To find out how sensitive coral reefs are to water temperatures, scientists examined data on mean...
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To find out how sensitive coral reefs are to water temperatures, scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in centimeters per year) at locations in the Gulf of Mexico and the Caribbean Sea. The data is contained in the table below. Sea Surface Temperature Coral Growth (cm) (degrees Celsius) 26.8 .79 26.7 .85 26.7 .83 26.6 .85 26.5 .86 26.4 .84 26.3 .89 26.2 .88 26.1 .92 a) Using your calculator, create a scatter plot of the data. (Sketch the graph shown on your calculator screen, and submit it to be graded.) b) Find a regression equation between the sea surface temperature and the coral growth. (Round coefficients to three decimal places) = c) Use the regression equation to find the amount of coral growth when the mean surface temperature is 26.75 degrees Celsius. (Round to three decimal places) cm d) Find the correlation coefficient and interpret the value. b) Find a regression equation between the sea surface temperature and the coral growth. (Round coefficients to three decimal places) + DX c) Use the regression equation to find the amount of coral growth when the mean surface temperature is 26.75 degrees Celsius. (Round to three decimal places) cm d) Find the correlation coefficient and interpret the value. Correlation Coefficient = (Round to three decimal places) Interpretation: (Instructor will grade this problem) e) What percent of the variation in the coral growth is explained by the linear relationship between the water temperature and the coral growth? % (Round to the nearest percent) To find out how sensitive coral reefs are to water temperatures, scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in centimeters per year) at locations in the Gulf of Mexico and the Caribbean Sea. The data is contained in the table below. Sea Surface Temperature Coral Growth (cm) (degrees Celsius) 26.8 .79 26.7 .85 26.7 .83 26.6 .85 26.5 .86 26.4 .84 26.3 .89 26.2 .88 26.1 .92 a) Using your calculator, create a scatter plot of the data. (Sketch the graph shown on your calculator screen, and submit it to be graded.) b) Find a regression equation between the sea surface temperature and the coral growth. (Round coefficients to three decimal places) = c) Use the regression equation to find the amount of coral growth when the mean surface temperature is 26.75 degrees Celsius. (Round to three decimal places) cm d) Find the correlation coefficient and interpret the value. b) Find a regression equation between the sea surface temperature and the coral growth. (Round coefficients to three decimal places) + DX c) Use the regression equation to find the amount of coral growth when the mean surface temperature is 26.75 degrees Celsius. (Round to three decimal places) cm d) Find the correlation coefficient and interpret the value. Correlation Coefficient = (Round to three decimal places) Interpretation: (Instructor will grade this problem) e) What percent of the variation in the coral growth is explained by the linear relationship between the water temperature and the coral growth? % (Round to the nearest percent)
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Related Book For
Statistics for Psychology
ISBN: 978-0205258154
6th edition
Authors: Arthur Aron, Elaine N. Aron, Elliot J. Coups
Posted Date:
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