(a) Write the regression model (please do not round coefficients): 1 - height + -diameter (b) Keeping diameter constant, how much additional volume should we expect from an average tree if height is increased by 1 foot? cubic feet (c) Are each of the predictors, "height" and "diameter" significant predictors of volume? OYes, since the p-values associated with each predictor are less than 0.05 O Only diameter is a significant predictor since it has the smallest p-value ONo, since the p-values associated with each predictor are less than 0.05 (d) How much volume is expected from a tree that measures 79 feet tall and has a diameter of 11.3 inches? (please round to the nearest cubic foot) cubic feet (e) A tree in the data set measures 79 feet tall, has a diameter of 11.3 inches, and is 24.2 cubic feet in volume. Determine whether the model gives an overestimate or underestimate of the volume of this tree. O overestimate Ounderestimate

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