Question

Wildlife researchers monitor many wildlife populations by taking aerial photographs. can they estimate the weight of alligators accurately from the air?
dependent variable is weight
R^2 = 83.6%
s=54.01

intercept(variable) -393(coefficient) 47.53(SE Coeff) -8.27(T ratio) <0.0001(p value)
Length(variable) 5.9(coefficient) 0.5448(SE Coeff) 10.8 (t ratio) <0.0001 (p value)

a) did they chose the correct variable to use as the dependent variable and the predictor? explain
b)what is the correlation between an alligators length and weight
c) write the regression equation
d) interpret the slope of the equation in this context