Question

The invasive diatom species Didymosphenia gen y density was related to analysis. Here is r 79 26 y373 1950 69 4323 26 56 28 69 $4 3770 20 45 49 y290 59 192 36 66 206 a Fit the simple imal places. colony density corresponding residua Predict colony density when surface are colony density corresponding residual residual. (Round your answers to the nearest whole number.) How do the residuals compare? O 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. O The residuals for both points are negative. 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 O The coefficient of determination is the probability that the regression model fits the data. O The coefficient of determination is the increase in colony density due to an increase in one unit of colony density. @ 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 O 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 (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 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.)

The invasive diatom species Didymosphenia gen
y density was related to
analysis. Here is r
79 26 y373 1950 69 4323 26 56 28
69 $4 3770 20 45 49
y290 59 192 36 66 206
a Fit the simple
imal places.
colony density corresponding residua
Predict colony density when surface are colony density corresponding residual
residual. (Round your answers to the nearest whole number.)
How do the residuals compare? O 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. O The residuals for both points are negative.
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 O The coefficient of determination is the probability that the regression model fits the data. O The coefficient of determination is the increase in colony density due to an increase in one unit of colony density. @ 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 O 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
(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 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.)

Added by Jamie P.

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