C3. Hypotheses Consider the following model for the proportion of endemic species on each of the Galapagos islands: proportion; = Bo + B1 log(areai) + B2 (log(areai)) + B3nearest; + B4elevation; + ci Assume that all predictors have been standardized. Express each of the questions below as a pair of statistical hypotheses about the model. (Please be sure to include both the null and alternative hypotheses.) 2 i. Does the proportion of endemic species vary linearly in log-area (after adjusting for elevation and the distance to the nearest island)? ii. Is distance to the nearest island a significant predictor of the proportion of endemic species (after accounting for elevation and log-area)? iii. Is log-area a significant predictor of the proportion of endemic species (given distance to the nearest island and elevation)? iv. Are any of the predictors in the model significant? v. Are deviations in distance to the nearest island and in elevation associated with changes of differing magnitudes in the proportion of endemic species (after accounting for log-area)