Some types of algae have the potential to cause damage to river ecosystems. The accompanying data on algae colony densit

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Some Types Of Algae Have The Potential To Cause Damage To River Ecosystems The Accompanying Data On Algae Colony Densit 1 (63.46 KiB) Viewed 11 times

Some types of algae have the potential to cause damage to river ecosystems. The accompanying data on algae colony density (y) and rock surface area (x) for nine rivers is a subset of data that come from a study. 51 55 50 79 44 37 71 45 50 y 152 48 24 35 36 171 15 185 25 x LAUSE SALT (a) Find the equation of the least squares line. (Round your answers to four decimal places.) ý = |x (b) What is the value of ² for this data set? (Round your answer to four decimal places.) Write a sentence interpreting this value in context. (Round your answer to two decimal place.) % of the variability in algae colony density can be explained by the approximate linear relationship between algae colony density and rock surface area. (c) What is the value of s for this data set? (Round your answer to five decimal places.) Write a sentence interpreting this value in context. O Observations tend to deviate from the least squares regression line by the value of s typically. O All observations are exactly s from the least squares regression line. O All observations are exactly 2s from the least squares regression line. O Observations tend to be s below the least squares regression line on average. O Observations tend to deviate from the least squares regression line by the value of 2s typically. (d) Is the linear relationship between rock surface area and algae colony density positive or negative? Is it weak, moderate, or strong? Justify your answer. The relationship between rock surface area and algae colony density is ---Select---because the slope of the regression line is --Select-. The relationship is-Select---