An industrial outfall is discharging into a stream. An environmental researcher

Question

An industrial outfall is discharging into a stream. An environmental researcher wants a regression model to predict the iron concentration at a location in the stream based on the distance from the industrial outfall. The iron concentration (in mg/L) was measured at several distances from the outfall (in m); the summary data and correlation are below. Using the summary data and correlation above, compute the slope and intercept of the regression line. Round both values to four places. Fill in the blanks in the following sentence: In the regression model above, about A % of the variability in B is accounted for by variation in C. The numerical value that belongs in blank A is: The variable that belongs in blank B is: The variable that belongs in blank C is:

Explanation / Answer

#4

Slope = r*Sy/Sx = 0.788*13.21/361.43 = 0.0288

Intercept = y_bar - Slope*X_bar = 41.9-0.0288*466 = 28.4792

#5

Explained variable is Iron Concentration, Explanatory variable is Distance from Outfall and R^2 of regression = 0.788^2 = 0.62094

Hence,

A = 62.094%

B = Iron Concentration

C = Distance from Outfall

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