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: 78 ; 66; 83; 55; 73; 65; 52;
43; 65; 43; 60; 46; 38 Percent new: 7; 11; 8; 15; 12; 15; 16; 17; 18; 18; 20; 20; 20 Enter the data
into your calculator and make a scatter plot. Use your calculators 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. y^= Preview Change entry mode (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 . For each percentage increase in returning birds, the
percentage of new birds in the colony by . The y -intercept of the least squares line is . When
there are no returning sparrow hawks, there will be almost new sparrow hawks. (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 % of the variation in the percent of new
birds is explained by the model. The correlation coefficient, r= indicates a fairly correlation
between returning and new percentages. (d) An ecologist wants to predict how many birds will
join another colony of sparrow hawks to which 64% 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 %..
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Ornithologists, scientists who study birds, tag sparrow hawks in 13 .pdf
1. 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: 78 ; 66; 83; 55; 73; 65; 52;
43; 65; 43; 60; 46; 38 Percent new: 7; 11; 8; 15; 12; 15; 16; 17; 18; 18; 20; 20; 20 Enter the data
into your calculator and make a scatter plot. Use your calculators 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. y^= Preview Change entry mode (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 . For each percentage increase in returning birds, the
percentage of new birds in the colony by . The y -intercept of the least squares line is . When
there are no returning sparrow hawks, there will be almost new sparrow hawks. (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 % of the variation in the percent of new
birds is explained by the model. The correlation coefficient, r= indicates a fairly correlation
between returning and new percentages. (d) An ecologist wants to predict how many birds will
join another colony of sparrow hawks to which 64% 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 %.
