Ornithologists, scientists who study birds, tag sparrow hawks in 13 different colonies to study their population. They gather data for the percent of new sparrow hawks in each colony and the percent of those that have returned from migration. Percent return: 74; 66; 83; 54; 73; 65; 52; 45; 66; 43; 60; 46; 38 Percent new: 6; 10; 8; 13; 12; 15; 16; 17; 18; 18; 20; 20; 20 Enter the data into your calculator and make a scatter plot. Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot. (a) What is the equation of the least-squares regression line? Use x to represent percent return. Round any calculated values to two decimal places. = (b) Explain in words what the slope and y-intercept of the regression line tell us. Round your answer to two decimal places. The slope of the least squares line is Number percentage of new birds in the colony Click for List For each percentage increase in returning birds, the by Number The y-intercept of the least squares line is Number be almost Number new sparrow hawks. When there are no returning sparrow hawks, there will (c) How well does the regression line fit the data? Explain your response. Round your answer to two decimal places. The coefficient of determination indicates that Number explained by the model. The correlation coefficient, r = Number correlation between returning and new percentages. % of the variation in the percent of new birds is indicates a fairly Click for List (d) An ecologist wants to predict how many birds will join another colony of sparrow hawks to which 70% of the adults from the previous year have returned. What is the prediction? Round your answer to the nearest integer. The predicted percent of new birds is Number %.