²) = 0.231, (P²)= 76.300, (VP) = 2.933, (V A) = 36.329, (PA) = 379.300 Set up the appropriate system of equations needed for a the linear regression of a model of the form A = aV + bP+c. Then estimate the parameters and report the final model.

MATLAB: An Introduction with Applications
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6.

Suppose you believe that population abundance (A) of a particular species is a linear function of vegetation coverage (V) and the presence of a predators (P). Surveys where conducted across 20 sites and found the following information:

a) There was an average of cover of .406 (40.6%) of the area, with an average 6.8 predators and 61.55 individuals in our target population.

 

b) (V²) = 0.231, (P²)
76.300, (VP) = 2.933, (VA) = 36.329, (PA) = 379.300
Set up the appropriate system of equations needed for a the linear regression of a model of the form
A = aV + bP+c. Then estimate the parameters and report the final model.
Transcribed Image Text:b) (V²) = 0.231, (P²) 76.300, (VP) = 2.933, (VA) = 36.329, (PA) = 379.300 Set up the appropriate system of equations needed for a the linear regression of a model of the form A = aV + bP+c. Then estimate the parameters and report the final model.
Expert Solution
Step 1

Given that,

     n=20                 V¯=0.406

     A¯=61.55            P¯=6.8

    V2=0.231     P2=76.300

    VP=2.933     VA=36.329

     PA=379.300

The linear regression of a model of the form A=aV+bP+c

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