To investigate the effects of human land-use on freshwater environments, Christensenet al.(1996) conducted a study on 16 lakes in Wisconsin and Michigan.They looked for a relationship between development of the shoreline and the amount of coarse woody debris, which is detached woody material, such as tree branches.Coarse woody debris enters lakes from forested watersheds and provides physical habitat for aquatic organisms and is also important for nutrient cycling.Coarse woody debris was measured as cross-sectional area of stems in a given area (m2/km).For each area, the researchers measured cabin density (cabins/km2) to quantify shoreline development

a. Identify the dependent and independent variable, including units.

b. Create a scatterplot between the dependent and independent variable, and include a linear regression line. Describe the relationship between coarse woody debris and cabin density.

c. What is the correlation coefficient? Explain if the correlation is statistically significant.

d. Is the slope statistically significant? Explain.

e. Use the linear regression line equation to predict the amount of coarse woody debris for an area that has 10 cabins per sq. km. Is it appropriate to make this prediction?Explain.

Data:

Cabin density (no./km2)Coarse woody debris (m2/km) 0183 0.6134 0130 0121 0128 6.797 1.965 041 3.652 4.846 654 4.112 11.81 12.34 171 24.64