The invasive diatom speciesDidymosphenia geminatahas the potential to inflict substantial ecological and economic damage in rivers. An article described an investigation of colonization behavior. One aspect of particular interest was whethery= colony

density was related tox= rock surface area. The article contained a scatterplot and summary of a regression analysis. Here is representative data.

x 50 71 55 50 33 58 79 26

y 164 1941 60 34 14 17 47 19

x 69 44 37 70 20 45 49

y 281 50 183 25 55 197 37

(a) Fit the simple linear regression model to this data. (Round your numerical values to three decimal places.)

y=

Predict colony density when surfacearea = 70and calculate the corresponding residual. (Round your answers to the nearest whole number.)

colony density =

corresponding residual =

Predict colony density when surfacearea = 71and calculate the corresponding residual. (Round your answers to the nearest whole number.)

colony density =

corresponding residual =

(b) Calculate the coefficient of determination. (Round your answer to three decimal places.)

(c) The second observation has a very extremeyvalue (in the full data set consisting of 72 observations, there were two of these). This observation may have had a substantial impact on the fit of the model and subsequent conclusions. Eliminate it and recalculate the equation of the estimated regression line. (Round your values to three decimal places.)

y=