(c) The second observation has a very extreme y value (in the full data set consisting of 72 observations, there were two of these). This observation may have had a substantial impact on thefit 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 =Does it appear to differ substantially from the equation before the deletion?The new equation is substantially different.The new equation is not substantially different.What is the impact on r and s?O r and s are both larger.O r and s are both smaller.O r2 is larger, while s is smaller.Or is smaller, while s is larger. The invasive diatom species Didymosphenia geminata has 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 whether y =colony density was related to x = rock surface area. The article contained a scatterplot and summary of a regression analysis. Here is representativedata.507155 50 3358 7926173195069 43 232656 2869443770 204549y290 59192 3464 206 46(a) Fit the simple linear regression model to this data. (Round your numerical values to three decimal places.)y = -284.881 + 9.963(x)Predict colony density when surface area = 70 and calculate the corresponding residual. (Round your answers to the nearest whole number.)colony density413corresponding residual-379Predict colony density when surface area = 71 and calculate the corresponding residual. (Round your answers to the nearest whole number.)colony density422corresponding residual1528How do the residuals compare?O The residuals for both points are positive.The residual for the first point is positive, while the residual for the second point is negative.The residual for the first point is negative, while the residual for the second point is positive.The residuals for both points are negative.(b) Calculate the coefficient of determination. (Round your answer to three decimal places.)Interpret the coefficient of determination.O The coefficient of determination is the increase in rock surface area due to an increase in one unit of rock surface area.The coefficient of determination is the proportion of the total variation in colony density that can be explained by a linear regression model with rock surface area as the predictor.The coefficient of determination is the probability that the regression model fits the data.The coefficient of determination is the proportion of the total variation in rock surface area that can be explained by a linear regression model with colony density as the predictor.O The coefficient of determination is the increase in colony density due to an increase in one unit of colony density.

Question

Accepted Answer

Given:
x is the rock surface area and y is the colony density

x
y

50
173

71
1950

55
69…