Wildlife researchers monitor many wildlife populations by taking aerial photographs. Can they estimate the weights of alligators accurately from the air? Here is a regression analysis of the Weight of alligators (in pounds) and their Length (in inches) based on data collected about captured alligators.
Dependent variable is Weight
R-squared = 83.6%
s = 54.01

a) Did they choose the correct variable to use as the dependent variable and the predictor? Explain.
b) What is the correlation between an alligator's length and weight?
c) Write the regression equation.
d) Interpret the slope of the equation in this context.
e) Do you think this equation will allow the scientists to make accurate predictions about alligators? What part of the regression analysis indicates this? What additional concerns do you have?

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Intercept 393.3 47.5 Length rable Coefficient SE(Coeff) t-Ratio P-Value -8.27 <0.0001 5.9 0.5448 10.8 <0.0001