Fall 2022 MA 2025 EOL 11 Homework 2 Homework 2 Remaining Time: Unlimited Question 7 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 6 points returned from migration. Percent return: 76; 66; 82; 54; 73; 66; 52; 45; 63; 43; 60; 46; 38 Percent new: 7; 6; 8; 14; 12; 15; 16; 17; 18; 18; 17; 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 :1: to represent percent retum. 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. (b) Explain in words what the slope and yintercept of the regression line tell us. Round your answer to two decimal places. The slope of the least squares line is -. For each percentage increase in returning birds, the percentage of new birds in the colony decreases o by -. The yintercept of the least squares line is -. there will be almost new sparrow hawks. When there are no returning sparrow hawks, (c) How well does the regression line t the data? Explain your response. Round your answer to two decimal places. The coefcient of determination indicates that is explained by the model. The correlation coefcient, r: o.79 9 indicates a fairly % of the variation in the percent of new birds strong 9 correlation between returning and new percentages